R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, “Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system,” Phys. Rev. Lett. 86, 4528–4531 (2001).

[CrossRef]
[PubMed]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

X. Liu, K. Beckwitt, and F. W. Wise, “Noncollinear generation of optical spatiotemporal solitons and application to ultrafast logic,” Phys. Rev. E 61, R4722–R4725 (2000).

[CrossRef]

M. Vaupel, A. Maitre, and C. Fabre, “Observation of pattern formation in optical parametric oscillators,” Phys. Rev. Lett. 83, 5278–5281 (1999).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631–4634 (1999).

[CrossRef]

B. Bourliaguet, V. Couderc, A. Barthelemy, G. W. Ross, P. G. R. Smith, D. C. Hanna, and C. De Angelis, “Observation of quadratic spatial solitons in periodically poled lithium niobate,” Opt. Lett. 24, 1410–1412 (1999).

[CrossRef]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

D. V. Petrov and L. Torner, “Observation of topological charge pair nucleation in parametric wave mixing,” Phys. Rev. E 84, 7903–7907 (1998).

[CrossRef]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from traveling-wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

L. Bergé, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259–372 (1998).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Multistability of three-wave parametric self-trapping,” Phys. Rev. Lett. 78, 3286–3289 (1997).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Parametric spatial solitary waves due to type II second harmonic generation,” J. Opt. Soc. Am. B 14, 3110–3118 (1997).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, D. M. Baboiu, and G. I. Stegeman, “Properties of type II quadratic solitons excited by imbalanced fundamental waves,” Opt. Lett. 22, 1748–1750 (1997).

[CrossRef]

T. A. B. Kennedy and S. Trillo, “Squeezing of cw light in a single-mode dispersive χ^{(2)} medium,” Phys. Rev. A 54, 4396–4407 (1996).

[CrossRef]
[PubMed]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1996).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive media,” Phys. Rev. Lett. 77, 5210–5213 (1996).

[CrossRef]
[PubMed]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138–1141 (1996).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Yu. S. Kivshar, “Instability of solitons governed by quadratic nonlinearity,” Phys. Rev. Lett. 75, 591–594 (1995).

[CrossRef]
[PubMed]

Ch. Bosshard, R. Speiter, M. Zgonick, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optics effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[CrossRef]
[PubMed]

A. G. Kalocsai and J. W. Haus, “Asymptotic wave-wave processes beyond cascading in quadratic nonlinear optical materials,” Phys. Rev. E 52, 3166–3183 (1995).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

A. G. Kalocsai and J. W. Haus, “Nonlinear Schrödinger equation for optical media with quadratic nonlinearity,” Phys. Rev. A 49, 574–585 (1994).

[CrossRef]
[PubMed]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ^{(2)}:χ^{(2)} cascading,” J. Opt. Soc. Am. B 11, 2434–2443 (1994).

[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

M. J. Werner and P. D. Drummond, “Strongly coupled nonlinear parametric solitary waves,” Opt. Lett. 19, 613–615 (1994).

[CrossRef]
[PubMed]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, “Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos,” Opt. Lett. 17, 637–639 (1992).

[CrossRef]

M. Segev, B. Crosignani, A. Yariv, and B. Fisher, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[CrossRef]
[PubMed]

Yu. N. Karamzin and A. P. Sukhorukov, “Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency converters,” JETP Lett. 20, 339–342 (1974).

L. A. Ostroskii, “Self-action of light in crystals,” Pis'ma Zh. Eksp. Teor. Fiz. 5, 331–334 (1967).

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482 (1964).

[CrossRef]

P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from traveling-wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, D. M. Baboiu, and G. I. Stegeman, “Properties of type II quadratic solitons excited by imbalanced fundamental waves,” Opt. Lett. 22, 1748–1750 (1997).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138–1141 (1996).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

X. Liu, K. Beckwitt, and F. W. Wise, “Noncollinear generation of optical spatiotemporal solitons and application to ultrafast logic,” Phys. Rev. E 61, R4722–R4725 (2000).

[CrossRef]

L. Bergé, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259–372 (1998).

[CrossRef]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

Ch. Bosshard, R. Speiter, M. Zgonick, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optics effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[CrossRef]
[PubMed]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Multistability of three-wave parametric self-trapping,” Phys. Rev. Lett. 78, 3286–3289 (1997).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Parametric spatial solitary waves due to type II second harmonic generation,” J. Opt. Soc. Am. B 14, 3110–3118 (1997).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1996).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive media,” Phys. Rev. Lett. 77, 5210–5213 (1996).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Yu. S. Kivshar, “Instability of solitons governed by quadratic nonlinearity,” Phys. Rev. Lett. 75, 591–594 (1995).

[CrossRef]
[PubMed]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, D. M. Baboiu, and G. I. Stegeman, “Properties of type II quadratic solitons excited by imbalanced fundamental waves,” Opt. Lett. 22, 1748–1750 (1997).

[CrossRef]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482 (1964).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from traveling-wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fisher, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[CrossRef]
[PubMed]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from traveling-wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998).

[CrossRef]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

M. Vaupel, A. Maitre, and C. Fabre, “Observation of pattern formation in optical parametric oscillators,” Phys. Rev. Lett. 83, 5278–5281 (1999).

[CrossRef]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, “Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system,” Phys. Rev. Lett. 86, 4528–4531 (2001).

[CrossRef]
[PubMed]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

M. Segev, B. Crosignani, A. Yariv, and B. Fisher, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[CrossRef]
[PubMed]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, D. M. Baboiu, and G. I. Stegeman, “Properties of type II quadratic solitons excited by imbalanced fundamental waves,” Opt. Lett. 22, 1748–1750 (1997).

[CrossRef]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482 (1964).

[CrossRef]

Ch. Bosshard, R. Speiter, M. Zgonick, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optics effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[CrossRef]
[PubMed]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

A. G. Kalocsai and J. W. Haus, “Asymptotic wave-wave processes beyond cascading in quadratic nonlinear optical materials,” Phys. Rev. E 52, 3166–3183 (1995).

[CrossRef]

A. G. Kalocsai and J. W. Haus, “Nonlinear Schrödinger equation for optical media with quadratic nonlinearity,” Phys. Rev. A 49, 574–585 (1994).

[CrossRef]
[PubMed]

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).

[CrossRef]
[PubMed]

A. G. Kalocsai and J. W. Haus, “Asymptotic wave-wave processes beyond cascading in quadratic nonlinear optical materials,” Phys. Rev. E 52, 3166–3183 (1995).

[CrossRef]

A. G. Kalocsai and J. W. Haus, “Nonlinear Schrödinger equation for optical media with quadratic nonlinearity,” Phys. Rev. A 49, 574–585 (1994).

[CrossRef]
[PubMed]

Yu. N. Karamzin and A. P. Sukhorukov, “Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency converters,” JETP Lett. 20, 339–342 (1974).

T. A. B. Kennedy and S. Trillo, “Squeezing of cw light in a single-mode dispersive χ^{(2)} medium,” Phys. Rev. A 54, 4396–4407 (1996).

[CrossRef]
[PubMed]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Parametric spatial solitary waves due to type II second harmonic generation,” J. Opt. Soc. Am. B 14, 3110–3118 (1997).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Multistability of three-wave parametric self-trapping,” Phys. Rev. Lett. 78, 3286–3289 (1997).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1996).

[CrossRef]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive media,” Phys. Rev. Lett. 77, 5210–5213 (1996).

[CrossRef]
[PubMed]

D. E. Pelinovsky, A. V. Buryak, and Yu. S. Kivshar, “Instability of solitons governed by quadratic nonlinearity,” Phys. Rev. Lett. 75, 591–594 (1995).

[CrossRef]
[PubMed]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

X. Liu, K. Beckwitt, and F. W. Wise, “Noncollinear generation of optical spatiotemporal solitons and application to ultrafast logic,” Phys. Rev. E 61, R4722–R4725 (2000).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631–4634 (1999).

[CrossRef]

M. Vaupel, A. Maitre, and C. Fabre, “Observation of pattern formation in optical parametric oscillators,” Phys. Rev. Lett. 83, 5278–5281 (1999).

[CrossRef]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, “Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system,” Phys. Rev. Lett. 86, 4528–4531 (2001).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ^{(2)}:χ^{(2)} cascading,” J. Opt. Soc. Am. B 11, 2434–2443 (1994).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

L. A. Ostroskii, “Self-action of light in crystals,” Pis'ma Zh. Eksp. Teor. Fiz. 5, 331–334 (1967).

D. E. Pelinovsky, A. V. Buryak, and Yu. S. Kivshar, “Instability of solitons governed by quadratic nonlinearity,” Phys. Rev. Lett. 75, 591–594 (1995).

[CrossRef]
[PubMed]

D. V. Petrov and L. Torner, “Observation of topological charge pair nucleation in parametric wave mixing,” Phys. Rev. E 84, 7903–7907 (1998).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631–4634 (1999).

[CrossRef]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, “Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system,” Phys. Rev. Lett. 86, 4528–4531 (2001).

[CrossRef]
[PubMed]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138–1141 (1996).

[CrossRef]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ^{(2)}:χ^{(2)} cascading,” J. Opt. Soc. Am. B 11, 2434–2443 (1994).

[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fisher, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[CrossRef]
[PubMed]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

Ch. Bosshard, R. Speiter, M. Zgonick, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optics effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[CrossRef]
[PubMed]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1996).

[CrossRef]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, “Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system,” Phys. Rev. Lett. 86, 4528–4531 (2001).

[CrossRef]
[PubMed]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, D. M. Baboiu, and G. I. Stegeman, “Properties of type II quadratic solitons excited by imbalanced fundamental waves,” Opt. Lett. 22, 1748–1750 (1997).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138–1141 (1996).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

Yu. N. Karamzin and A. P. Sukhorukov, “Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency converters,” JETP Lett. 20, 339–342 (1974).

D. V. Petrov and L. Torner, “Observation of topological charge pair nucleation in parametric wave mixing,” Phys. Rev. E 84, 7903–7907 (1998).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ^{(2)}:χ^{(2)} cascading,” J. Opt. Soc. Am. B 11, 2434–2443 (1994).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482 (1964).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Parametric spatial solitary waves due to type II second harmonic generation,” J. Opt. Soc. Am. B 14, 3110–3118 (1997).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

T. A. B. Kennedy and S. Trillo, “Squeezing of cw light in a single-mode dispersive χ^{(2)} medium,” Phys. Rev. A 54, 4396–4407 (1996).

[CrossRef]
[PubMed]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive media,” Phys. Rev. Lett. 77, 5210–5213 (1996).

[CrossRef]
[PubMed]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, “Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos,” Opt. Lett. 17, 637–639 (1992).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from traveling-wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998).

[CrossRef]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

M. Vaupel, A. Maitre, and C. Fabre, “Observation of pattern formation in optical parametric oscillators,” Phys. Rev. Lett. 83, 5278–5281 (1999).

[CrossRef]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, “Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos,” Opt. Lett. 17, 637–639 (1992).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

X. Liu, K. Beckwitt, and F. W. Wise, “Noncollinear generation of optical spatiotemporal solitons and application to ultrafast logic,” Phys. Rev. E 61, R4722–R4725 (2000).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631–4634 (1999).

[CrossRef]

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).

[CrossRef]
[PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

M. Segev, B. Crosignani, A. Yariv, and B. Fisher, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[CrossRef]
[PubMed]

Ch. Bosshard, R. Speiter, M. Zgonick, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optics effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[CrossRef]
[PubMed]

A. V. Buryak, Y. S. Kivshar, and S. Trillo, “Parametric spatial solitary waves due to type II second harmonic generation,” J. Opt. Soc. Am. B 14, 3110–3118 (1997).

[CrossRef]

C. R. Menyuk, R. Schiek, and L. Torner, “Solitary waves due to χ^{(2)}:χ^{(2)} cascading,” J. Opt. Soc. Am. B 11, 2434–2443 (1994).

[CrossRef]

Yu. N. Karamzin and A. P. Sukhorukov, “Nonlinear interaction of diffracted light beams in a medium with quadratic nonlinearity: mutual focusing of beams and limitation on the efficiency of optical frequency converters,” JETP Lett. 20, 339–342 (1974).

L. Torner, D. Mihalache, D. Mazilu, E. M. Wright, W. E. Torruellas, and G. I. Stegeman, “Stationary trapping of light beams in bulk second-order nonlinear media,” Opt. Commun. 121, 149–155 (1995).

[CrossRef]

G. Cappellini, S. Trillo, S. Wabnitz, and R. Chisari, “Two wave mixing in a quadratic nonlinear medium: bifurcations, spatial instabilities, and chaos,” Opt. Lett. 17, 637–639 (1992).

[CrossRef]

D. C. Hutchings, J. S. Aitchison, and C. N. Ironside, “All-optical switching based on nondegenerate phase shifts from a cascaded second-order nonlinearity,” Opt. Lett. 18, 793–795 (1993).

[CrossRef]
[PubMed]

R. A. Fuerst, M. T. G. Canva, D. M. Baboiu, and G. I. Stegeman, “Properties of type II quadratic solitons excited by imbalanced fundamental waves,” Opt. Lett. 22, 1748–1750 (1997).

[CrossRef]

M. J. Werner and P. D. Drummond, “Strongly coupled nonlinear parametric solitary waves,” Opt. Lett. 19, 613–615 (1994).

[CrossRef]
[PubMed]

B. Bourliaguet, V. Couderc, A. Barthelemy, G. W. Ross, P. G. R. Smith, D. C. Hanna, and C. De Angelis, “Observation of quadratic spatial solitons in periodically poled lithium niobate,” Opt. Lett. 24, 1410–1412 (1999).

[CrossRef]

R. A. Fuerst, M. T. G. Canva, G. I. Stegeman, G. Leo, and G. Assanto, “Robust generation, properties and potential applications of quadratic spatial solitons generated by optical parametric amplification,” Opt. Quantum Electron. 30, 907–921 (1998).

[CrossRef]

G. I. Stegeman, D. J. Hagan, and L. Torner, “χ^{(2)} cascading phenomena and their applications to all-optical signal processing, mode-locking, pulse compression and solitons,” Opt. Quantum Electron. 28, 1691–1740 (1996).

[CrossRef]

L. Bergé, “Wave collapse in physics: principles and applications to light and plasma waves,” Phys. Rep. 303, 259–372 (1998).

[CrossRef]

A. G. Kalocsai and J. W. Haus, “Nonlinear Schrödinger equation for optical media with quadratic nonlinearity,” Phys. Rev. A 49, 574–585 (1994).

[CrossRef]
[PubMed]

T. A. B. Kennedy and S. Trillo, “Squeezing of cw light in a single-mode dispersive χ^{(2)} medium,” Phys. Rev. A 54, 4396–4407 (1996).

[CrossRef]
[PubMed]

A. V. Buryak, Yu. S. Kivshar, and V. V. Steblina, “Self-trapping of light beams and parametric solitons in diffractive quadratic media,” Phys. Rev. A 52, 1670–1674 (1996).

[CrossRef]

A. G. Kalocsai and J. W. Haus, “Asymptotic wave-wave processes beyond cascading in quadratic nonlinear optical materials,” Phys. Rev. E 52, 3166–3183 (1995).

[CrossRef]

R. Schiek, Y. Baek, and G. I. Stegeman, “One-dimensional spatial solitary waves due to cascaded second-order nonlinearities in planar waveguides,” Phys. Rev. E 53, 1138–1141 (1996).

[CrossRef]

X. Liu, K. Beckwitt, and F. W. Wise, “Noncollinear generation of optical spatiotemporal solitons and application to ultrafast logic,” Phys. Rev. E 61, R4722–R4725 (2000).

[CrossRef]

D. V. Petrov and L. Torner, “Observation of topological charge pair nucleation in parametric wave mixing,” Phys. Rev. E 84, 7903–7907 (1998).

[CrossRef]

P. Di Trapani, W. Chinaglia, S. Minardi, A. Piskarskas, and G. Valiulis, “Observation of quadratic optical vortex solitons,” Phys. Rev. Lett. 84, 3843–3846 (2000).

[CrossRef]
[PubMed]

M. Vaupel, A. Maitre, and C. Fabre, “Observation of pattern formation in optical parametric oscillators,” Phys. Rev. Lett. 83, 5278–5281 (1999).

[CrossRef]

D. E. Pelinovsky, A. V. Buryak, and Yu. S. Kivshar, “Instability of solitons governed by quadratic nonlinearity,” Phys. Rev. Lett. 75, 591–594 (1995).

[CrossRef]
[PubMed]

A. V. Buryak, Yu. S. Kivshar, and S. Trillo, “Stability of three-wave parametric solitons in diffractive media,” Phys. Rev. Lett. 77, 5210–5213 (1996).

[CrossRef]
[PubMed]

T. Wulle and S. Herminghaus, “Nonlinear optics of Bessel beams,” Phys. Rev. Lett. 70, 1401–1404 (1993).

[CrossRef]
[PubMed]

P. Di Trapani, A. Berzanskis, S. Minardi, S. Sapone, and W. Chinaglia, “Observation of optical vortices and J_{0} Bessel-like beams in quantum-noise parametric amplification,” Phys. Rev. Lett. 81, 5133–5136 (1998).

[CrossRef]

A. V. Buryak and Yu. S. Kivshar, “Multistability of three-wave parametric self-trapping,” Phys. Rev. Lett. 78, 3286–3289 (1997).

[CrossRef]

W. J. Firth and D. V. Skryabin, “Optical solitons carrying orbital angular momentum,” Phys. Rev. Lett. 79, 2450–2453 (1997).

[CrossRef]

M. Segev, B. Crosignani, A. Yariv, and B. Fisher, “Spatial solitons in photorefractive media,” Phys. Rev. Lett. 68, 923–926 (1992).

[CrossRef]
[PubMed]

M. Segev, G. C. Valley, B. Crosignani, P. Di Porto, and A. Yariv, “Steady-state spatial screening solitons in photorefractive materials with external applied fields,” Phys. Rev. Lett. 73, 3211–3214 (1994).

[CrossRef]
[PubMed]

R. Y. Chiao, E. Garmire, and C. H. Townes, “Self-trapping of optical beams,” Phys. Rev. Lett. 13, 479–482 (1964).

[CrossRef]

W. E. Torruellas, Z. Wang, D. J. Hagan, E. W. VanStryland, G. I. Stegeman, L. Torner, and C. R. Menyuk, “Observation of two-dimensional spatial solitary waves in a quadratic medium,” Phys. Rev. Lett. 74, 5036–5039 (1995).

[CrossRef]
[PubMed]

R. A. Fuerst, D. M. Baboiu, B. Lawrence, W. E. Torruellas, G. I. Stegeman, S. Trillo, and S. Wabnitz, “Spatial modulational instability and multisoliton-like generation in a quadratically nonlinear optical medium,” Phys. Rev. Lett. 78, 2756–2759 (1997).

[CrossRef]

R. Schiek, H. Fang, R. Malendevich, and G. I. Stegeman, “Measurement of modulational instability gain of second-order nonlinear optical eigenmodes in a one-dimensional system,” Phys. Rev. Lett. 86, 4528–4531 (2001).

[CrossRef]
[PubMed]

P. Di Trapani, D. Caironi, G. Valiulis, A. Dubietis, R. Danielius, and A. Piskarskas, “Observation of temporal solitons in second-harmonic generation with tilted pulses,” Phys. Rev. Lett. 81, 570–573 (1998).

[CrossRef]

X. Liu, L. J. Qian, and F. W. Wise, “Generation of optical spatiotemporal solitons,” Phys. Rev. Lett. 82, 4631–4634 (1999).

[CrossRef]

P. Di Trapani, G. Valiulis, W. Chinaglia, and A. Andreoni, “Two-dimensional spatial solitary waves from traveling-wave parametric amplification of the quantum noise,” Phys. Rev. Lett. 80, 265–268 (1998).

[CrossRef]

C. B. Clausen, O. Bang, and Y. S. Kivshar, “Spatial solitons and induced Kerr effects in quasi-phase-matched quadratic media,” Phys. Rev. Lett. 78, 4749–4752 (1997).

[CrossRef]

P. Di Trapani, A. Bramati, S. Minardi, W. Chinaglia, S. Trillo, C. Conti, J. Kilius, and G. Valiulis, “Focusing versus defocusing nonlinearities in self-trapping due to parametric frequency conversion,” Phys. Rev. Lett. 87, 183902 (2001).

[CrossRef]

Ch. Bosshard, R. Speiter, M. Zgonick, and P. Günter, “Kerr nonlinearity via cascaded optical rectification and the linear electro-optics effect,” Phys. Rev. Lett. 74, 2816–2819 (1995).

[CrossRef]
[PubMed]

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A. C. Newell and J. V. Moloney, Nonlinear Optics (Addison-Wesley, Redwood City, Calif., 1992).

M. T. G. Canva, R. A. Fuerst, D. Baboiu, G. I. Stegeman, and G. Assanto, “Quadratic spatial soliton generation by seeded downconversion of a strong harmonic pump beam,” Opt. Lett. 22, 1683–1685 (1997); errata, 26, 105 (2001).

[CrossRef]

C. Etrich, F. Lederer, B. A. Malomed, T. Peschel, and U. Peschel, “Optical solitons in media with a quadratic nonlinearity,” in Progress in Optics, E. Wolf, ed. (Pergamon, London, 2000).

S. Trillo and W. E. Torruellas, eds., Spatial Solitons (Springer-Verlag, Berlin, 2001).