J. C. Martinez, "Dynamics of frequency conversion of an optical pulse in a microcavity," Phys. Rev. A 71, 015801 (2005).

[CrossRef]

F. Laussy, G. Malpuech, A. Kavokin, and P. Bigenwald, "Spontaneous coherence buildup in a polariton laser," Phys. Rev. Lett. 93, 016402 (2004).

[CrossRef]

R. Y. Chiao, T. H. Hansson, J. M. Leinaas, and S. Viefers, "Effective photon-photon interaction in a two-dimensional photon fluid," Phys. Rev. A 69, 063816 (2004).

[CrossRef]

R. Kanamoto, H. Saito, and M. Ueda, "Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interaction," Phys. Rev. A 67, 013608 (2003).

[CrossRef]

P. Navez, "Frequency down-conversion through Bose condensation of light," Phys. Rev. A 68, 013811 (2003).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, "Regimes of quantum degeneracy in trapped 1D gases," Phys. Rev. Lett. 85, 3745-3749 (2000).

[CrossRef]
[PubMed]

M. W. Mitchel, C. I. Hancox, and R. Y. Chiao, "Dynamics of atom-mediated photon-photon scattering," Phys. Rev. A 62, 043819 (2000).

[CrossRef]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity," Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. II. Case of attractive nonlinearity," Phys. Rev. A 62, 063611 (2000).

[CrossRef]

R. Y. Chiao and J. Boyce, "Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid," Phys. Rev. A 60, 4114-4121 (1999).

[CrossRef]

J. Boyce and R. Chiao, "Transverse oscillation arising from spatial soliton formation in nonlinear optical cavities," Phys. Rev. A 59, 3953-3958 (1999).

[CrossRef]

Y. Lai and H. A. Haus, "Quantum theory of solitons in optical fibers. I. Time-dependent Hartree approximation," Phys. Rev. A 40, 844-853 (1989).

[CrossRef]
[PubMed]

L. A. Lugiato and R. Lefever, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

M. Wadati and M. Sakagami, "Classical soliton as the limit of the quantum field theory," J. Phys. Soc. Jpn. 53, 1933-1938 (1984).

[CrossRef]

C. Nohl, "Semiclassical quantization of the nonlinear Schrodinger equation," Ann. Phys. (N.Y.) 96, 234-260 (1976).

[CrossRef]

R. F. Dashen, B. Hasslacher, and A. Neveu, "Nonperturbative methods and extended-hadron models in field theory. I. Semiclassical functional methods," Phys. Rev. D 10, 4114-4129 (1974).

[CrossRef]

J. B. McGuire, "Study of exactly soluble one-dimensional N-body problems," J. Math. Phys. 5, 622-636 (1964).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003), pp. 31-46.

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

F. Laussy, G. Malpuech, A. Kavokin, and P. Bigenwald, "Spontaneous coherence buildup in a polariton laser," Phys. Rev. Lett. 93, 016402 (2004).

[CrossRef]

R. Y. Chiao and J. Boyce, "Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid," Phys. Rev. A 60, 4114-4121 (1999).

[CrossRef]

J. Boyce and R. Chiao, "Transverse oscillation arising from spatial soliton formation in nonlinear optical cavities," Phys. Rev. A 59, 3953-3958 (1999).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity," Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. II. Case of attractive nonlinearity," Phys. Rev. A 62, 063611 (2000).

[CrossRef]

J. Boyce and R. Chiao, "Transverse oscillation arising from spatial soliton formation in nonlinear optical cavities," Phys. Rev. A 59, 3953-3958 (1999).

[CrossRef]

R. Y. Chiao, T. H. Hansson, J. M. Leinaas, and S. Viefers, "Effective photon-photon interaction in a two-dimensional photon fluid," Phys. Rev. A 69, 063816 (2004).

[CrossRef]

M. W. Mitchel, C. I. Hancox, and R. Y. Chiao, "Dynamics of atom-mediated photon-photon scattering," Phys. Rev. A 62, 043819 (2000).

[CrossRef]

R. Y. Chiao and J. Boyce, "Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid," Phys. Rev. A 60, 4114-4121 (1999).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. II. Case of attractive nonlinearity," Phys. Rev. A 62, 063611 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity," Phys. Rev. A 62, 063610 (2000).

[CrossRef]

R. F. Dashen, B. Hasslacher, and A. Neveu, "Nonperturbative methods and extended-hadron models in field theory. I. Semiclassical functional methods," Phys. Rev. D 10, 4114-4129 (1974).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

M. W. Mitchel, C. I. Hancox, and R. Y. Chiao, "Dynamics of atom-mediated photon-photon scattering," Phys. Rev. A 62, 043819 (2000).

[CrossRef]

R. Y. Chiao, T. H. Hansson, J. M. Leinaas, and S. Viefers, "Effective photon-photon interaction in a two-dimensional photon fluid," Phys. Rev. A 69, 063816 (2004).

[CrossRef]

A. Hasegawa, Optical Solitons in Fibers, Vol. 116 of Springer Tracts in Modern Physics (Springer, 1989), pp. 13-30.

[CrossRef]

R. F. Dashen, B. Hasslacher, and A. Neveu, "Nonperturbative methods and extended-hadron models in field theory. I. Semiclassical functional methods," Phys. Rev. D 10, 4114-4129 (1974).

[CrossRef]

Y. Lai and H. A. Haus, "Quantum theory of solitons in optical fibers. I. Time-dependent Hartree approximation," Phys. Rev. A 40, 844-853 (1989).

[CrossRef]
[PubMed]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

R. Kanamoto, H. Saito, and M. Ueda, "Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interaction," Phys. Rev. A 67, 013608 (2003).

[CrossRef]

F. Laussy, G. Malpuech, A. Kavokin, and P. Bigenwald, "Spontaneous coherence buildup in a polariton laser," Phys. Rev. Lett. 93, 016402 (2004).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003), pp. 31-46.

Y. Lai and H. A. Haus, "Quantum theory of solitons in optical fibers. I. Time-dependent Hartree approximation," Phys. Rev. A 40, 844-853 (1989).

[CrossRef]
[PubMed]

F. Laussy, G. Malpuech, A. Kavokin, and P. Bigenwald, "Spontaneous coherence buildup in a polariton laser," Phys. Rev. Lett. 93, 016402 (2004).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

L. A. Lugiato and R. Lefever, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

R. Y. Chiao, T. H. Hansson, J. M. Leinaas, and S. Viefers, "Effective photon-photon interaction in a two-dimensional photon fluid," Phys. Rev. A 69, 063816 (2004).

[CrossRef]

L. A. Lugiato and R. Lefever, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

F. Laussy, G. Malpuech, A. Kavokin, and P. Bigenwald, "Spontaneous coherence buildup in a polariton laser," Phys. Rev. Lett. 93, 016402 (2004).

[CrossRef]

J. C. Martinez, "Dynamics of frequency conversion of an optical pulse in a microcavity," Phys. Rev. A 71, 015801 (2005).

[CrossRef]

J. B. McGuire, "Study of exactly soluble one-dimensional N-body problems," J. Math. Phys. 5, 622-636 (1964).

[CrossRef]

L. M. Milne-Thomson, "Jacobian elliptic functions and theta functions," in Handbook of Mathematical Functions, M.Abramowitz and I.A.Stegun, eds. (National Bureau of Standards, 1964), pp. 569-588.

M. W. Mitchel, C. I. Hancox, and R. Y. Chiao, "Dynamics of atom-mediated photon-photon scattering," Phys. Rev. A 62, 043819 (2000).

[CrossRef]

P. Navez, "Frequency down-conversion through Bose condensation of light," Phys. Rev. A 68, 013811 (2003).

[CrossRef]

J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, 1988), pp. 44-46.

R. F. Dashen, B. Hasslacher, and A. Neveu, "Nonperturbative methods and extended-hadron models in field theory. I. Semiclassical functional methods," Phys. Rev. D 10, 4114-4129 (1974).

[CrossRef]

C. Nohl, "Semiclassical quantization of the nonlinear Schrodinger equation," Ann. Phys. (N.Y.) 96, 234-260 (1976).

[CrossRef]

J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, 1988), pp. 44-46.

D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, "Regimes of quantum degeneracy in trapped 1D gases," Phys. Rev. Lett. 85, 3745-3749 (2000).

[CrossRef]
[PubMed]

R. Rajaraman, Solitons and Instantons (North-Holland, 1982), pp. 167-195.

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity," Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. II. Case of attractive nonlinearity," Phys. Rev. A 62, 063611 (2000).

[CrossRef]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

R. Kanamoto, H. Saito, and M. Ueda, "Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interaction," Phys. Rev. A 67, 013608 (2003).

[CrossRef]

M. Wadati and M. Sakagami, "Classical soliton as the limit of the quantum field theory," J. Phys. Soc. Jpn. 53, 1933-1938 (1984).

[CrossRef]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, "Regimes of quantum degeneracy in trapped 1D gases," Phys. Rev. Lett. 85, 3745-3749 (2000).

[CrossRef]
[PubMed]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

R. Kanamoto, H. Saito, and M. Ueda, "Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interaction," Phys. Rev. A 67, 013608 (2003).

[CrossRef]

R. Y. Chiao, T. H. Hansson, J. M. Leinaas, and S. Viefers, "Effective photon-photon interaction in a two-dimensional photon fluid," Phys. Rev. A 69, 063816 (2004).

[CrossRef]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

M. Wadati and M. Sakagami, "Classical soliton as the limit of the quantum field theory," J. Phys. Soc. Jpn. 53, 1933-1938 (1984).

[CrossRef]

D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, "Regimes of quantum degeneracy in trapped 1D gases," Phys. Rev. Lett. 85, 3745-3749 (2000).

[CrossRef]
[PubMed]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

C. Nohl, "Semiclassical quantization of the nonlinear Schrodinger equation," Ann. Phys. (N.Y.) 96, 234-260 (1976).

[CrossRef]

J. B. McGuire, "Study of exactly soluble one-dimensional N-body problems," J. Math. Phys. 5, 622-636 (1964).

[CrossRef]

M. Wadati and M. Sakagami, "Classical soliton as the limit of the quantum field theory," J. Phys. Soc. Jpn. 53, 1933-1938 (1984).

[CrossRef]

Y. Lai and H. A. Haus, "Quantum theory of solitons in optical fibers. I. Time-dependent Hartree approximation," Phys. Rev. A 40, 844-853 (1989).

[CrossRef]
[PubMed]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. I. Case of repulsive nonlinearity," Phys. Rev. A 62, 063610 (2000).

[CrossRef]

L. D. Carr, C. W. Clark, and W. P. Reinhardt, "Stationary solutions of the one-dimensional nonlinear Schrodinger equation. II. Case of attractive nonlinearity," Phys. Rev. A 62, 063611 (2000).

[CrossRef]

R. Kanamoto, H. Saito, and M. Ueda, "Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interaction," Phys. Rev. A 67, 013608 (2003).

[CrossRef]

R. Y. Chiao, T. H. Hansson, J. M. Leinaas, and S. Viefers, "Effective photon-photon interaction in a two-dimensional photon fluid," Phys. Rev. A 69, 063816 (2004).

[CrossRef]

M. W. Mitchel, C. I. Hancox, and R. Y. Chiao, "Dynamics of atom-mediated photon-photon scattering," Phys. Rev. A 62, 043819 (2000).

[CrossRef]

R. Y. Chiao and J. Boyce, "Bogoliubov dispersion relation and the possibility of superfluidity for weakly interacting photons in a two-dimensional photon fluid," Phys. Rev. A 60, 4114-4121 (1999).

[CrossRef]

J. Boyce and R. Chiao, "Transverse oscillation arising from spatial soliton formation in nonlinear optical cavities," Phys. Rev. A 59, 3953-3958 (1999).

[CrossRef]

P. Navez, "Frequency down-conversion through Bose condensation of light," Phys. Rev. A 68, 013811 (2003).

[CrossRef]

J. C. Martinez, "Dynamics of frequency conversion of an optical pulse in a microcavity," Phys. Rev. A 71, 015801 (2005).

[CrossRef]

R. F. Dashen, B. Hasslacher, and A. Neveu, "Nonperturbative methods and extended-hadron models in field theory. I. Semiclassical functional methods," Phys. Rev. D 10, 4114-4129 (1974).

[CrossRef]

L. A. Lugiato and R. Lefever, "Spatial dissipative structures in passive optical systems," Phys. Rev. Lett. 58, 2209-2211 (1987).

[CrossRef]
[PubMed]

F. Laussy, G. Malpuech, A. Kavokin, and P. Bigenwald, "Spontaneous coherence buildup in a polariton laser," Phys. Rev. Lett. 93, 016402 (2004).

[CrossRef]

P. G. Savvidis, J. J. Baumberg, R. M. Stevenson, M. Skolnick, D. M. Whittaker, and J. S. Roberts, "Angle-resonant stimulated polariton amplifier," Phys. Rev. Lett. 84, 1547-1550 (2000).

[CrossRef]
[PubMed]

A. Gorlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, "Realization of Bose-Einstein condensates in lower dimensions," Phys. Rev. Lett. 87, 130402 (2001).

[CrossRef]
[PubMed]

D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, "Regimes of quantum degeneracy in trapped 1D gases," Phys. Rev. Lett. 85, 3745-3749 (2000).

[CrossRef]
[PubMed]

Y. S. Kivshar and G. P. Agrawal, Optical Solitons (Academic, 2003), pp. 31-46.

A. Hasegawa, Optical Solitons in Fibers, Vol. 116 of Springer Tracts in Modern Physics (Springer, 1989), pp. 13-30.

[CrossRef]

L. M. Milne-Thomson, "Jacobian elliptic functions and theta functions," in Handbook of Mathematical Functions, M.Abramowitz and I.A.Stegun, eds. (National Bureau of Standards, 1964), pp. 569-588.

R. Rajaraman, Solitons and Instantons (North-Holland, 1982), pp. 167-195.

J. W. Negele and H. Orland, Quantum Many-Particle Systems (Addison-Wesley, 1988), pp. 44-46.