C. Mahnke and F. Mitschke, “Possibility of an Akhmediev breather decaying into solitons,” Phys. Rev. A 85, 033808 (2012).

[CrossRef]

M. Erkintalo, G. Genty, B. Wetzel, and J. M. Dudley, “Akhmediev breather evolution in optical fiber for realistic initial conditions,” Phys. Lett. A 375, 2029–2034 (2011).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

M. Droques, B. Barviau, A. Kudlinski, M. Taki, A. Boucon, T. Sylvestre, and A. Mussot, “Symmetry-breaking dynamics of the modulational instability spectrum,” Opt. Lett. 36, 1359–1361 (2011).

[CrossRef]

A. V. Gorbach, X. Zhao, and D. V. Skryabin, “Dispersion of nonlinearity and modulation instability in sub-wavelength semiconductor waveguides,” Opt. Express 19, 9345–9351 (2011).

[CrossRef]

N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and J. M. Dudley, “Universal triangular spectra in parametrically-driven systems,” Phys. Lett. 375, 775–779 (2011).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Could rogue waves be used as efficient weapons against enemy ships?,” Eur. J. Phys. Special Topics 185, 259–266 (2010).

[CrossRef]

S. Wabnitz and N. Akhmediev, “Efficient modulation frequency doubling by induced modulation instability,” Opt. Commun. 283, 1152–1154 (2010).

[CrossRef]

K. Porsezian, K. Senthilnathan, and S. Devipriya, “Modulation instability in Fiber Bragg grating with non-Kerr nonlinearity,” IEEE J. Quantum Electron. 41, 789–796 (2005).

[CrossRef]

G. Van Simaeys, P. Emplit, and M. Haelterman, “Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave,” Phys. Rev. Lett. 87, 033902 (2001).

[CrossRef]

N. Akhmediev, “Deja vu in optics,” Nature 413, 267–268 (2001).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibres,” Phys. Rev. 51, 2602–2607 (1995).

[CrossRef]

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, and A. Gouveia-Neto, “Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation,” Phys. Rev. A 43, 6162–6165 (1991).

[CrossRef]

N. N. Akhmediev, V. I. Korneev, and N. V. Mitskevich, “Modulation instability of a continuous signal in an optical fibre taking into account third order dispersion,” Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika 33, 111–117, (1990).

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wavetrains on deep water. Part 1: theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

V. I. Bespalov and V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett. 3, 307–310, (1966).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, 1972).

G. P. Agrawal, “Modulation instability induced by cross-phase modulation,” Phys. Rev. Lett. 59, 880–883 (1987).

[CrossRef]

N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and J. M. Dudley, “Universal triangular spectra in parametrically-driven systems,” Phys. Lett. 375, 775–779 (2011).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

S. Wabnitz and N. Akhmediev, “Efficient modulation frequency doubling by induced modulation instability,” Opt. Commun. 283, 1152–1154 (2010).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Could rogue waves be used as efficient weapons against enemy ships?,” Eur. J. Phys. Special Topics 185, 259–266 (2010).

[CrossRef]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).

[CrossRef]

N. Akhmediev, “Deja vu in optics,” Nature 413, 267–268 (2001).

[CrossRef]

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibres,” Phys. Rev. 51, 2602–2607 (1995).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).

N. N. Akhmediev, V. I. Korneev, and N. V. Mitskevich, “Modulation instability of a continuous signal in an optical fibre taking into account third order dispersion,” Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika 33, 111–117, (1990).

N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and J. M. Dudley, “Universal triangular spectra in parametrically-driven systems,” Phys. Lett. 375, 775–779 (2011).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Could rogue waves be used as efficient weapons against enemy ships?,” Eur. J. Phys. Special Topics 185, 259–266 (2010).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wavetrains on deep water. Part 1: theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

V. I. Bespalov and V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett. 3, 307–310, (1966).

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, and A. Gouveia-Neto, “Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation,” Phys. Rev. A 43, 6162–6165 (1991).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, and A. Gouveia-Neto, “Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation,” Phys. Rev. A 43, 6162–6165 (1991).

[CrossRef]

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, and A. Gouveia-Neto, “Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation,” Phys. Rev. A 43, 6162–6165 (1991).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

K. Porsezian, K. Senthilnathan, and S. Devipriya, “Modulation instability in Fiber Bragg grating with non-Kerr nonlinearity,” IEEE J. Quantum Electron. 41, 789–796 (2005).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and J. M. Dudley, “Universal triangular spectra in parametrically-driven systems,” Phys. Lett. 375, 775–779 (2011).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

M. Erkintalo, G. Genty, B. Wetzel, and J. M. Dudley, “Akhmediev breather evolution in optical fiber for realistic initial conditions,” Phys. Lett. A 375, 2029–2034 (2011).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).

[CrossRef]

G. Van Simaeys, P. Emplit, and M. Haelterman, “Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave,” Phys. Rev. Lett. 87, 033902 (2001).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

M. Erkintalo, G. Genty, B. Wetzel, and J. M. Dudley, “Akhmediev breather evolution in optical fiber for realistic initial conditions,” Phys. Lett. A 375, 2029–2034 (2011).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

T. B. Benjamin and J. E. Feir, “The disintegration of wavetrains on deep water. Part 1: theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

M. Erkintalo, G. Genty, B. Wetzel, and J. M. Dudley, “Akhmediev breather evolution in optical fiber for realistic initial conditions,” Phys. Lett. A 375, 2029–2034 (2011).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).

[CrossRef]

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, and A. Gouveia-Neto, “Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation,” Phys. Rev. A 43, 6162–6165 (1991).

[CrossRef]

G. Van Simaeys, P. Emplit, and M. Haelterman, “Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave,” Phys. Rev. Lett. 87, 033902 (2001).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibres,” Phys. Rev. 51, 2602–2607 (1995).

[CrossRef]

K. Kasamatsu and M. Tsubota, “Modulation instability and solitary-wave formation in two-component Bose-Einstein condensates,” Phys. Rev. A 74, 013617 (2006).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

N. N. Akhmediev, V. I. Korneev, and N. V. Mitskevich, “Modulation instability of a continuous signal in an optical fibre taking into account third order dispersion,” Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika 33, 111–117, (1990).

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

M. Droques, B. Barviau, A. Kudlinski, M. Taki, A. Boucon, T. Sylvestre, and A. Mussot, “Symmetry-breaking dynamics of the modulational instability spectrum,” Opt. Lett. 36, 1359–1361 (2011).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

C. Mahnke and F. Mitschke, “Possibility of an Akhmediev breather decaying into solitons,” Phys. Rev. A 85, 033808 (2012).

[CrossRef]

C. Mahnke and F. Mitschke, “Possibility of an Akhmediev breather decaying into solitons,” Phys. Rev. A 85, 033808 (2012).

[CrossRef]

N. N. Akhmediev, V. I. Korneev, and N. V. Mitskevich, “Modulation instability of a continuous signal in an optical fibre taking into account third order dispersion,” Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika 33, 111–117, (1990).

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

M. Droques, B. Barviau, A. Kudlinski, M. Taki, A. Boucon, T. Sylvestre, and A. Mussot, “Symmetry-breaking dynamics of the modulational instability spectrum,” Opt. Lett. 36, 1359–1361 (2011).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

K. Porsezian, K. Senthilnathan, and S. Devipriya, “Modulation instability in Fiber Bragg grating with non-Kerr nonlinearity,” IEEE J. Quantum Electron. 41, 789–796 (2005).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

K. Porsezian, K. Senthilnathan, and S. Devipriya, “Modulation instability in Fiber Bragg grating with non-Kerr nonlinearity,” IEEE J. Quantum Electron. 41, 789–796 (2005).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and J. M. Dudley, “Universal triangular spectra in parametrically-driven systems,” Phys. Lett. 375, 775–779 (2011).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Could rogue waves be used as efficient weapons against enemy ships?,” Eur. J. Phys. Special Topics 185, 259–266 (2010).

[CrossRef]

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, 1972).

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

M. Droques, B. Barviau, A. Kudlinski, M. Taki, A. Boucon, T. Sylvestre, and A. Mussot, “Symmetry-breaking dynamics of the modulational instability spectrum,” Opt. Lett. 36, 1359–1361 (2011).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

V. I. Bespalov and V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett. 3, 307–310, (1966).

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

K. Kasamatsu and M. Tsubota, “Modulation instability and solitary-wave formation in two-component Bose-Einstein condensates,” Phys. Rev. A 74, 013617 (2006).

[CrossRef]

G. Van Simaeys, P. Emplit, and M. Haelterman, “Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave,” Phys. Rev. Lett. 87, 033902 (2001).

[CrossRef]

S. Wabnitz and N. Akhmediev, “Efficient modulation frequency doubling by induced modulation instability,” Opt. Commun. 283, 1152–1154 (2010).

[CrossRef]

M. Erkintalo, G. Genty, B. Wetzel, and J. M. Dudley, “Akhmediev breather evolution in optical fiber for realistic initial conditions,” Phys. Lett. A 375, 2029–2034 (2011).

[CrossRef]

N. Akhmediev, J. M. Soto-Crespo, and A. Ankiewicz, “Could rogue waves be used as efficient weapons against enemy ships?,” Eur. J. Phys. Special Topics 185, 259–266 (2010).

[CrossRef]

K. Porsezian, K. Senthilnathan, and S. Devipriya, “Modulation instability in Fiber Bragg grating with non-Kerr nonlinearity,” IEEE J. Quantum Electron. 41, 789–796 (2005).

[CrossRef]

N. N. Akhmediev, V. I. Korneev, and N. V. Mitskevich, “Modulation instability of a continuous signal in an optical fibre taking into account third order dispersion,” Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika 33, 111–117, (1990).

T. B. Benjamin and J. E. Feir, “The disintegration of wavetrains on deep water. Part 1: theory,” J. Fluid Mech. 27, 417–430 (1967).

[CrossRef]

V. I. Bespalov and V. I. Talanov, “Filamentary structure of light beams in nonlinear liquids,” JETP Lett. 3, 307–310, (1966).

N. Akhmediev, “Deja vu in optics,” Nature 413, 267–268 (2001).

[CrossRef]

S. Wabnitz and N. Akhmediev, “Efficient modulation frequency doubling by induced modulation instability,” Opt. Commun. 283, 1152–1154 (2010).

[CrossRef]

A. V. Gorbach, X. Zhao, and D. V. Skryabin, “Dispersion of nonlinearity and modulation instability in sub-wavelength semiconductor waveguides,” Opt. Express 19, 9345–9351 (2011).

[CrossRef]

J. M. Dudley, G. Genty, F. Dias, B. Kibler, and N. Akhmediev, “Modulation instability, Akhmediev breathers and continuous wave supercontinuum generation,” Opt. Express 17, 21497–21508 (2009).

[CrossRef]

M. Droques, B. Barviau, A. Kudlinski, M. Taki, A. Boucon, T. Sylvestre, and A. Mussot, “Symmetry-breaking dynamics of the modulational instability spectrum,” Opt. Lett. 36, 1359–1361 (2011).

[CrossRef]

N. C. Panoiu, X. F. Chen, and R. M. Osgood, “Modulation instability in silicon photonic nanowiresa,” Opt. Lett. 31, 3609–3611 (2006).

[CrossRef]

M. J. Potasek, “Modulation instability in an extended nonlinear Schrödinger equation,” Opt. Lett. 12, 921–923 (1987).

[CrossRef]

N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, and J. M. Dudley, “Universal triangular spectra in parametrically-driven systems,” Phys. Lett. 375, 775–779 (2011).

[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, “Third-order dispersion for generating optical rogue solitons,” Phys. Lett. A 374, 691–695 (2010).

[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, “Collisions and turbulence in optical rogue wave formation,” Phys. Lett. A 374, 989–996 (2010).

[CrossRef]

M. Erkintalo, G. Genty, B. Wetzel, and J. M. Dudley, “Akhmediev breather evolution in optical fiber for realistic initial conditions,” Phys. Lett. A 375, 2029–2034 (2011).

[CrossRef]

N. Devine, A. Ankiewicz, G. Genty, J. M. Dudley, and N. Akhmediev, “Recurrence phase shift in Fermi-Pasta-Ulam nonlinear dynamics,” Phys. Lett. A 375, 4158–4161 (2011).

[CrossRef]

N. Akhmediev and M. Karlsson, “Cherenkov radiation emitted by solitons in optical fibres,” Phys. Rev. 51, 2602–2607 (1995).

[CrossRef]

M. I. Kolobov, A. Mussot, A. Kudlinski, E. Louvergneaux, and M. Taki, “Third-order dispersion drastically changes parametric gain in optical fiber systems,” Phys. Rev. A 83, 035801 (2011).

[CrossRef]

K. Kasamatsu and M. Tsubota, “Modulation instability and solitary-wave formation in two-component Bose-Einstein condensates,” Phys. Rev. A 74, 013617 (2006).

[CrossRef]

S. B. Cavalcanti, J. C. Cressoni, H. R. da Cruz, and A. Gouveia-Neto, “Modulation instability in the region of minimum group-velocity dispersion of single-mode optical fibers via an extended nonlinear Schrödinger equation,” Phys. Rev. A 43, 6162–6165 (1991).

[CrossRef]

C. Mahnke and F. Mitschke, “Possibility of an Akhmediev breather decaying into solitons,” Phys. Rev. A 85, 033808 (2012).

[CrossRef]

K. Tai, A. Hasegawa, and A. Tomita, “Observation of modulational instability in optical fibers,” Phys. Rev. Lett. 56, 135–138 (1986).

[CrossRef]

M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, and G. Genty, “Higher-order modulation instability in nonlinear fiber optics,” Phys. Rev. Lett. 107, 253901(2011).

[CrossRef]

G. Van Simaeys, P. Emplit, and M. Haelterman, “Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave,” Phys. Rev. Lett. 87, 033902 (2001).

[CrossRef]

G. P. Agrawal, “Modulation instability induced by cross-phase modulation,” Phys. Rev. Lett. 59, 880–883 (1987).

[CrossRef]

D. Kip, Marin Soljacic, M. Segev, E. Eugenieva, and D. N. Christodoulides, “Modulation instability and pattern formation in spatially incoherent light beams,” Science 290, 495–498 (2000).

[CrossRef]

N. Akhmediev and A. Ankiewicz, Solitons: Nonlinear Pulses and Beams (Chapman & Hall, 1997).

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables (Dover, 1972).