F. Baronio, A. Degasperis, M. Conforti, and S. Wabnitz, Solutions of the Vector Nonlinear Schrödinger Equations: Evidence for Deterministic Rogue Waves, Phys. Rev. Lett, vol.109, p.44102, 2012.

M. Onorato, A. R. Osborne, and M. Serio, Modulational Instability in Crossing Sea States: A Possible Mechanism for the Formation of Freak Waves, Phys. Rev. Lett, vol.96, p.14503, 2006.

Y. V. Bludov, V. V. Konotop, and N. Akhmediev, Vector rogue waves in binary mixtures of Bose-Einstein condensates, Eur. Phys. J: Spec. Top, vol.185, p.169, 2010.

V. G. Ivancevic, Adaptive-wave alternative for the Black-Scholes option pricing model, Cognit. Comput, vol.2, p.17, 2010.

S. V. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Sov. Phys. J. Exp. Theor. Phys, vol.65, p.248, 1973.

Y. S. Kivshar and G. P. , Optical Solitons: From Fibers to Photonic Crystals, 2003.

P. G. Kevrekidis, D. J. Frantzeskakis, and R. Carretero-gonzalez, Emergent Nonlinear Phenomena in Bose-Einstein Condensates, 2008.

M. Winter, C. Bunge, D. Setti, and K. Petermann, A statistical treatment of cross-polarization modulation in DWDM systems, J. Lightwave Technol, vol.27, p.3739, 2009.

S. G. Evangelides, L. F. Mollenauer, J. P. Gordon, and N. S. Bergano, Polarization multiplexing with solitons, J. Lightwave Technol, vol.10, p.28, 1992.

F. Yaman and G. Li, Nonlinear impairment compensation for polarization-division multiplexed WDM transmission using digital backward propagation, IEEE Photonics J, vol.1, p.144, 2009.

S. Mumtaz, R. Essiambre, and G. P. , Nonlinear propagation in multimode and multicore fibers: generalization of the Manakov equations, J. Lightwave Technol, vol.31, p.398, 2013.

, This is not a necessary condition, as another condition exists which leads to integrability of the coupled NLSEs, To the integrability of the system of two coupled nonlinear Schrödinger equations, vol.4, p.270, 1982.

G. P. , Nonlinear Fiber Optics, 2013.

P. K. Wai and C. R. Menyuk, Polarization mode dispersion, decorrelation, and diffusion in optical fibers with randomly varying birefringence, J. Lightwave Technol, vol.14, p.148, 1996.

D. Marcuse, C. R. Menyuk, and P. K. Wai, Application of the Manakov-PMD equation to studies of signal propagation in optical fibers with randomly varying birefringence, J. Lightwave Technol, vol.15, p.1735, 1997.

J. U. Kang, G. I. Stegeman, J. S. Aitchison, and N. Akhmediev, Observation of Manakov Spatial Solitons in AlGaAs Planar Waveguides, Phys. Rev. Lett, vol.76, p.3699, 1996.

P. L. Christiansen, J. C. Eilbeck, V. Z. Enolskii, and N. A. Kostov, Quasi-periodic and periodic solutions for coupled nonlinear Schrodinger equations of Manakov type, Proc. R. Soc. London, Ser. A, vol.456, p.2263, 2000.

M. G. Forest, D. W. Mclaughlin, D. J. Muraki, and O. C. Wright, Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger pdes, J. Nonlinear Sci, vol.10, p.291, 2000.

O. C. Wright and I. , On elliptic solutions of a coupled nonlinear Schrödinger system, Physica D, vol.264, p.1, 2013.

A. M. Kamchatnov, Periodic waves in a two-component Bose-Einstein condensate, JETP, vol.118, p.630, 2014.

Z. Chen, M. Segev, T. H. Coskun, D. N. Christodoulides, and Y. S. Kivshar, Coupled photorefractive spatial-soliton pairs, J. Opt. Soc. Am. B, vol.14, p.3066, 1997.

C. Hamner, J. J. Chang, P. Engels, and M. A. Hoefer, Generation of Dark-Bright Soliton Trains in Superfluid-Superfluid Counterflow, Phys. Rev. Lett, vol.106, p.65302, 2011.

M. A. Hoefer, J. J. Chang, C. Hamner, and P. Engels, Dark-dark solitons and modulational instability in miscible two-component Bose-Einstein condensates, Phys. Rev. A, vol.84, p.41605, 2011.

L. Beygi, E. Agrell, J. M. Kahn, and M. Karlsson, Coded modulation for fiber-optic networks: Toward better tradeoff between signal processing complexity and optical transparent reach, IEEE Signal Process. Mag, vol.31, p.93, 2014.

J. Fatome, I. El-mansouri, J. L. Blanchet, S. Pitois, G. Millot et al., Even harmonic pulse train generation by cross-polarization-modulation seeded instability in optical fibers, J. Opt. Soc. Am. B, vol.30, p.99, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00780991

J. Roske, Some nonlinear multiphase reactions, Stud. Appl. Math, vol.55, p.231, 1976.

C. K. Law, C. M. Chan, P. T. Leung, and M. Chu, Critical velocity in a binary mixture of moving Bose condensates, Phys. Rev. A, vol.63, p.63612, 2001.

F. Baronio, M. Conforti, A. Degasperis, S. Lombardo, M. Onorato et al., Vector Rogue Waves and Baseband Modulation Instability in the Defocusing Regime, Phys. Rev. Lett, vol.113, p.34101, 2014.

F. Baronio, S. Chen, P. Grelu, S. Wabnitz, and M. Conforti, Baseband modulation instability as the origin of rogue waves, Phys. Rev. A, vol.91, p.33804, 2015.
URL : https://hal.archives-ouvertes.fr/hal-02389169

V. I. Bespalov and V. I. Talanov, Filamentary structures of light beams in nonlinear liquids, J. Exp. Theor. Phys. Lett, vol.3, p.307, 1966.

T. B. Benjamin and J. E. Feir, The designation of wavetrains on deep water, Part 1, Theory, J. Fluid. Mech, vol.27, p.417, 1967.

K. Tai, A. Hasegawa, and A. Tomita, Observation of Modulational Instability in Optical Fibers, Phys. Rev. Lett, vol.56, p.135, 1986.

A. L. Berkhoer and V. E. Zakharov, Self excitation of waves with different polarizations in nonlinear media, Sov. Phys. J. Exp. Theor. Phys, vol.58, p.486, 1970.

J. E. Rothenberg, Modulational instability for normal dispersion, Phys. Rev. A, vol.42, p.682, 1990.

P. D. Drummond, T. A. Kennedy, J. M. Dudley, R. Leonhardt, and J. D. Harvey, Cross-phase modulational instability in high-birefringence fibers, Opt. Commun, vol.78, p.137, 1990.

E. Seve, P. Dinda, G. Millot, M. Remoissenet, J. M. Bilbault et al., Modulational instability and critical regime in a highly birefringent fiber, Phys. Rev. A, vol.54, p.3519, 1996.

G. P. , Modulation Instability Induced by Cross-Phase Modulation, Phys. Rev. Lett, vol.59, p.880, 1987.

J. E. Rothenberg, Modulational Instability of Copropagating Frequencies for Normal Dispersion, Phys. Rev. Lett, vol.64, p.813, 1990.

G. P. , Agrawal Replies on the Comment of J. E. Rothenberg, vol.64, p.814, 1990.

M. Yu, C. J. Mckinstrie, and G. P. , Instability due to cross-phase modulation in the normal-dispersion regime, Phys. Rev. E, vol.48, p.2178, 1993.

Y. Frignac, G. Charlet, W. Idler, R. Dischler, P. Tran et al.,

. Bigo, Transmission of 256 wavelength-division and polarization division-multiplexed channels at 42.7 Gb/s (10.2 Tb/s capacity) over 3 × 100 km of TeraLight TM fiber, Proceedings of Optical Fiber Communication Conference and Exhibit, pp.5-6, 2002.

A. H. Gnauck, G. Charlet, P. Tran, P. J. Winzer, C. R. Doerr et al., 6-Tb/s WDM transmission of polarizationmultiplexed RZ-DQPSK signals, J. Lightwave Technol, vol.25, p.79, 2008.

X. Liu, F. Buchali, and R. W. Tkach, Improving the nonlinear tolerance of polarization-division-multiplexed CO-OFDM in long-haul fiber transmission, J. Lightwave Technol, vol.27, p.3632, 2009.

E. F. Mateo, X. Zhou, and G. Li, Selective post-compensation of nonlinear impairments in polarization-division multiplexed WDM systems with different channel granularities, IEEE J. Quantum Electron, vol.47, p.109, 2011.

A. Hasegawa, Generation of a train of soliton pulses by induced modulational instability in optical fibers, Opt. Lett, vol.9, p.288, 1984.

P. V. Mamyshev, S. V. Chernikov, and E. M. Dianov, Generation of fundamental soliton trains for high-bit-rate optical fiber communication lines, IEEE J. Quantum Electron, vol.27, p.2347, 1991.

J. M. Dudley, G. Genty, and S. Coen, Supercontinuum generation in photonic crystal fiber, Rev. Mod. Phys, vol.78, p.1135, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00268071

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Optical rogue waves, Nature, vol.450, p.1054, 2007.

B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias et al., The Peregrine soliton in nonlinear fibre optics, Nat. Phys, vol.6, p.790, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00510987

A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, Rogue Wave Observation in a Water Wave Tank, Phys. Rev. Lett, vol.106, p.204502, 2011.