M. J. Ablowitz, B. Prinari, and A. D. Trubatch, Integrable Nonlinear Schrödinger Systems and their Soliton Dynamics, Dynamics of PDE, vol.1, issue.3, p.239299, 2004.

N. N. Akhmediev, V. M. Eleonskii, and N. E. Kulagin, First-order exact solutions of the nonlinear Schrödinger equation, Teoret. Mat. Fiz, vol.72, issue.2, p.183196809818, 1987.

N. Andonowati, E. Karjanto, and . Van-groesen, Extreme wave phenomena in down-stream running modulated waves, Applied Mathematical Modelling, vol.31, issue.7, p.14251443, 2007.
DOI : 10.1016/j.apm.2006.04.015

D. Anker and N. C. Freeman, On the Soliton Solutions of the Davey-Stewartson Equation for Long Waves, Proc. R. Soc. London, p.529540, 1978.
DOI : 10.1098/rspa.1978.0083

V. A. Arkadiev, A. K. Pogrebkov, and M. C. Polivanov, Inverse scattering transform method and soliton solutions for Davey-Stewartson II equation, Physica D: Nonlinear Phenomena, vol.36, issue.1-2, p.189197, 1989.
DOI : 10.1016/0167-2789(89)90258-3

E. Belokolos, A. Bobenko, V. Enolskii, A. Its, and V. Matveev, Algebro-geometric approach to nonlinear integrable equations, Series in nonlinear dynamics, 1994.

M. Boiti, J. Leon, L. Martina, and F. Pempineili, Scattering of localized solitons in the plane, Physics Letters A, vol.132, issue.8-9, p.432439, 1988.
DOI : 10.1016/0375-9601(88)90508-7

D. Y. Chen, Introduction to Solitons, 2006.

P. Dubard, P. Gaillard, C. Klein, and V. B. Matveev, On multi-rogue wave solutions of the NLS equation and positon solutions of the KdV equation, The European Physical Journal Special Topics, vol.25, issue.1, p.247258, 2010.
DOI : 10.1140/epjst/e2010-01252-9

A. Davey and K. Stewartson, On Three-Dimensional Packets of Surface Waves, Proc. R. Soc. Lond. A 388, p.101110, 1974.
DOI : 10.1098/rspa.1974.0076

V. Eleonskii, I. Krichever, and N. Kulagin, Rational multisoliton solutions to the NLS equation, Soviet Doklady 1986 sect, Math. Phys. V, vol.287, p.606610, 1986.

J. Fay, Theta functions on Riemann surfaces, Lecture Notes in Mathematics, vol.352, 1973.
DOI : 10.1007/BFb0060090

A. S. Fokas and P. M. Santini, Dromions and a boundary value problem for the Davey-Stewartson 1 equation, Physica D: Nonlinear Phenomena, vol.44, issue.1-2, p.99, 1990.
DOI : 10.1016/0167-2789(90)90050-Y

N. C. Freeman, Soliton Solutions of Non-linear Evolution Equations, IMA Journal of Applied Mathematics, vol.32, issue.1-3, p.125, 1984.
DOI : 10.1093/imamat/32.1-3.125

N. C. Freeman and J. J. Nimmo, Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The wronskian technique, Physics Letters A, vol.95, issue.1, p.1, 1983.
DOI : 10.1016/0375-9601(83)90764-8

C. S. Gardner, J. M. Greene, R. Miura, and M. , Korteweg-devries equation and generalizations. VI. methods for exact solution, Method for Solving the Korteweg-de Vries Equation, p.97, 1974.
DOI : 10.1002/cpa.3160270108

K. L. Henderson, D. H. Peregrine, and J. W. Dold, Unsteady water wave modulations: fully nonlinear solutions and comparison with the nonlinear Schr??dinger equation, Wave Motion, vol.29, issue.4, p.341361, 1999.
DOI : 10.1016/S0165-2125(98)00045-6

R. Hirota, Exact Solution of the Korteweg???de Vries Equation for Multiple Collisions of Solitons, Physical Review Letters, vol.27, issue.18, p.1192, 1971.
DOI : 10.1103/PhysRevLett.27.1192

A. R. Its, A. V. Rybin, and M. A. Salle, Exact integration of nonlinear Schrödinger equation, Teore. i Mat. Fiz. V, vol.74, issue.1, p.2945, 1988.

C. Kalla, New Degeneration of Fay's Identity and its Application to Integrable Systems, International Mathematics Research Notices, 2011.
DOI : 10.1093/imrn/rns175

T. Kanna, M. Lakshmanan, P. Tchofo-dinda, and N. Akhmediev, Soliton collisions with shape change by intensity redistribution in mixed coupled nonlinear Schrödinger equations, Phys. Rev. E, vol.73, 2006.

Y. C. Ma, The perturbed plane-wave solutions of the cubic Schrödinger equation, Stud. Appl. Math, vol.60, issue.1, p.4358, 1979.

S. V. Manakov, On the theory of two-dimensional stationary self-focusing of electromagnetic waves, Sov. Phys, JETP, vol.38, p.248, 1974.

S. V. Manakov, V. E. Zakharov, L. A. Bordag, A. R. Its, and V. B. Matveev, Two-dimensional solitons of the Kadomtsev-Petviashvili equation and their interaction, Physics Letters A, vol.63, issue.3, p.205, 1977.
DOI : 10.1016/0375-9601(77)90875-1

Y. Matsuno, Multiperiodic and multisoliton solutions of a nonlocal nonlinear Schr??dinger equation for envelope waves, Physics Letters A, vol.278, issue.1-2, p.53, 2000.
DOI : 10.1016/S0375-9601(00)00757-X

V. B. Matveev and M. A. Salli, Darboux Transformations and Solitons, Springer Series in Nonlinear Dynamics, 1991.

D. Mumford, Tata Lectures on Theta. I and II., Progress in Mathematics, 28 and 43, respectively, 1983.

J. J. Nimmo and N. C. Freeman, The use of Backlund transformations in obtaining N-soliton solutions in Wronskian form, Journal of Physics A: Mathematical and General, vol.17, issue.7, p.1415, 1984.
DOI : 10.1088/0305-4470/17/7/009

S. Novikov, S. Manakov, L. Pitaevskii, and V. Zakharov, Theory of Solitons -The Inverse Scattering Method, 1984.

A. R. Osborne, M. Onorato, and M. Serio, The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains, Physics Letters A, vol.275, issue.5-6, p.386393, 2000.
DOI : 10.1016/S0375-9601(00)00575-2

D. H. Peregrine, Water waves, nonlinear Schrödinger equations and their solutions, J. Austral . Math. Soc. Ser. B, vol.25, issue.1, p.1643, 1983.

A. D. Polyanin and V. F. Zaitsev, Handbook of Nonlinear Partial Dierential Equations, 2004.

R. Radhakrishnan and M. Lakshmanan, Bright and dark soliton solutions to coupled nonlinear Schrödinger equations, J. Phys. A, Math. Gen, vol.28, p.26832692, 1995.

R. Radhakrishnan and M. Lakshmanan, Inelastic collision and switching of coupled bright solitons in optical fibers, Physical Review E, vol.56, issue.2, p.2213, 1997.
DOI : 10.1103/PhysRevE.56.2213

R. Radhakrishnan and M. Lakshmanan, Localized Coherent Structures and Integrability in a Generalized (2 + 1)-Dimensional Nonlinear Schrödinger Equation, Chaos, Solitons and Fractals, vol.8, p.17, 1997.

R. Radhakrishnan, R. Sahadevan, and M. Lakshmanan, Integrability and singularity structure of coupled nonlinear Schrödinger equations, Chaos, Solitons and Fractals, vol.5, issue.12, p.23152327, 1995.

P. M. Santini, Energy exchange of interacting coherent structures in multidimensions, Physica D: Nonlinear Phenomena, vol.41, issue.1, p.2654, 1990.
DOI : 10.1016/0167-2789(90)90026-L

M. Tajiri and T. Arai, Periodic soliton solutions to the Davey-Stewartson equation, Proc. Inst. Math. Natl. Acad. Sci. Ukr. 30, p.210217, 2000.

N. Yoshida, K. Nishinari, J. Satsuma, and K. Abe, Dromion can be remote-controlled, Journal of Physics A: Mathematical and General, vol.31, issue.14, p.3325, 1998.
DOI : 10.1088/0305-4470/31/14/017

V. Zakharov and A. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Soy. Phys, p.6269, 1972.