, Stability of periodic waves of finite amplitude on the surface of a deep fluid, Journal of Applied Mechanics and Technical Physics, vol.10, issue.no. 4, pp.86-94, 1968.
DOI : 10.1007/BF00913182
, Shabat Exact theory of two dimensional self focusing and one dimensinal self modulation of waves in nonlinear media, Sov. Phys. JETP, V, vol.34, pp.62-69, 1972.
, Water waves, nonlinear Schr??dinger equations and their solutions, The Journal of the Australian Mathematical Society. Series B. Applied Mathematics, vol.61, issue.01, pp.16-43, 1983.
DOI : 10.1017/S0022112080000481
, Generation of periodic trains of picosecond pulses in an optical fiber : exact solutions, Sov. Phys, J.E.T.P., V, vol.62, pp.894-899, 1985.
, Exact first order solutions of the nonlinear Schrödinger equation, Th. Math. Phys., V, vol.72, issue.2, pp.183-196, 1987.
, Rogue waves and rational solutions of nonlinear Schrödinger equation, Physical Review E, V, vol.80, 2009.
, Rogue waves, rational solutions, the patterns of their zeros and integral relations, J. Phys. A : Math. Theor., V, vol.43, pp.122002-122003, 2010.
, Families of quasirational solutions of the NLS equation and multi-rogue waves, J. Phys. A : Meth. Theor., V, vol.44, pp.1-15, 2011.
, Degenerate determinant representation of solutions of the nonlinear Schr??dinger equation, higher order Peregrine breathers and multi-rogue waves, Journal of Mathematical Physics, vol.54, issue.1, pp.13504-13505, 2013.
DOI : 10.1063/1.4773096
, Trajectory Characters of rogue waves, 2013.
, Superregulier solitonic solutions : a novel scenario for the nonlinear stage of modulation instability, Non linearity, pp.1-39, 2014.
, Wronskian addition formula and its applications , Max-Planck-Institut für Mathematik, MPI 02-31, p.161, 2002.
, A New Family of Deformations of Darboux-P??schl-Teller Potentials, Letters in Mathematical Physics, vol.68, issue.2, pp.77-90, 2004.
DOI : 10.1023/B:MATH.0000043317.04919.a0
, New Formulas for the Eigenfunctions of the Two-Particle Difference Calogero???Moser System, Letters in Mathematical Physics, vol.210, issue.6, pp.1-12, 2009.
DOI : 10.1007/s11005-009-0315-6
, Wronskian and Casorai determinant representations for Darboux- Pöschl-Teller potentials and their difference extensions, J. Phys A : Math. Theor., V, vol.42, pp.1-16, 2009.
, Wronskian representation of solutions of the NLS equation and higher Peregrine breathers, J. Math. Sciences
, Wronskian representation of solutions of NLS equation and seventh order rogue waves, J. Mod. Phys., V, vol.13, issue.4 4, pp.71-153, 2012.
, Wronskian addition formula and Darboux-Pöschl-Teller potentials Two parameters deformations of ninth Peregrine breather solution of the NLS equation and multi rogue waves, ) [19] P. Gaillard, pp.2013-2014, 2013.
, Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation, Journal of Theoretical and Applied Physics, vol.7, issue.1
DOI : 10.1098/rspa.2011.0640
, Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schr??dinger equation, Journal of Mathematical Physics, vol.54, issue.7, pp.73519-73520, 2013.
DOI : 10.1063/1.4816129
, Deformations of third-order Peregrine breather solutions of the nonlinear Schr??dinger equation with four parameters, Physical Review E, vol.88, issue.4, pp.42903-42904, 2013.
DOI : 10.1103/PhysRevE.88.042903
, Ten parameters deformations of the sixth order Peregrine breather solutions of the NLS equation, Phys. Scripta, V The fifth order Peregrine breather and its eight-parameters deformations solutions of the NLS equation, ) [24] P. Gaillard, pp.61-365, 2014.
, Higher order Peregrine breathers, their deformations and multi-rogue waves, J. Of Phys. : Conf. Ser, 2014.
, 18 parameter deformations of the Peregrine breather of order 10 solutions of the NLS equation, 2014) [27] P. Gaillard, pp.1550016-1550017, 2014.
DOI : 10.1142/S0129183115500163
, Hierarchy of solutions to the NLS equation and multirogue waves, J. Phys
URL : https://hal.archives-ouvertes.fr/hal-01045243
, ) [29] P. Gaillard, Tenth Peregrine breather solution of the NLS, Ann. Phys., V, vol.574, issue.355, pp.293-298, 2015.
, The Peregrine breather of order nine and its deformations with sixteen parameters solutions to the NLS equation, Physics Letters A, vol.379, issue.20-21, pp.1309-1313, 2015.
DOI : 10.1016/j.physleta.2015.03.011
, th order AP breather, 2015) [32] P. Gaillard, pp.145203-145204, 2015.
DOI : 10.1088/1751-8113/48/14/145203
URL : https://hal.archives-ouvertes.fr/hal-01131608
, Higher order Peregrine breathers solutions to the NLS equation, Jour. Phys. : Conf. Ser, pp.12106-12107, 2015.
, Gastineau Patterns of deformations of Peregrine breather of order 3 and 4, solutions to the NLS equation with multi-parameters, Journal of Theoretical and Applied Physics, 2016.
, Twenty Parameters Families of Solutions to the NLS Equation and the Eleventh Peregrine Breather, Communications in Theoretical Physics, vol.65, issue.2, pp.136-144, 2016.
DOI : 10.1088/0253-6102/65/2/136
URL : https://hal.archives-ouvertes.fr/hal-01405314
, Rational solutions to the KPI equation and multi rogue waves, Annals of Physics, vol.367, pp.293-298, 2016.
DOI : 10.1016/j.aop.2016.01.013
URL : https://hal.archives-ouvertes.fr/hal-01410308
, Towards a classification of the quasi rational solutions to the NLS equation General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation, Teoreticheskaya Y Matematicheskaya Fyzyka, 2015.
, 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, pp.247-258, 2010.
DOI : 10.1140/epjst/e2010-01252-9
, The Peregrine soliton in nonlinear fibre optics, Nature Physics, vol.3, issue.10, p.790795, 2010.
DOI : 10.1103/RevModPhys.78.1135
URL : https://hal.archives-ouvertes.fr/hal-00510987
, Super Rogue Waves: Observation of a Higher-Order Breather in Water Waves, Physical Review X, vol.2, issue.1, pp.1-6, 2012.
DOI : 10.1103/PhysRevX.2.011015