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S. V. Manakov, V. E. Zakharov, L. A. Bordag, and V. B. Matveev, Twodimensional solitons of the Kadomtsev-Petviashvili equation and their interaction, pp.205-206, 1977.

I. Krichever, Rational solutions of the Kadomtcev-Petviashvili equation and integrable systems of n particules on a line, Funct. Anal. and Appl, issue.12 1, pp.76-78, 1978.

I. Krichever and S. P. , Novikov Holomorphic bundles over Riemann surfaces and the KPI equation, Funkt. Ana. E Pril, vol.12, pp.41-52, 1979.

J. Satsuma and M. J. Ablowitz, Two???dimensional lumps in nonlinear dispersive systems, Journal of Mathematical Physics, vol.20, issue.7, pp.1496-1503, 1979.
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V. B. Matveev, Darboux transformation and explicit solutions of the Kadomtcev-Petviaschvily equation depending on functional parameters, Letters in Mathematical Physics, pp.213-216, 1979.

P. Gaillard and V. B. Matveev, Wronskian addition formula and its applications , Max-Planck-Institut für Mathematik, p.161, 2002.

P. Gaillard, 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

P. Gaillard and V. B. Matveev, 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 : 10.1007/978-3-662-00922-2

P. Gaillard and V. B. Matveev, Wronskian and Casorai determinant representations for Darboux-Pöschl-Teller potentials and their difference extensions, RIMS Kyoto, N, vol.1653, pp.1-19, 2009.

P. Gaillard and V. B. Matveev, 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.

P. Gaillard, From finite-gap solutions of KdV in terms of theta functions to solitons and positons, p.466159, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00466159

P. Gaillard, Families of quasi-rational solutions of the NLS equation and multi-rogue waves, Journal of Physics A: Mathematical and Theoretical, vol.44, issue.43, pp.1-15, 2011.
DOI : 10.1088/1751-8113/44/43/435204

P. Gaillard, Wronskian representation of solutions of the NLS equation and higher Peregrine breathers, J. Math. Sciences : Adv. Appl, issue.13 2, pp.71-153, 2012.

P. Gaillard, Degenerate determinant representation of solutions of the nonlinear Schr??dinger equation, higher order Peregrine breathers and multi-rogue waves, Journal of Mathematical Physics, vol.34, issue.2, pp.13504-13505, 2013.
DOI : 10.1017/S0334270000003891

P. Gaillard, Wronskian Representation of Solutions of NLS Equation, and Seventh Order Rogue Wave, Journal of Modern Physics, vol.04, issue.02, pp.246-266, 2013.
DOI : 10.4236/jmp.2013.42035
URL : https://hal.archives-ouvertes.fr/hal-00638079

P. Gaillard and V. B. Matveev, Wronskian addition formula and Darboux- Pöschl-Teller potentials, J. Math, vol.645752, pp.1-10, 2013.

P. Gaillard, Two Parameters Deformations of Ninth Peregrine Breather Solution of the NLS Equation and Multi-Rogue Waves, Journal of Mathematics, vol.85, issue.2, pp.1-111, 2013.
DOI : 10.1103/PhysRevE.86.056602

P. Gaillard, Two-parameter determinant representation of seventh order rogue wave solutions of the NLS equation, Journal of Theoretical and Applied Physics, vol.7, issue.1, pp.1-6, 2013.
DOI : 10.1098/rspa.2011.0640

P. Gaillard, Six-parameters deformations of fourth order Peregrine breather solutions of the nonlinear Schr??dinger equation, Journal of Mathematical Physics, vol.34, issue.2, pp.73519-73520, 2013.
DOI : 10.1098/rspa.2011.0640

P. Gaillard, Deformations of third-order Peregrine breather solutions of the nonlinear Schr??dinger equation with four parameters, Physical Review E, vol.13, issue.4, pp.42903-42904, 2013.
DOI : 10.1038/nphys1740

P. Gaillard, Ten parameters deformations of the sixth order Peregrine breather solutions of the NLS equation, Phys. Scripta, 2014.

P. Gaillard, The Fifth Order Peregrine Breather and Its Eight-Parameter Deformations Solutions of the NLS Equation, Communications in Theoretical Physics, vol.61, issue.3, pp.61-365, 2014.
DOI : 10.1088/0253-6102/61/3/16

P. Gaillard, Higher order Peregrine breathers, their deformations and multirogue waves, Conf. Ser., V. 482, 2014.
DOI : 10.1088/1742-6596/482/1/012016
URL : http://iopscience.iop.org/article/10.1088/1742-6596/482/1/012016/pdf

P. Gaillard and M. Gastineau, 18 parameter deformations of the Peregrine breather of order 10 solutions of the NLS equation, International Journal of Modern Physics C, vol.2, issue.02, pp.1550016-1550017, 2014.
DOI : 10.1103/PhysRevE.88.013207

P. Gaillard, Two parameters wronskian representation of solutions of nonlinear Schrödinger equation, eight Peregrine breather and multi-rogue waves, J. Math. Phys., V, vol.5, pp.93506-93507, 2014.

P. Gaillard, Hierarchy of solutions to the NLS equation and multi-rogue waves, Journal of Physics: Conference Series, vol.574, pp.12031-12032, 2015.
DOI : 10.1088/1742-6596/574/1/012031
URL : https://hal.archives-ouvertes.fr/hal-01045243

P. Gaillard, Tenth Peregrine breather solution to the NLS equation, Annals of Physics, vol.355, pp.293-298, 2015.
DOI : 10.1016/j.aop.2015.01.027

P. Gaillard and M. Gastineau, 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.379-13091313
DOI : 10.1016/j.physleta.2015.03.011

P. Gaillard, th order AP breather, Journal of Physics A: Mathematical and Theoretical, vol.48, issue.14, pp.145203-145204, 2015.
DOI : 10.1088/1751-8113/48/14/145203
URL : https://hal.archives-ouvertes.fr/hal-01131608

P. Gaillard, Multi-parametric Deformations of Peregrine Breathers Solutions to the NLS Equation, Advances in Research, vol.4, issue.5, pp.346-364, 2015.
DOI : 10.9734/AIR/2015/16827

P. Gaillard, Higher order Peregrine breathers solutions to the NLS equation , Jour, pp.12106-12107, 2016.

P. Gaillard and M. , 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, vol.10, pp.1-7, 2016.

P. Gaillard and M. , 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-01224526

P. Gaillard, Rational solutions to the KPI equation and multi rogue waves, Annals of Physics, vol.367, pp.1-5, 2016.
DOI : 10.1016/j.aop.2016.01.013
URL : https://hal.archives-ouvertes.fr/hal-01410308

P. Gaillard and M. , Gastineau Twenty two parameters deformations of the twelfth Peregrine breather solutions to the NLS equation, Adv. Res., V, pp.1-11, 2016.

P. Gaillard, Toward a classification of quasirational solutions of the nonlinear Schr??dinger equation, Theoretical and Mathematical Physics, vol.44, issue.1, pp.1440-1449, 2016.
DOI : 10.1103/PhysRevE.88.013207

P. Gaillard, Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves, Journal of Mathematical Physics, vol.57, issue.6, pp.63505-63506
DOI : 10.1134/S0965542514010151
URL : https://hal.archives-ouvertes.fr/hal-01414596

P. Gaillard and M. , Gastineau Families of deformations of the thirteenth Peregrine breather solutions to the NLS equation depending on twenty four parameters, Jour. Of Bas. And Appl. Res. Int., V, vol.21, issue.3, pp.130-139, 2017.

P. Gaillard, From Fredholm and Wronskian representations to rational solutions to the KPI equation depending on 2N 2 parameters, Int. Jour. of Appl. Sci. And Math, vol.3, issue.4, pp.60-70, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01525384

P. Gaillard, Families of Rational Solutions of Order 5 to the KPI Equation Depending on 8 Parameters, New Hor, Math. Phys, pp.26-31, 2017.

P. Gaillard, 6-th order rational solutions to the KPI Equation depending on 10 parameters, Jour. Of Bas. And Appl. Res. Int., V, vol.21, issue.2, pp.92-98, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01648248