R. E. Johnson, Water waves and Kortewegde Vries equations, J. Fluid Mech, vol.701719, issue.4, 1980.

R. E. Johnson, A Modern Introduction to the Mathematical Theory of Water Waves, 1997.

M. J. Ablowitz, Nonlinear Dispersive Waves : Asymptotic Analysis and Solitons, 2011.

V. D. Lipovskii, On the nonlinear internal wave theory in fluid of finite depth, Izv. Akad. Nauka, vol.864871, issue.8, 1985.

V. I. Golinko, V. S. Dryuma, and Y. A. Stepanyants, Nonlinear quasicylindrical waves: Exact solutions of the cylindrical Kadomtsev-Petviashvili equation, Proc. 2nd Int. Workshop on Nonlinear and Turbulent Processes in Physics, vol.13531360, 1984.

V. D. Lipovskii, V. B. Matveev, and A. O. Smirnov, connection between the Kadomtsev-Petvishvili and Johnson equation, Zap. Nau. Sem., V, vol.150, 1986.

C. Klein, V. B. Matveev, and A. O. Smirnov, Cylindrical Kadomtsev-Petviashvili equation: Old and new results, Theor. Math. Phys, issue.2, pp.1132-1145, 2007.

K. R. Khusnutdinova, C. Klein, V. B. Matveev, and A. O. Smirnov, On the integrable elliptic cylindrical K-P equation Chaos, pp.13126-13127, 2013.

B. B. Kadomtsev and V. I. Petviashvili, On the stability of solitary waves in weakly dispersing media, Sov. Phys. Dokl, issue.6, pp.539-541, 1970.

M. J. Ablowitz and H. , Segur On the evolution of packets of water waves, J. Fluid Mech., V, vol.92, pp.691-715, 1979.

D. E. Pelinovsky, Y. A. Stepanyants, and Y. A. Kivshar, Self-focusing of plane dark solitons in nonlinear defocusing media, Phys. Rev. E, V, vol.51, pp.5016-5026, 1995.

P. Gaillard, Families of Rational Solutions of Order 5 to the KPI Equation Depending on 8 Parameters, New Hor. in Math. Phys., V. 1, N, vol.1, pp.26-31, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01598396

W. Wu, Some new exact solutions for the twodimensional Navier-Stokes equations, Phys. Lett. A, V, vol.371, pp.438-452, 2007.

M. Wang, J. Zhang, and X. Li, Decay mode solutions to cylindrical KP equation, Appl. Math. Lett., V, vol.371, pp.1-7, 2016.

B. Konopelchenko, Introduction to Multidimensional Integrable Equations, 1992.
DOI : 10.1007/978-1-4899-1170-4

I. Anders and A. , Boutet de Monvel, Asymptotic Solitons of the Johnson Equation, Jour. of Nonlin. Math. Phys, issue.3, pp.284-302, 2000.

L. Zhou and Y. Sheng, Recyclable amplification protocol for the single-photon entangled state, Las. Phys. Lett, vol.4, 2004.

P. Gaillard and V. B. Matveev, Wronskian addition formula and its applications, vol.161, 2002.
DOI : 10.1155/2013/645752
URL : http://downloads.hindawi.com/journals/jmath/2013/645752.pdf

P. Gaillard, A new family of deformations of Darboux-Pöschl-Teller potentials, Lett. Math. Phys., V, vol.68, pp.77-90, 2004.

P. Gaillard and V. B. Matveev, New formulas for the eigenfunctions of the two-particle Calogero-Moser system, Lett. Math. Phys., V, vol.89, pp.1-12, 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.404409-404410, 2009.

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, Eur. Phys. J. Spe. Top., V, vol.185, pp.247-258, 2010.

P. Gaillard, Families of quasi-rational solutions of the NLS equation and multi-rogue waves, J. Phys. A : Meth. Theor., V, vol.44, pp.435204-435205, 2011.

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

P. Gaillard, Degenerate determinant representation of solution of the NLS equation, higher Peregrine breathers and multi-rogue waves, J. Math. Phys., V, vol.54, pp.13504-13505, 2013.

P. Gaillard, Wronskian representation of solutions of NLS equation and seventh order rogue waves, J. Mod. Phys, vol.4, pp.246-266, 2013.

P. Gaillard and V. B. Matveev, Wronskian addition formula and DarbouxPöschl-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, J. Math, 2013.

P. Gaillard, Two-parameters determinant representation of seventh order rogue waves solutions of the NLS equation, J. Theor. Appl. Phys, vol.45, pp.1-6, 2013.

P. Gaillard, Six-parameters deformations of fourth order Peregrine breather solutions of the NLS equation, J. Math. Phys., V, vol.54, pp.73519-73520, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00798669

P. Gaillard, Deformations of third order Peregrine breather solutions of the NLS equation with four parameters, Phys. Rev. E, V, vol.88, pp.42903-42904, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00783882

P. Gaillard, Ten parameters deformations of the sixth order Peregrine breather solutions of the NLS equation, Phys. Scripta, vol.89, pp.15004-15005, 2014.

P. Gaillard, The fifth order Peregrine breather and its eight-parameters deformations solutions of the NLS equation, Commun. Theor. Phys., V, vol.61, pp.365-369, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00819359

P. Gaillard, Higher order Peregrine breathers, their deformations and multirogue waves, J. Of Phys. : Conf. Ser., V, vol.482, pp.12016-12017, 2014.

P. Gaillard and M. Gastineau, Eighteen parameter deformations of the Peregrine breather of order ten solutions of the NLS equation, Int. J. Mod. Phys. C, issue.2, pp.1550016-1550017, 2014.

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, J. Phys. : Conf. Ser., V, vol.574, pp.12031-12032, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01045243

P. Gaillard, Tenth Peregrine breather solution of the NLS, Ann. Phys., V, vol.355, pp.293-298, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00743859

P. Gaillard and M. Gastineau, The Peregrine breather of order nine and its deformations with sixteen parameters solutions of the NLS equation, Phys. Lett. A, V, vol.379, pp.1309-1313, 2015.

P. Gaillard, Other 2N-2 parameters solutions to the NLS equation and 2N+1 highest amplitude of the modulus of the N-th order AP breather, J. Phys. A: Math. Theor., V, vol.48, pp.145203-145204, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01131608

P. Gaillard, Multi-parametric deformations of the Peregrine breather of order N solutions to the NLS equation and multi-rogue waves, Adv. Res, issue.5, pp.346-364, 2015.

P. Gaillard, Higher order Peregrine breathers solutions to the NLS equation, Jour. Phys. : Conf. Ser., V, vol.633, pp.12106-12107, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01109143

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. Gastineau, Twenty parameters families of solutions to the NLS equation and the eleventh Peregrine breather, Commun. Theor. Phys, issue.2, pp.136-144, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01224526

P. Gaillard, Rational solutions to the KPI equation and multi rogue waves, Annals Of Physics, V, vol.367, pp.1-5, 2016.
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, vol.10, pp.83-89, 2016.

P. Gaillard, Towards a classification of the quasi rational solutions to the NLS equation, Theor. And Math. Phys, issue.1, pp.1440-1449, 2016.

P. Gaillard, Fredholm and Wronskian representations of solutions to the KPI equation and multi-rogue waves, Jour. of Math. Phys., V, vol.57, pp.63505-63506, 2016.
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, 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, issue.3, 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. in Math. Phys., V. 1, N, vol.1, pp.26-31, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01598396

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

P. Gaillard, Families of rational solutions to the KPI equation of order 7 depending on 12 parameters, Int. Jour. of Adv. Res. in Phys. Sci, issue.11, pp.24-30, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01700810