References

WRONSKIAN REPRESENTATION OF SOLUTIONS OF THE NLS EQUATION AND HIGHER PEREGRINE BREATHERS


[1] N. Akhmediev, V. Eleonsky and N. Kulagin, Generation of periodic trains of picosecond pulses in an optical fiber: Exact solutions, Sov. Phys. J.E.T.P. 62 (1985), 894-899.

[2] N. Akhmediev, V. Eleonskii and N. Kulagin, Exact first order solutions of the nonlinear Schrödinger equation, Th. Math. Phys. 72(2) (1987), 183-196.

[3] N. Akhmediev, A. Ankiewicz and J. M. Soto-Crespo, Rogue waves and rational solutions of nonlinear Schrödinger equation, Physical Review E 80(026601) (2009).

[4] N. Akhmediev, A. Ankiewicz and P. A. Clarkson, Rogue waves, rational solutions, the patterns of their zeros and integral relations, J. Phys. A: Math. Theor. 43(122002) (2010), 1-9.

[5] E. D. Belokolos, A. I. Bobenko, A. R. Its, V. Z. Enolskij and V. B. Matveev, Algebro-geometric Approach to Nonlinear Integrable Equations, Springer Series in Nonlinear Dynamics, Springer Verlag, (1994), 1-360.

[6] P. Dubard, P. Gaillard, C. Klein and V. B. Matveev, On multi-rogue waves solutions of the NLS equation and positon solutions of the KdV equation, Eur. Phys. J. Special Topics 185 (2010), 247-258.

[7] P. Dubard and V. B. Matveev, Multi-rogue waves solutions of the focusing NLS equation and the KP-I equation, Nat. Hazards Earth Syst. Sci. 11 (2011), 667-672.

[8] V. Eleonskii, I. Krichever and N. Kulagin, Rational multisoliton solutions to the NLS equation, Soviet Doklady 1986 Sect. Math. Phys. 287 (1986), 606-610.

[9] A. R. Its, A. V. Rybin and M. A. Salle, Exact integration of nonlinear Schrödinger equation, Teore. i Mat. Fiz. 74(1) (1988), 29-45.

[10] V. B. Matveev and M. A. Salle, Darboux Transformations and Solitons, Series in Nonlinear Dynamics, Springer Verlag, Berlin, 1991.

[11] D. Peregrine, Water waves, nonlinear Schrödinger equations and their solutions, J. Austral. Math. Soc. Ser. B 25 (1983), 16-43.

[12] V. E. Zakharov, Stability of periodic waves of finite amplitude on the surface of a deep fluid, J. Appl. Mech. Tech. Phys. 9(2) (1969), 190-194.