Doubly-Periodic Solutions of the Class I Infinitely Extended Nonlinear Schrodinger Equation

Abstract

We present doubly-periodic solutions of the infinitely extended nonlinear Schrodinger equation with an arbitrary number of higher-order terms and corresponding free real parameters. Solutions have one additional free variable parameter that allows to vary periods along the two axes. The presence of infinitely many free parameters provides many possibilities in applying the solutions to nonlinear wave evolution. Being general, this solution admits several particular cases which are also given in this work.

arXiv comment7 pages, 5 figures. Published in Physical Review E

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Cited by in corpus (3)

• Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation
• Rogue waves on an elliptic function background in complex modified Korteweg-de Vries equation
• Two-breather solutions for the class I infinitely extended nonlinear Schrodinger equation and their special cases