Traveling wave solutions of the derivative nonlinear Schrödinger hierarchy

Nikolay A. Kudryashov and Sofia F. Lavrova

Applied Mathematics and Computation, 2024, vol. 477, issue C

Abstract: The first three members of the nonlinear ordinary differential equations for the derivative nonlinear Schrödinger hierarchy are considered. Reduction to nonlinear ordinary differential equations is utilized to obtain traveling wave solutions. Lax pairs for these nonlinear ordinary differential equations are presented. The first integrals of nonlinear ordinary differential equations are obtained by taking Lax pairs into account. Exact solutions in the form of solitary and periodic waves are found by means of the generalized method of auxiliary equations.

Keywords: Derivative nonlinear Schrödinger hierarchy; Lax pair; First integral; Traveling wave solution (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:477:y:2024:i:c:s0096300324002637

DOI: 10.1016/j.amc.2024.128802

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