Traveling wave solutions of the derivative nonlinear Schrödinger hierarchy

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 equat...

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Bibliographic Details
Published in:Applied mathematics and computation 2024-09, Vol.477, p.128802, Article 128802
Main Authors: Kudryashov, Nikolay A., Lavrova, Sofia F.
Format: Article
Language:English
Subjects:
Derivative nonlinear Schrödinger hierarchy
First integral
Lax pair
Traveling wave solution
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Summary: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. •The traveling wave reduction of the Kaup-Newell hierarchy is studied.•The Lax pair associated with this hierarchy is found.•The first integrals of nonlinear ordinary differential equations are obtained.•Exact solutions in the form of solitary and periodic waves are found.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2024.128802