Derivative non-linear Schrödinger equation: singular manifold method and Lie symmetries

DOI10.1016/j.amc.2021.126089OpenAlexW3131968875MaRDI QIDQ2242697

J. D. Lejarreta, P. Albares, Pilar G. Estevez

Publication date: 10 November 2021

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.09411

zbMATH Keywords

integrabilitysimilarity reductionsderivative nonlinear Schrödinger equationDarboux transformationsLax pairsingular manifold methodLie symmetriesrational solitons

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55)

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New analytic solutions for fluid flow equations in higher dimensions around an offshore structure describing bidirectional wave surfaces

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