Derivative non-linear Schrodinger equation: Singular manifold method and Lie symmetries

被引：6

作者：

Albares, P. ^{[1
]}

Estevez, P. G. ^{[1
]}

Lejarreta, J. D. ^{[2
]}

机构：

[1] Univ Salamanca, Dept Fis Fundamental, Salamanca, Spain

[2] Univ Salamanca, Dept Fis Aplicada, Salamanca, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2021年 / 400卷

关键词：

Integrability; Derivative non-linear Schrodinger equation; Singular manifold method; Lax pair; Darboux transformations; Rational solitons; Lie symmetries; Similarity reductions; SELF-PHASE MODULATION; GLOBAL WELL-POSEDNESS; WATER-WAVE EQUATION; MULTISOLITON SOLUTIONS; PARALLEL PROPAGATION; HYDROMAGNETIC-WAVES; PERIODIC-SOLUTIONS; DNLS EQUATION; ALFVEN WAVES; ROGUE WAVES;

D O I：

10.1016/j.amc.2021.126089

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a generalized study and characterization of the integrability properties of the derivative non-linear Schrodinger equation in 1 + 1 dimensions. A Lax pair is derived for this equation by means of a Miura transformation and the singular manifold method. This procedure, together with the Darboux transformations, allow us to construct a wide class of rational soliton-like solutions. Clasical Lie symmetries have also been computed and similarity reductions have been analyzed and discussed. (C) 2021 Elsevier Inc. All rights reserved.

引用

页数：19

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