Covariant hodograph transformations between nonlocal short pulse models and the AKNS(-1) system

被引：24

作者：

Chen, Kui ^{[1
]}

Liu, Shimin ^{[1
]}

Zhang, Da-jun ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2019年 / 88卷

关键词：

Nonlocal hodograph transformation; AKNS(-1); Short pulse equation; Nonlocal reduction; NONLINEAR-EVOLUTION-EQUATIONS; COMPLEX SHORT-PULSE; HIERARCHY; REDUCTION;

D O I：

10.1016/j.aml.2018.09.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper presents hodograph transformations between nonlocal short pulse models and the first member in the Ablowitz-Kaup-Newell-Segur negative hierarchy (AKNS(-1)). Multi-component cases are also considered. It is shown that the independent variables of the short pulse models and AKNS(-1) that are connected via hodograph transformations are covariant in nonlocal reductions. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：230 / 236

页数：7

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