Symmetries and conservation laws for the Karczewska-Rozmej-Rutkowski-Infeld equation

被引：12

作者：

Sergyeyev, A. ^{[1
]}

Vitolo, R. ^{[2
]}

机构：

[1] Silesian Univ Opava, Math Inst, Rybnicku 1, Opava 74601, Czech Republic

[2] Univ Salento, Dept Math & Phys E De Giorgi, Lecce, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 32卷

关键词：

Shallow water waves; Variable depth channel; Karczewska-Rozmej-Rutkowski-Infeld equation; Integrable systems; Symmetries; Conservation laws; RECURSION OPERATORS; SYSTEM;

D O I：

10.1016/j.nonrwa.2016.03.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a complete description of generalized symmetries and local conservation laws for the fifth-order Karczewska-Rozmej-Rutkowski-Infeld equation for shallow water waves in a channel with variable depth. In particular, we show that this equation has no genuinely generalized symmetries and thus is not symmetry integrable. (C) 2016 Published by Elsevier Ltd.

引用

页码：1 / 9

页数：9

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