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
收藏
页码：1 / 9
页数：9
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