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.
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收藏
页码：1 / 9
页数：9
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