Approximate Symmetry Analysis and Approximate Conservation Laws of Perturbed KdV Equation

被引：3
|
作者：
Bai, Yu-Shan [1 ]
Zhang, Qi [1 ]
机构：
[1] Inner Mongolia Univ Technol, Dept Math, Hohhot 010051, Peoples R China
来源：
ADVANCES IN MATHEMATICAL PHYSICS | 2018年 / 2018卷
关键词：
NOETHER-TYPE SYMMETRIES; PARTIAL LAGRANGIANS;
D O I：
10.1155/2018/4743567
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Approximate symmetries, which are admitted by the perturbed KdV equation, are obtained. The optimal system of one-dimensional subalgebra of symmetry algebra is obtained. The approximate invariants of the presented approximate symmetries and some new approximately invariant solutions to the equation are constructed. Moreover, the conservation laws have been constructed by using partial Lagrangian method.
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页数：11
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