Conservation laws of the generalized short pulse equation

被引：10
|
作者：
Zhang Zhi-Yong [1 ]
Chen Yu-Fu [2 ]
机构：
[1] North China Univ Technol, Coll Sci, Beijing 100144, Peoples R China
[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
来源：
CHINESE PHYSICS B | 2015年 / 24卷 / 02期
基金：
中国国家自然科学基金;
关键词：
nonlinear self-adjointness with differential substitution; adjoint symmetry; conservation law; NOETHER-TYPE SYMMETRIES; PARTIAL LAGRANGIANS;
D O I：
10.1088/1674-1056/24/2/020201
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We show that the generalized short pulse equation is nonlinearly self-adjoint with differential substitution. Moreover, any adjoint symmetry is a differential substitution of nonlinear self-adjointness, and vice versa. Consequently, the general conservation law formula is constructed and new conservation laws for some special cases are found.
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页数：4
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