Conservation laws of the generalized short pulse equation

doi:10.1088/1674-1056/24/2/020201

›› 2015, Vol. 24 ›› Issue (2): 20201-020201.doi: 10.1088/1674-1056/24/2/020201

• GENERAL • 下一篇

Conservation laws of the generalized short pulse equation

张智勇^a, 陈玉福^b

a College of Sciences, North China University of Technology, Beijing 100144, China;
b School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2014-07-20 修回日期:2014-09-02 出版日期:2015-02-05 发布日期:2015-02-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11301012 and 11271363), the Excellent Young Teachers Program of North China University of Technology (Grant No. 14058) and the Doctoral Fund of North China University of Technology (Grant No. 41).

Conservation laws of the generalized short pulse equation

Zhang Zhi-Yong (张智勇)^a, Chen Yu-Fu (陈玉福)^b

a College of Sciences, North China University of Technology, Beijing 100144, China;
b School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2014-07-20 Revised:2014-09-02 Online:2015-02-05 Published:2015-02-05
Contact: Zhang Zhi-Yong E-mail:zhiyong-2008@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11301012 and 11271363), the Excellent Young Teachers Program of North China University of Technology (Grant No. 14058) and the Doctoral Fund of North China University of Technology (Grant No. 41).

摘要/Abstract

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.

关键词: nonlinear self-adjointness with differential substitution, adjoint symmetry, conservation law

Abstract: 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.

Key words: nonlinear self-adjointness with differential substitution, adjoint symmetry, conservation law

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

02.30.Jr (Partial differential equations) 11.30.-j (Symmetry and conservation laws)

张智勇, 陈玉福. Conservation laws of the generalized short pulse equation[J]. , 2015, 24(2): 20201-020201.

Zhang Zhi-Yong (张智勇), Chen Yu-Fu (陈玉福). Conservation laws of the generalized short pulse equation[J]. Chin. Phys. B, 2015, 24(2): 20201-020201.

参考文献 20

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Conservation laws of the generalized short pulse equation

Conservation laws of the generalized short pulse equation

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