Conservation laws of the generalized short pulse equation  

作　　者：张智勇 陈玉福 

机构地区：[1]College of Sciences,North China University of Technology [2]School of Mathematical Sciences,University of Chinese Academy of Sciences

出　　处：《Chinese Physics B》2015年第2期12-15,共4页中国物理B（英文版）

基　　金：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);the Doctoral Fund of North China University of Technology(Grant No.41)

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.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 

分 类 号：O241.8[理学—计算数学]