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Conservation laws of the generalized short pulse equation |
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| Authors: | Zhang Zhi-Yong Chen Yu-Fu |
| Affiliation: | 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 |
| 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. |
| Keywords: | nonlinear self-adjointness with differential substitution adjoint symmetry conservation law |
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