Some invariant solutions and conservation laws of a type of long-water wave system

Advances in Difference Equations

Yufeng Zhang¹  Xiangzhi Zhang¹ 

[1] School of Mathematics, China University of Mining and Technology;

关键词: Similarity solution;    Conservation law;    Symmetry;   

DOI  :  10.1186/s13662-019-2422-8

来源: DOAJ

【 摘 要 】

Abstract We propose a generalized long-water wave system that reduces to the standard water wave system. We also obtain the Lax pair and symmetries of the generalized shallow-water wave system and single out some their similarity reductions, group-invariant solutions, and series solutions. We further investigate the corresponding self-adjointness and the conservation laws of the generalized system.

【 授权许可】

Unknown