Exact dynamical behavior for a dual Kaup–Boussinesq system by symmetry reduction and coupled trial equations method

Advances in Difference Equations

Wen-He Li¹  Yong Wang¹ 

[1] Department of Mathematics, Harbin Institute of Technology;

关键词: Trial equation method;    Symmetry;    The complete discrimination system for polynomial;    Exact solution;    Kaup–Boussinesq system;   

DOI  :  10.1186/s13662-019-2357-0

来源: DOAJ

【 摘 要 】

Abstract We propose a coupled trial equation method for a coupled differential equations system. Furthermore, according to the invariant property under the translation, we give the symmetry reduction of a dual Kaup–Boussinesq system, and then we use the proposed trial equation method to construct its exact solutions which describe its dynamical behavior. In particular, we get a cosine function solution with a constant propagation velocity, which shows an important periodic behavior of the system.

【 授权许可】

Unknown