New exact travelling wave solutions of bidirectional wave equations

Pramana

Jonu Lee¹  Rathinasamy Sakthivel1¹ 

[1] Department of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of Korea$$

关键词: Travelling wave solutions;    tanh–coth function method;    Riccati equations;    symbolic computation.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The surface water waves in a water tunnel can be described by systems of the form [Bona and Chen, Physica D116, 191 (1998)] egin{equation*}egin{cases} v_t + u_x + (uv)_x + au_{x x x} − bv_{x x t} = 0,\ u_t + v_x + u u_x + cv_{x x x} − d u_{x x t} = 0,end{cases} ag{1}end{equation*} where 𝑎, 𝑏, 𝑐 and d are real constants. In general, the exact travelling wave solutions will be helpful in the theoretical and numerical study of the nonlinear evolution systems. In this paper, we obtain exact travelling wave solutions of system (1) using the modified tanh–coth function method with computerized symbolic computation.

【 授权许可】

Unknown