Solitary wave solution to a singularly perturbed generalized Gardner equation with nonlinear terms of any order

Pramana

J XU¹  J B ZHOU1¹  X Q YANG¹  J D WEI¹ 

[1] Nonlinear Scientific Research Center, Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu, 212013, People’s Republic of China$$

关键词: Perturbed generalized Gardner equation;    solitary wave solution;    geometric singular perturbation theory;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

This paper is concerned with the existence of travelling wave solutions to a singularly perturbed generalized Gardner equation with nonlinear terms of any order. By using geometric singular perturbation theory and based on the relation between solitary wave solution and homoclinic orbits of the associated ordinary differential equations, the persistence of solitary wave solutions of this equation is proved when the perturbation parameter is sufficiently small. The numerical simulations verify our theoretical analysis.

【 授权许可】

Unknown