期刊
NONLINEAR DYNAMICS
卷 80, 期 1-2, 页码 629-635出版社
SPRINGER
DOI: 10.1007/s11071-015-1894-7
关键词
Singularly perturbed KdV equation; Geometric singular perturbation method; Solitary wave solution; Homoclinic orbits; Center manifold
资金
- Natural Science Foundation of China [11471146]
- PAPD of Jiangsu Higher Education Institutions and postgraduate training project of Jiangsu Province
- Jiangsu Normal University
In this paper, we are concerned with a singularly perturbed higher-order KdV equation, which is considered as a paradigm in nonlinear science and has many applications in weakly nonlinear and weakly dispersive physical systems. Based on the relation between solitary wave solution and homoclinic orbits of the associated ordinary differential equations, the persistence of the solitary wave solution for the singularly perturbed KdV equation is investigated by using the geometric singular perturbation theory and dynamical systems approach when the perturbation parameter is suitably small.
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