期刊
NONLINEAR DYNAMICS
卷 97, 期 4, 页码 2413-2423出版社
SPRINGER
DOI: 10.1007/s11071-019-05137-9
关键词
Benjamin-Bona-Mahony equation; Solitary wave; Geometric singular perturbation theory; Melnikov integral
资金
- Natural Science Foundations of China [11771082]
In this manuscript, based on the geometric singular perturbation theory, several new solitary wave solutions in a perturbed generalized Benjamin-Bona-Mahony (BBM) equation are detected by the explicit calculation of the associated Melnikov integrals. These solitary wave solutions are homoclinic to non-trivial steady states and have not been found before. We also determine the zeroth-order approximations to the speeds of these solitary waves explicitly. In the calculations of the Melnikov integrals, the explicit expressions of the unperturbed homoclinic orbits play an important role.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据