Existence of Solitary Waves in a Perturbed KdV-mKdV Equation

In this paper, we establish the existence of a solitary wave in a KdV-mKdV equation with dissipative perturbation by applying the geometric singular perturbation technique and Melnikov function. The distance of the stable manifold and unstable manifold is computed to show the existence of the homocl...

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Bibliographic Details
Main Authors: Chengqun Li, Minzhi Wei, Yuanhua Lin
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/2270924