Existence of solitary waves in a perturbed KdV-mKdV equation
type: Item
instance of: scholarly article
title: Existence of solitary waves in a perturbed KdV-mKdV equation
zbMATH Open document ID: 1477.35061
DOI: 10.1155/2021/2270924
author: Chengqun Li
author: Minzhi Wei
author: Yuanhua Lin
published in: Journal of Mathematics
publication date: 2021-07-07T00:00:00Z
review text: Summary: 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 homoclinic loop for the related ordinary differential equation systems on the slow manifold, which implies the existence of a solitary wave for the KdV-mKdV equation with dissipative perturbation.
Mathematics Subject Classification ID: 35C07
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 7369034
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/2270924
OpenAlex ID: W3172506642
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description: scientific article; zbMATH DE number 7369034