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Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System

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Bibliographic Details
Main Authors: Zihong, Huang, Zhenshu, Wen
Format: Book
Language:English
Published: Springer 2023
Subjects:
persistence of kink
perturbed planar system
Online Access:https://link.springer.com/article/10.1007/s44198-023-00111-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7566
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spelling oai:localhost:PNK-75662023-04-05T07:00:34Z Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System Zihong, Huang Zhenshu, Wen persistence of kink perturbed planar system CC BY This paper concerns the persistence of kink and periodic waves to singularly perturbed two-component Drinfel’d-Sokolov-Wilson system. Geometric singular perturbation theory is first employed to reduce the high-dimensional system to the perturbed planar system. By perturbation analysis and Abelian integrals theory, we then are able to find the sufficient conditions about the wave speed to guarantee the existence of heteroclinic orbit and periodic orbits, which indicates the existence of kink and periodic waves. Furthermore, we also show that the limit wave speed c0(k) is increasing. 2023-04-05T07:00:34Z 2023-04-05T07:00:34Z 2023 Book https://link.springer.com/article/10.1007/s44198-023-00111-x https://dlib.phenikaa-uni.edu.vn/handle/PNK/7566 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic persistence of kink
perturbed planar system
spellingShingle persistence of kink
perturbed planar system
Zihong, Huang
Zhenshu, Wen
Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System
description CC BY
format Book
author Zihong, Huang
Zhenshu, Wen
author_facet Zihong, Huang
Zhenshu, Wen
author_sort Zihong, Huang
title Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System
title_short Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System
title_full Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System
title_fullStr Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System
title_full_unstemmed Persistence of Kink and Periodic Waves to Singularly Perturbed Two-Component Drinfel’d–Sokolov–Wilson System
title_sort persistence of kink and periodic waves to singularly perturbed two-component drinfel’d–sokolov–wilson system
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s44198-023-00111-x
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7566
_version_ 1762365502674436096
score 8.891053

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