Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation

By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space. An asymmetric soliton can be formed by adjusting the distance between two soli...

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Main Authors: Na Xiong, Ya-Xuan Yu, Biao Li
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2021/5534996
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author Na Xiong
Ya-Xuan Yu
Biao Li
author_facet Na Xiong
Ya-Xuan Yu
Biao Li
author_sort Na Xiong
collection DOAJ
description By N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space. An asymmetric soliton can be formed by adjusting the distance between two solitons of soliton molecule to small enough. The interactions among multiple soliton molecules for the equation are elastic. Then, full symmetry group is derived for the KSKR equation by the symmetry group direct method. From the full symmetry group, a general group invariant solution can be obtained from a known solution.
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institution Kabale University
issn 1687-9120
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language English
publishDate 2021-01-01
publisher Wiley
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series Advances in Mathematical Physics
spelling doaj-art-1cb06522ab3848c186e113c60cf51afd2025-02-03T06:47:02ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55349965534996Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani EquationNa Xiong0Ya-Xuan Yu1Biao Li2College of Science and Technology, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaSchool of Mathematics and Statistics, Ningbo University, Ningbo 315211, ChinaBy N-soliton solutions and a velocity resonance mechanism, soliton molecules are constructed for the KdV-Sawada-Kotera-Ramani (KSKR) equation, which is used to simulate the resonances of solitons in one-dimensional space. An asymmetric soliton can be formed by adjusting the distance between two solitons of soliton molecule to small enough. The interactions among multiple soliton molecules for the equation are elastic. Then, full symmetry group is derived for the KSKR equation by the symmetry group direct method. From the full symmetry group, a general group invariant solution can be obtained from a known solution.http://dx.doi.org/10.1155/2021/5534996
spellingShingle Na Xiong
Ya-Xuan Yu
Biao Li
Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
Advances in Mathematical Physics
title Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
title_full Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
title_fullStr Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
title_full_unstemmed Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
title_short Soliton Molecules and Full Symmetry Groups to the KdV-Sawada-Kotera-Ramani Equation
title_sort soliton molecules and full symmetry groups to the kdv sawada kotera ramani equation
url http://dx.doi.org/10.1155/2021/5534996
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AT yaxuanyu solitonmoleculesandfullsymmetrygroupstothekdvsawadakoteraramaniequation
AT biaoli solitonmoleculesandfullsymmetrygroupstothekdvsawadakoteraramaniequation