Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation

Using a suitable gauge transformation matrix, we present a N-fold Darboux transformation for a Vakhnenko lattice system. This transformation preserves the form of Lax pair of the Vakhnenko lattice system. Applying the obtained Darboux transformation, we arrive at an exact solution of the Vakhnenko l...

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Autores principales:	Ning Zhang, Xi-Xiang Xu
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/3048820ec0564dbd8d8396962c585ba0
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id	oai:doaj.org-article:3048820ec0564dbd8d8396962c585ba0
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spelling	oai:doaj.org-article:3048820ec0564dbd8d8396962c585ba02021-11-22T01:09:43ZObtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation1563-514710.1155/2021/7858270https://doaj.org/article/3048820ec0564dbd8d8396962c585ba02021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/7858270https://doaj.org/toc/1563-5147Using a suitable gauge transformation matrix, we present a N-fold Darboux transformation for a Vakhnenko lattice system. This transformation preserves the form of Lax pair of the Vakhnenko lattice system. Applying the obtained Darboux transformation, we arrive at an exact solution of the Vakhnenko lattice system.Ning ZhangXi-Xiang XuHindawi LimitedarticleEngineering (General). Civil engineering (General)TA1-2040MathematicsQA1-939ENMathematical Problems in Engineering, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Mathematics QA1-939 Ning Zhang Xi-Xiang Xu Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation
description	Using a suitable gauge transformation matrix, we present a N-fold Darboux transformation for a Vakhnenko lattice system. This transformation preserves the form of Lax pair of the Vakhnenko lattice system. Applying the obtained Darboux transformation, we arrive at an exact solution of the Vakhnenko lattice system.
format	article
author	Ning Zhang Xi-Xiang Xu
author_facet	Ning Zhang Xi-Xiang Xu
author_sort	Ning Zhang
title	Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation
title_short	Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation
title_full	Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation
title_fullStr	Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation
title_full_unstemmed	Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation
title_sort	obtaining solutions of a vakhnenko lattice system by n-fold darboux transformation
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/3048820ec0564dbd8d8396962c585ba0
work_keys_str_mv	AT ningzhang obtainingsolutionsofavakhnenkolatticesystembynfolddarbouxtransformation AT xixiangxu obtainingsolutionsofavakhnenkolatticesystembynfolddarbouxtransformation
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Obtaining Solutions of a Vakhnenko Lattice System by N-Fold Darboux Transformation

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