A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method

A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method

Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions...

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Main Authors: Ting Su, Hui Hui Dai
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2018/7286574
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spelling doaj-590dd85c3c334ab99b5a29fc9bc4465e2021-07-02T05:41:08ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392018-01-01201810.1155/2018/72865747286574A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing MethodTing Su0Hui Hui Dai1Department of Mathematical and Physical Science, Henan Institute of Engineering, Zhengzhou, ChinaDepartment of Mathematics, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon, Hong KongBased on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions are drawn.http://dx.doi.org/10.1155/2018/7286574
collection DOAJ
language English
format Article
sources DOAJ
author Ting Su
Hui Hui Dai
spellingShingle Ting Su
Hui Hui Dai
A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
Advances in Mathematical Physics
author_facet Ting Su
Hui Hui Dai
author_sort Ting Su
title A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
title_short A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
title_full A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
title_fullStr A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
title_full_unstemmed A New Integrable Variable-Coefficient 2+1-Dimensional Long Wave-Short Wave Equation and the Generalized Dressing Method
title_sort new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and the generalized dressing method
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2018-01-01
description Based on the generalized dressing method, we propose a new integrable variable-coefficient 2+1-dimensional long wave-short wave equation and derive its Lax pair. Using separation of variables, we have derived the explicit solutions of the equation. With the aid of Matlab, the curves of the solutions are drawn.
url http://dx.doi.org/10.1155/2018/7286574
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AT huihuidai anewintegrablevariablecoefficient21dimensionallongwaveshortwaveequationandthegeneralizeddressingmethod
AT tingsu newintegrablevariablecoefficient21dimensionallongwaveshortwaveequationandthegeneralizeddressingmethod
AT huihuidai newintegrablevariablecoefficient21dimensionallongwaveshortwaveequationandthegeneralizeddressingmethod
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