Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation

Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained...

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Main Authors:	Wenjuan Rui, Yufeng Zhang
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2014/424059

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spelling	doaj-bd9a38fe160d44db9693d8b344cff86b2020-11-24T23:02:56ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/424059424059Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable EquationWenjuan Rui0Yufeng Zhang1College of Science, China University of Mining and Technology, Xuzhou 221116, ChinaCollege of Science, China University of Mining and Technology, Xuzhou 221116, ChinaBinary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively.http://dx.doi.org/10.1155/2014/424059
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wenjuan Rui Yufeng Zhang
spellingShingle	Wenjuan Rui Yufeng Zhang Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation Abstract and Applied Analysis
author_facet	Wenjuan Rui Yufeng Zhang
author_sort	Wenjuan Rui
title	Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
title_short	Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
title_full	Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
title_fullStr	Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
title_full_unstemmed	Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation
title_sort	bäcklund transformation and quasi-periodic solutions for a variable-coefficient integrable equation
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2014-01-01
description	Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively.
url	http://dx.doi.org/10.1155/2014/424059
work_keys_str_mv	AT wenjuanrui backlundtransformationandquasiperiodicsolutionsforavariablecoefficientintegrableequation AT yufengzhang backlundtransformationandquasiperiodicsolutionsforavariablecoefficientintegrableequation
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Bäcklund Transformation and Quasi-Periodic Solutions for a Variable-Coefficient Integrable Equation

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