A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation

Ji-Huan He systematically studied the inverse problem of calculus of variations. This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.

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Main Authors: Li Yao, Yun-Jie Yang, Xing-Wei Zhou
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/931643
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author Li Yao
Yun-Jie Yang
Xing-Wei Zhou
author_facet Li Yao
Yun-Jie Yang
Xing-Wei Zhou
author_sort Li Yao
collection DOAJ
description Ji-Huan He systematically studied the inverse problem of calculus of variations. This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-ac4ec0dc6b2147a2852571f1644fb72d2025-02-03T05:51:05ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/931643931643A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV EquationLi Yao0Yun-Jie Yang1Xing-Wei Zhou2Department of Mathematics, Kunming University, 2 Puxin Road, Kunming, Yunnan 650214, ChinaDepartment of Mathematics, Kunming University, 2 Puxin Road, Kunming, Yunnan 650214, ChinaDepartment of Mathematics, Kunming University, 2 Puxin Road, Kunming, Yunnan 650214, ChinaJi-Huan He systematically studied the inverse problem of calculus of variations. This note reveals that the semi-inverse method also works for a generalized KdV-mKdV equation with nonlinear terms of any orders.http://dx.doi.org/10.1155/2013/931643
spellingShingle Li Yao
Yun-Jie Yang
Xing-Wei Zhou
A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation
Abstract and Applied Analysis
title A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation
title_full A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation
title_fullStr A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation
title_full_unstemmed A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation
title_short A Note on the Semi-Inverse Method and a Variational Principle for the Generalized KdV-mKdV Equation
title_sort note on the semi inverse method and a variational principle for the generalized kdv mkdv equation
url http://dx.doi.org/10.1155/2013/931643
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