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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2013-01-01
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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 |
id | doaj-art-ac4ec0dc6b2147a2852571f1644fb72d |
institution | Kabale University |
issn | 1085-3375 1687-0409 |
language | English |
publishDate | 2013-01-01 |
publisher | Wiley |
record_format | Article |
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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