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Generalized Variational Principle for Long Water‐Wave Equation by He′s Semi‐Inverse Method
Author(s) -
Wei-Min Zhang
Publication year - 2009
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2009/925187
Subject(s) - mathematics , variational principle , partial differential equation , first order partial differential equation , inverse , mathematical analysis , nonlinear system , variational analysis , variational method , inverse problem , construct (python library) , physics , computer science , geometry , quantum mechanics , programming language
Variational principles for nonlinear partial differential equations have come to play an important role in mathematics and physics. However, it is well known that not every nonlinear partial differential equation admits a variational formula. In this paper, He's semi-inverse method is used to construct a family of variational principles for the long water-wave problem

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