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Conservation Laws, Symmetry Reductions, and New Exact Solutions of the (2 + 1)-Dimensional Kadomtsev-Petviashvili Equation with Time-Dependent Coefficients

The (2 + 1)-dimensional Kadomtsev-Petviashvili equation with time-dependent coefficients is investigated. By means of the Lie group method, we first obtain several geometric symmetries for the equation in terms of coefficient functions and arbitrary functions of t. Based on the obtained symmetries,...

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Autor principal: Li-hua Zhang
Formato: Artigo
Idioma:Inglês
Publicado em: Hindawi Limited 2014-01-01
Colecção:Abstract and Applied Analysis
Acesso em linha:http://dx.doi.org/10.1155/2014/853578
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