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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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Bibliografiske detaljer
Hovedforfatter: Li-hua Zhang
Format: Artigo
Sprog:Inglês
Udgivet: Hindawi Limited 2014-01-01
Serier:Abstract and Applied Analysis
Online adgang:http://dx.doi.org/10.1155/2014/853578
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