4.1 Article

Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation

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ABSTRACT AND APPLIED ANALYSIS
Volume -, Issue -, Pages -

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HINDAWI PUBLISHING CORPORATION
DOI: 10.1155/2013/548975

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We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional Boussinesq equation. Furthermore, the new conservation theorem due to Ibragimov will be utilized to construct the conservation laws of the (2+1)-dimensional Boussinesq equation.

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