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

Letlhogonolo Daddy Moleleki and Chaudry Masood Khalique

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: 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.

Date: 2013
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https://doi.org/10.1155/2013/548975

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:548975

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