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

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  • Letlhogonolo Daddy Moleleki
  • Chaudry Masood Khalique

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.

Suggested Citation

  • Letlhogonolo Daddy Moleleki & Chaudry Masood Khalique, 2013. "Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:548975
    DOI: 10.1155/2013/548975
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