Abstract and Applied Analysis (Jan 2013)

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

  • Letlhogonolo Daddy Moleleki,
  • Chaudry Masood Khalique

DOI
https://doi.org/10.1155/2013/548975
Journal volume & issue
Vol. 2013

Abstract

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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.