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Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations

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  • Isaiah Elvis Mhlanga
  • Chaudry Masood Khalique

Abstract

We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling wave hypothesis approach is used to find exact solutions of the (2+1)-dimensional Davey-Stewartson equations.

Suggested Citation

  • Isaiah Elvis Mhlanga & Chaudry Masood Khalique, 2012. "Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-8, December.
    • Handle: RePEc:hin:jnljam:389017
    DOI: 10.1155/2012/389017
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