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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, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:389017
    DOI: 10.1155/2012/389017
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    References listed on IDEAS

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    1. Zhenya Yan, 2003. "A REDUCTIONmKdVMETHOD WITH SYMBOLIC COMPUTATION TO CONSTRUCT NEW DOUBLY-PERIODIC SOLUTIONS FOR NONLINEAR WAVE EQUATIONS," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(05), pages 661-672.
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    Cited by:

    1. Wael W. Mohammed & Farah M. Al-Askar & M. El-Morshedy, 2022. "Impact of Multiplicative Noise on the Exact Solutions of the Fractional‐Stochastic Boussinesq‐Burger System," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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