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Symmetries, Traveling Wave Solutions, and Conservation Laws of a -Dimensional Boussinesq Equation

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  • Letlhogonolo Daddy Moleleki
  • Chaudry Masood Khalique

Abstract

We analyze the -dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the -dimensional Boussinesq equation by utilizing the Lie symmetry method along with the simplest equation method. The solutions obtained are traveling wave solutions. Moreover, we construct the conservation laws of the -dimensional Boussinesq equation using the new conservation theorem, which is due to Ibragimov.

Suggested Citation

  • Letlhogonolo Daddy Moleleki & Chaudry Masood Khalique, 2014. "Symmetries, Traveling Wave Solutions, and Conservation Laws of a -Dimensional Boussinesq Equation," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-8, July.
    • Handle: RePEc:hin:jnlamp:672679
    DOI: 10.1155/2014/672679
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