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

Letlhogonolo Daddy Moleleki and Chaudry Masood Khalique

Advances in Mathematical Physics, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:672679

DOI: 10.1155/2014/672679

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