Symmetries, Traveling Wave Solutions, and Conservation Laws of a(3+1)-Dimensional Boussinesq Equation | Zendy

Letlhogonolo Daddy Moleleki | Zendy; Chaudry Masood Khalique | Zendy

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Symmetries, Traveling Wave Solutions, and Conservation Laws of a(3+1)-Dimensional Boussinesq Equation

Author(s) -

Letlhogonolo Daddy Moleleki,

Chaudry Masood Khalique

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/672679

Subject(s) - algorithm , conservation law , physics , artificial intelligence , computer science , quantum mechanics

We analyze the (3+1)-dimensional Boussinesq equation, which has applications in fluid mechanics. We find exact solutions of the (3+1)-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 (3+1)-dimensional Boussinesq equation using the new conservation theorem, which is due to Ibragimov

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