Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation | Zendy

Letlhogonolo Daddy Moleleki | Zendy; Chaudry Masood Khalique | Zendy

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Solutions and Conservation Laws of a (2+1)-Dimensional Boussinesq Equation

Author(s) -

Letlhogonolo Daddy Moleleki,

Chaudry Masood Khalique

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/548975

Subject(s) - conservation law , mathematics , partial differential equation , boussinesq approximation (buoyancy) , symmetry (geometry) , first order partial differential equation , mathematical analysis , nonlinear system , differential equation , physics , geometry , rayleigh number , thermodynamics , convection , natural convection , quantum mechanics

We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensional Boussinesq equation. For the first time Lie symmetry method together with simplest equation method is used to find the exact solutions of the (2+1)-dimensional Boussinesq equation. Furthermore, the new conservation theorem due to Ibragimov will be utilized to construct the conservation laws of the (2+1)-dimensional Boussinesq equation

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