Letlhogonolo Moleleki - Academia.edu (original) (raw)

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Papers by Letlhogonolo Moleleki

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

Abstract and Applied Analysis, 2013

ABSTRACT We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensio... more ABSTRACT 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.

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

Advances in Mathematical Physics, 2014

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

Abstract and Applied Analysis, 2013

ABSTRACT We study a nonlinear evolution partial differential equation, namely, the (2+1)-dimensio... more ABSTRACT 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.

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

Advances in Mathematical Physics, 2014

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