Solutions and conservation laws of a \((2+1)\)-dimensional Boussinesq equation
Summary: 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.
scientific article; zbMATH DE number 6306999
scientific article