New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation

[摘要] In this paper, the generalized Jacobi elliptic functions expansion method with computerized symbolic computation are employed to investigate explicitly analytic solutions of the (N + 1)-dimensional generalized Boussinesq equation. The exact solutions to the equation are constructed analytically under certain circumstances, some of these solutions are degenerated to soliton-like solutions and trigonometric function solutions in the limit cases when the modulus of the Jacobi elliptic function solutions tends to 0 and 1, which shows that the applied method is more powerful and will be used in further works to establish more entirely new exact solutions for other kinds of higher-dimensional nonlinear partial differential equations in mathematical physics.

[学科分类] 计算数学

[关键词] generalized Jacobi elliptic functions expansion method;generalized Boussinesq equation;analytic solutions;soliton-like solutions;Jacobi elliptic function solutions