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

作者：Hong Baojian^*; Lu Dianchen

来源：Mathematical and Computational Applications, 2016, 21(2): 8.

DOI：10.3390/mca21020008

• Analytic solution
• Boussinesq equations
• Expansion methods
• Jacobi elliptic function solutions
• Soliton-like solution

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.

• 出版日期2016
• 单位南京工程学院