New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation
AbstractIn 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. View Full-Text
This paper was processed and accepted under the editorial system of the ASR before its transfer to MDPI.
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Hong, B.; Lu, D. New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation. Math. Comput. Appl. 2016, 21, 8.
Hong B, Lu D. New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation. Mathematical and Computational Applications. 2016; 21(2):8.Chicago/Turabian Style
Hong, Baojian; Lu, Dianchen. 2016. "New Analytic Solutions for the (N + 1)-Dimensional Generalized Boussinesq Equation." Math. Comput. Appl. 21, no. 2: 8.