The resolution of the stochastic generalized Boussinesq equation driven by a white noise is undertaken. Explicit solutions are found thanks to a white noise functional approach and the F-expansion method. Among these solutions, periodic and solitonic ones are pointed out.
New exact solutions for an -dimensional generalized Boussinesq equation
β Scribed by Yunxi Guo; Shaoyong Lai
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 614 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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β¦ Synopsis
The auxiliary differential equation approach and the symbolic computation system Maple are employed to investigate an (N + 1)-dimensional generalized Boussinesq equation. The exact solutions to the equation are constructed analytically under certain circumstances. It is shown that many of the solutions obtained in this work are new solutions.
π SIMILAR VOLUMES
A technique based on the reduction of order for solving differential equations is employed to investigate a generalized nonlinear Boussinesq wave equation. The compacton solutions, solitons, solitary pattern solutions, periodic solutions and algebraic travelling wave solutions for the equation are e