New Exact Jacobi Elliptic Function Solutions for the Coupled Schrödinger-Boussinesq Equations
A general algebraic method based on the generalized Jacobi elliptic functions expansion method, the improved general mapping deformation method, and the extended auxiliary function method with computerized symbolic computation is proposed to construct more new exact solutions for coupled Schrödinger...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/170835 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | A general algebraic method based on the generalized Jacobi elliptic functions expansion
method, the improved general mapping deformation method, and the extended auxiliary function method
with computerized symbolic computation is proposed to construct more new exact solutions for coupled
Schrödinger-Boussinesq equations. As a result, several families of new generalized Jacobi elliptic function
wave solutions are obtained by using this method, some of them are degenerated to solitary wave
solutions and trigonometric function solutions in the limited cases, which shows that the general method
is more powerful than plenty of traditional methods and will be used in further works to establish more
entirely new solutions for other kinds of nonlinear partial differential equations arising in mathematical
physics. |
|---|---|
| ISSN: | 1110-757X 1687-0042 |