X - International Journal of Information Science and Computer Mathematics (Closed Ed TRF)
Volume 3, Issue 2, Pages 109 - 118
(May 2011)
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DOUBLY PERIODIC SOLUTIONS FOR THE
-DIMENSIONAL DAVEY-STEWARTSON EQUATION
Xue-Qin Zhao, Fanwei Meng and Chengdong Tian
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Abstract:
In this paper, we present a new extended Jacobi elliptic function expansion (EJEFE) method to uniformly construct exact doubly periodic solutions in terms of rational formal Jacobi elliptic function of nonlinear evolution equations (NLEEs). For illustration, we apply the extended method to the  -dimensional Davey-Stewartson equation and successfully obtain abundant new doubly periodic solutions. |
| Keywords and phrases: exact solutions Davey-Stewartson equation. |
| Communicated by Kewen Zhao |
| Number of Downloads: 57 | Number of Views: 229 |
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