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Prof. Reda Gamal Abd El –Rahman Khaled :: Publications: |
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| Title: | A generalized Weierstrass elliptic function expansion method for solving some nonlinear partial differential equations |
| Authors: | E.A. Saied; Reda G. Abd El-Rahman; Marwa I. Ghonamy |
| Year: | 2009 |
| Keywords: | Weierstrass elliptic function solutions; First-kind elliptic equation; Periodic solutions; mKdV equation; KP equation |
| Journal: | Computers & Mathematics with Applications |
| Volume: | 58 |
| Issue: | 9 |
| Pages: | 1725–1735 |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Not Available |
| Supplementary materials | Not Available |
| Abstract: |
The present paper deals with families of non-trivial solutions of the equation (ddξw)2=Pw4(ξ)+Qw2(ξ)+R. On the basis of these solutions, a direct and generalized algebraic algorithm is described for constructing the new solutions of some nonlinear partial differential equations (NLPDEs). Subsequently, many new and more general exact solutions in terms of the Weierstrass elliptic function ℘(ξ;g2,g3)℘(ξ;g2,g3) are obtained. The method can be applied to other NLPDEs in mathematical physics. |
