New generalized Jacobi elliptic function rational expansion method |
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Authors: | Ahmad T. Ali |
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Affiliation: | King Abdul Aziz University, Faculty of Science, Department of Mathematics, PO Box 80203, Jeddah, 21589, Saudi Arabia Al-Azhar University, Faculty of Science, Mathematics Department, Nasr City, 11448, Cairo, Egypt |
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Abstract: | In this work, a new generalized Jacobi elliptic function rational expansion method is based upon twenty-four Jacobi elliptic functions and eight double periodic Weierstrass elliptic functions, which solve the elliptic equation ?′2=r+p?2+q?4, is described. As a consequence abundant new Jacobi-Weierstrass double periodic elliptic functions solutions for (3+1)-dimensional Kadmtsev-Petviashvili (KP) equation are obtained by using this method. We show that the new method can be also used to solve other nonlinear partial differential equations (NPDEs) in mathematical physics. |
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Keywords: | New generalized Jacobi elliptic function expansion method Solitary wave solutions (3+1)-dimensional Kadmtsev-Petviashvili equation |
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