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New generalized Jacobi elliptic function rational expansion method

✍ Scribed by Ahmad T. Ali

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
674 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 Ο† β€²2

= r + pφ 2 + qφ 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.

πŸ“œ SIMILAR VOLUMES

Extended Jacobi elliptic function expans
Extended Jacobi elliptic function expansion method and its applications
✍ Huiqun Zhang πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 161 KB

In this letter, an extended Jacobi elliptic function expansion method is proposed for constructing the exact solutions of nonlinear wave equations. The validity and reliability of the method is tested by its applications to some nonlinear wave equations. New exact solutions are found.