New generalized Jacobi elliptic function expansion method |
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| Affiliation: | 1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University, Abbassia, Cairo, Egypt;2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, El-Shorouk City, Cairo, Egypt |
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| Abstract: | A new generalized Jacobi elliptic function expansion method is described and used for constructing many new exact travelling wave solutions for nonlinear partial differential equations (PDEs) in a unified way. We obtain many new Jacobi and Weierstrass double periodic elliptic function solutions for (3 + 1)-dimensional Kadmtsev–Petviashvili (KP) equation. This method can be applied to many other equations. |
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