Highly Influenced

# New generalized Jacobi elliptic function rational expansion method

@article{Ali2011NewGJ, title={New generalized Jacobi elliptic function rational expansion method}, author={Ahmad T. Ali}, journal={J. Computational Applied Mathematics}, year={2011}, volume={235}, pages={4117-4127} }

- Published 2011 in J. Computational Applied Mathematics
DOI:10.1016/j.cam.2011.03.002

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 φ′2 = r + pφ2 + qφ4, 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… CONTINUE READING