The Investigation of New Solutions to Two Coupled Nonlinear Wave Equations Via a Weierstrass Semi-Rational Expansion Method
نویسنده
چکیده
In this paper a new Weierstrass semi-rational expansion method is developed via the Weierstrass elliptic function ℘(ξ; g2, g3). With the aid of Maple, we choose the coupled water wave equation and the generalized Hirota-Satsuma coupled KdV equation to illustrate the method. As a consequence, it is shown that the method is powerful to obtain many types of new doubly periodic solutions in terms of the Weierstrass elliptic function. Moreover the corresponding new Jacobi elliptic function solutions are also given. PACS: 02.30.Jr; 02.70.Wv
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