TY - JOUR
T1 - Weierstrass semi-rational expansion method and new doubly periodic solutions of the generalized Hirota-Satsuma coupled KdV system
AU - Chen, Yong
AU - Yan, Zhenya
PY - 2006/6/1
Y1 - 2006/6/1
N2 - In the paper, with the aid of symbolic computation, we investigate the generalized Hirota-Satsuma coupled KdV system via our Weierstrass semi-rational expansion method presented recently using the rational expansion of Weierstrass elliptic function and its first-order derivative. As a consequence, three families of new Weierstrass elliptic function solutions via Weierstrass elliptic function ℘(ξ; g2, g3) and its first-order derivative ℘′(ξ; g2, g3). Moreover, the corresponding new Jacobi elliptic function solutions and solitary wave solutions are also presented, and when ξ → ∞, these solitary wave solutions approach to some constants.
AB - In the paper, with the aid of symbolic computation, we investigate the generalized Hirota-Satsuma coupled KdV system via our Weierstrass semi-rational expansion method presented recently using the rational expansion of Weierstrass elliptic function and its first-order derivative. As a consequence, three families of new Weierstrass elliptic function solutions via Weierstrass elliptic function ℘(ξ; g2, g3) and its first-order derivative ℘′(ξ; g2, g3). Moreover, the corresponding new Jacobi elliptic function solutions and solitary wave solutions are also presented, and when ξ → ∞, these solitary wave solutions approach to some constants.
UR - https://www.scopus.com/pages/publications/33744529597
U2 - 10.1016/j.amc.2005.10.037
DO - 10.1016/j.amc.2005.10.037
M3 - 文章
AN - SCOPUS:33744529597
SN - 0096-3003
VL - 177
SP - 85
EP - 91
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -