TY - JOUR
T1 - The improved F-expansion method and its applications
AU - Zhang, Jin Liang
AU - Wang, Ming Liang
AU - Wang, Yue Ming
AU - Fang, Zong De
PY - 2006/1/30
Y1 - 2006/1/30
N2 - The F-expansion method has been developed recently, and is a useful tool to derive the periodic wave solutions expressed by Jacobi elliptic functions for the nonlinear evolution equations. In this Letter, the improved F-expansion method, and the condition which the improved F-expansion method can be used, are introduced. As the illustrative example, the exact solutions expressed by Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the generalized Hirota-Satsuma coupled KdV equation are derived.
AB - The F-expansion method has been developed recently, and is a useful tool to derive the periodic wave solutions expressed by Jacobi elliptic functions for the nonlinear evolution equations. In this Letter, the improved F-expansion method, and the condition which the improved F-expansion method can be used, are introduced. As the illustrative example, the exact solutions expressed by Jacobi elliptic functions, Weierstrass elliptic function, triangle functions, hyperbolic functions and other type of functions for the generalized Hirota-Satsuma coupled KdV equation are derived.
UR - http://www.scopus.com/inward/record.url?scp=30644460638&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2005.10.099
DO - 10.1016/j.physleta.2005.10.099
M3 - 文章
AN - SCOPUS:30644460638
SN - 0375-9601
VL - 350
SP - 103
EP - 109
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 1-2
ER -