The improved F -expansion method and its applications
By Jinliang Zhang, Mingliang Wang, Yueming Wang, Z. Fang. 2006
284 citations recorded by the source corpus.
Abstract 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.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/f4b1fcf48430bd76683a3a1c311acecca48161ac
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In Statistical and Nonlinear Physics
Citations in the corpus
- Application of the Exp‐function method for solving a partial differential equation arising in biology and population genetics (2011, unknown): “, 2008;Wazwaz, 2006), F-expansion method (Abdou, 2007; Zhang et al., 2006), Jacobi elliptic functionmethod (Dai and Zhang, 2006; Fan and Zhang, 2002), tanh-function method (Fan, 2000; Bai and Zhao, 2006), tanh-cothmethod (Wazwaz, 2007b, 2008a), Bäcklund transformation (Menga et al.”
- The exp(-φ(ξ))-Expansion Method and Its Application for Solving Nonlinear Evolution Equations (2015, methodology): “Recently many new approaches for finding these solutions have been proposed, for example, tanh - sech method [2]-[4], extended tanh - method [5]-[7], sine - cosine method [8]-[10], homogeneous balance method [11, 12], the modified simple equation [13] ,F-expansion method [14]-[15], exp-function meth”