The extended F-expansion method and exact solutions of nonlinear PDEs

By Jianbin Liu, Kongqing Yang. 2004

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A Modified F-expansion Method for Solving Breaking Soliton Equation (2006, methodology): “Keywords: modified F-expansion method; breaking soliton equation; Riccati equation; exact solution”
A multiple exp-function method for nonlinear differential equations and its application (2010, unknown): “′ = 1 ±η2 in [9]. It has been broadly adopted in the tanh-function type methods [10, 11, 14], the Jacobi elliptic function method [32, 33], 3 the mapping method [34, 35], the F-expansion type methods [36, 37, 38] and the G′/G-expansion method [39]. Step 2 - Transforming Nonlinear PDEs: Let us procee”
A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation (2009, methodology): “2. Later it was broadly adopted in the extended tanh-function method [13, 14], the tanh-coth method [16], the F-expansion method [19], the mapping method [20, 36], and the extended F-expansion method [21, 22]. Let us proceed to consider rational functions v(η) = p(η) q(η) = pmηm +pm−1ηm−1 +···+p0 qn”