The extended \(F\)-expansion method and its application for solving the nonlinear wave, CKGZ, GDS, DS and GZ equations. (English) Zbl 1145.35455

Summary: By using a simple transformation technique, we have shown that the nonlinear wave equation, the coupled Klein-Gordon-Zakharov (CKGZ) equations, the generalized Davey-Stewartson (GDS) equations, the Davey-Stewartson (DS) equations, the generalized Zakharov (GZ) equations can be reduced to the elliptic-like equation. Then, the extended \(F\)-expansion method is used to obtain a series of solutions including the single and the combined nondegenerative Jacobi elliptic function solutions and their degenerative solutions to the above mentioned class of NLPDEs.


35Q53 KdV equations (Korteweg-de Vries equations)
35Q40 PDEs in connection with quantum mechanics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
Full Text: DOI


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