The extended F-expansion method and its application for a class of nonlinear evolution equations

M.A. Abdou

Chaos, Solitons & Fractals, 2007, vol. 31, issue 1, 95-104

Abstract: By means of a simple transformation technique, we have shown that the higher-order nonlinear Schrödinger equation in nonlinear optical fibers, a new Hamiltonian amplitude equation, generalized Hirota–Satsuma coupled system and generalized ZK-BBM equation 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 nonlinear evolution equations.

Date: 2007
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:31:y:2007:i:1:p:95-104

DOI: 10.1016/j.chaos.2005.09.030

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