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

By means of a simple transformation technique, we have shown that the higher-order nonlinear Schrodinger 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. (c) 2005 Elsevier Ltd. All rights reserved.