The extended F-expansion method and its application for a class of nonlinear evolution equations |
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Affiliation: | 1. Department of Physics and Engineering Mathematics, Higher Institute of Engineering and Technology, Tanta, Egypt;2. Department of Physics and Engineering Mathematics, Higher Institute of Engineering El Shorouk Academy, El-Shorouk city, Cairo, Egypt |
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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. |
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