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- W2091567783 abstract "Using a traveling wave reduction technique, we have shown that Maccari equation, (2+1)-dimensional nonlinear Schrödinger equation, medium equal width equation, (3+1)-dimensional modified KdV–Zakharov–Kuznetsev equation, (2+1)-dimensional long wave-short wave resonance interaction equation, perturbed nonlinear Schrödinger equation can be reduced to the same family of auxiliary elliptic-like equations. Then using extended F-expansion and projective Riccati equation methods, many types of exact traveling wave solutions are obtained. With the aid of solutions of the elliptic-like equation, more explicit traveling wave solutions expressed by the hyperbolic functions, trigonometric functions and rational functions are found out. It is shown that these methods provide a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics. A variety of structures of the exact solutions of the elliptic-like equation are illustrated." @default.
- W2091567783 created "2016-06-24" @default.
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- W2091567783 date "2014-02-21" @default.
- W2091567783 modified "2023-09-27" @default.
- W2091567783 title "Exact traveling wave solutions of some nonlinear evolution equations" @default.
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- W2091567783 doi "https://doi.org/10.1007/s40094-014-0114-z" @default.
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