Solitary wave solutions of nonlinear wave equations

American Journal of Physics - Tập 60 Số 7 - Trang 650-654 - 1992
W. Malfliet1
1Department of Physics, University of Antwerp (UIA), B-2610 Wilrijk, Belgium

Tóm tắt

A method is proposed for obtaining traveling-wave solutions of nonlinear wave equations that are essentially of a localized nature. It is based on the fact that most solutions are functions of a hyperbolic tangent. This technique is straightforward to use and only minimal algebra is needed to find these solutions. The method is applied to selected cases.

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