article
Solitary wave solutions of nonlinear wave equations
American Journal of Physics · 1992 · Vol. 60(7) · pp. 650–654
W. Malfliet✉(University of Antwerp)
Abstract
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.
Advanced Fiber Optic SensorsNonlinear Photonic SystemsNonlinear Waves and SolitonsPhysicsNonlinear systemHyperbolic functionTangentTraveling waveMathematical analysisPeriodic waveWave equationClassical mechanicsQuantum mechanics
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