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Relativistic solitary-wave solutions of the beat-wave equations
The Physics of Fluids, 1988In the beat-wave accelerator [Phys. Rev. Lett. 43, 267 (1979)], a large-amplitude Langmuir wave is produced by the beating of two laser beams whose frequencies differ by approximately the plasma frequency. The relativistic equations governing this three-wave interaction are shown to admit two types of solitary-wave solutions.
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An exact numerical solution of the solitary wave
2008The solitary wave, first studied in the field by J. Scott Russell, is an elevation of the water surface moving with essentially constant form at a celerity dependent upon the ratio a of its height to the depth of water upon which it propagates. The fore and aft portions of its profile are symmetrical, and gradually approach the undisturbed water ...
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Solitary wave solutions for the regularized long-wave equation
Physics of Wave Phenomena, 2012The regularized long-wave equation has been solved numerically using the collocation method based on the Adams-Moulton method for the time integration and quintic B-spline functions for the space integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves.
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New Exact Solitary Wave Solutions of the KS Equation
International Journal of Theoretical Physics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Solitary Wave Solutions of the Driven and Damped Three-Wave Problem
physica status solidi (b), 1985R. H. Enns, S. S. Rangnekar
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Solitary wave solutions of hierarchy with non-local nonlinearity
Applied Mathematics Letters, 2020Nikolay A Kudryashov
exaly
Novel solitary wave solutions for the (3+1)-dimensional extended Jimbo–Miwa equations
Computers and Mathematics With Applications, 2018Jalil Manafian
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Solitary Wave Solutions and Their Properties
Timothy J. Burchell, Thomas J. Bridgesopenaire +1 more source

