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Periodic Traveling-Wave Solutions of Nonlinear Dispersive Evolution Equations

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journal contribution
posted on 18.12.2013, 00:00 by Hongqiu Chen, Jerry L. Bona
For a general class of nonlinear, dispersive wave equations, existence of periodic, traveling-wave solutions is studied. These traveling waveforms are the analog of the classical cnoidal-wave solutions of the Korteweg-de Vries equation. They are determined to be stable to perturbation of the same period. Their large wavelength limit is shown to be solitary waves.

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Publisher Statement

This is a copy of an article published in the Discrete and Continuous Dynamical Systems - Series A © 2013 American Institute of Mathematical Sciences. The final publication is available at http://aimsciences.org/

Publisher

American Institute of Mathematical Sciences

Language

en_US

issn

1078-0947

Issue date

01/11/2013

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Keywords

generalized cnoidal wavessolitary wavesgeneralized Korteweg-de Vries equations

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