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Download filePeriodic Traveling-Wave Solutions of Nonlinear Dispersive Evolution Equations
journal contribution
posted on 18.12.2013, 00:00 authored by Hongqiu Chen, Jerry L. BonaFor 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.