Periodic Traveling-Wave Solutions of Nonlinear Dispersive Evolution Equations
journal contributionposted 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.