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Article
Interaction of Baseband and Envelope Solitary Wave Solutions of the Nonlinear Klein-Gordon Equation with Dispersion
Wave Motion
  • G. Cao, Syracuse University
  • Partha P. Banerjee, University of Dayton
Document Type
Article
Publication Date
8-1-1988
Abstract
The interaction of solitary wave solutions of the nonlinear Klein-Gordon equation for baseband and envelope propagation is numerically studied by introducing them from linear nondispersive semi-infinite regions into a finite nonlinear dispersive region which can be modeled by a cubically nonlinear Klein-Gordon equation. In both baseband and envelope cases the solitary wave solutions are unstable upon mutual interaction. Envelope propagation has less distortion after interaction, but instability in baseband case can be easily removed by incorporating a small amount of a fifth-order saturating nonlinearity in the system.
Inclusive pages
323-331
ISBN/ISSN
0165-2125
Comments

Permission documentation is on file.

Publisher
Elsevier
Peer Reviewed
Yes
Citation Information
G. Cao and Partha P. Banerjee. "Interaction of Baseband and Envelope Solitary Wave Solutions of the Nonlinear Klein-Gordon Equation with Dispersion" Wave Motion Vol. 10 Iss. 4 (1988)
Available at: http://works.bepress.com/partha_banerjee/62/