Interaction of Baseband and Envelope Solitary Wave Solutions of the Nonlinear Klein-Gordon Equation with Dispersion

Author(s)

G. Cao, Syracuse University
Partha P. Banerjee, University of DaytonFollow

Document Type

Article

Publication Date

8-1988

Publication Source

Wave Motion

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.

Copyright

Copyright © 1988, Elsevier

Publisher

Elsevier

Volume

10

Peer Reviewed

yes

Issue

4

eCommons Citation

Cao, G. and Banerjee, Partha P., "Interaction of Baseband and Envelope Solitary Wave Solutions of the Nonlinear Klein-Gordon Equation with Dispersion" (1988). Electrical and Computer Engineering Faculty Publications. 207.
https://ecommons.udayton.edu/ece_fac_pub/207