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Article
A Heuristic Guide to Nonlinear Dispersive Wave Equations and Soliton-Type Solutions
Proceedings of the IEEE
  • Adrianus Korpel, University of Iowa
  • Partha P. Banerjee, University of Dayton
Document Type
Article
Publication Date
9-1-1984
Abstract

In this paper we present a heuristic way of constructing nonlinear dispersive equations that lead to soliton or soliton-type solutions. We assume only that a general knowledge of the dispersion relation of the system is known, together with some insight into the effect of nonlinearity on wave speed. We show that such knowledge is sufficient to derive most known soliton equations and thus to provide the engineer with a quick way to assess whether or not his particular system is likely to exhibit soliton behavior. Naturally, a more detailed description requires knowledge of the basic equations governing the system and special techniques to handle initial conditions. To that purpose we provide the reader with ample references which he may want to consult in order to augment the information gained by the method outlined in this paper.

Inclusive pages
1109-1130
ISBN/ISSN
0018-9219
Comments

Permission documentation is on file.

Publisher
IEEE
Peer Reviewed
Yes
Citation Information
Adrianus Korpel and Partha P. Banerjee. "A Heuristic Guide to Nonlinear Dispersive Wave Equations and Soliton-Type Solutions" Proceedings of the IEEE Vol. 72 Iss. 9 (1984)
Available at: http://works.bepress.com/partha_banerjee/15/