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Article
A General Physical Approach to Solitary Wave Construction from Linear Solutions
Wave Motion
  • Willy Hereman, University of Iowa
  • Adrianus Korpel, University of Iowa
  • Partha P. Banerjee, University of Dayton
Document Type
Article
Publication Date
5-1-1985
Abstract
We simplify the physical approach of constructing solitary wave solutions of nondissipative evolution and wave equations from the physical mixing of the real, rather than complex, exponential solutions of the linear equation, in two separate regions. In our new approach, we use mixing in one region only to construct a closed form for the solitary wave solution valid in both regions. Moreover, we extend the approach to deal with equations whose solutions (like tanh2 -type) have a constant term in their expansion into real exponentials, and with equations whose linear part allows more than two exponential solutions. Finally, we also demonstrate the application of our technique to a typical dissipative equation, e.g., the Burgers equation.
Inclusive pages
283-289
ISBN/ISSN
0165-2125
Comments

Permission documentation is on file.

Publisher
Elsevier
Peer Reviewed
Yes
Citation Information
Willy Hereman, Adrianus Korpel and Partha P. Banerjee. "A General Physical Approach to Solitary Wave Construction from Linear Solutions" Wave Motion Vol. 7 Iss. 3 (1985)
Available at: http://works.bepress.com/partha_banerjee/16/