A General Physical Approach to Solitary Wave Construction from Linear Solutions

Author(s)

Willy Hereman, University of Iowa
Adrianus Korpel, University of Iowa
Partha P. Banerjee, University of DaytonFollow

Document Type

Article

Publication Date

5-1985

Publication Source

Wave Motion

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.

Copyright

Copyright © 1985, Elsevier

Publisher

Elsevier

Volume

7

Peer Reviewed

yes

Issue

3

eCommons Citation

Hereman, Willy; Korpel, Adrianus; and Banerjee, Partha P., "A General Physical Approach to Solitary Wave Construction from Linear Solutions" (1985). Electrical and Computer Engineering Faculty Publications. 213.
https://ecommons.udayton.edu/ece_fac_pub/213