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Article
Exact Solitary Wave Solutions of Nonlinear Evolution and Wave Equations using a Direct Algebraic Method
Journal of Physics A: Mathematical and General
  • Willy Hereman, University of Iowa
  • Partha P. Banerjee, University of Dayton
  • Adrianus Korpel, University of Iowa
  • Gaetano Assanto, Universitiá degli Studi di Palermo
  • A. Van Immerzeele, Instituut voor Theoretische Mechanica
  • A. Meerpoel, Instituut voor Theoretische Mechanica
Document Type
Article
Publication Date
1-1-1986
Abstract
The authors present a systematic and formal approach toward finding solitary wave solutions of nonlinear evolution and wave equations from the real exponential solutions of the underlying linear equations. The physical concept is one of the mixing of these elementary solutions through the nonlinearities in the system. The emphasis is, however, on the mathematical aspects, i.e. the formal procedure necessary to find single solitary wave solutions. By means of examples it is shown how various cases of pulse-type and kink-type solutions are to be obtained by this method. An exhaustive list of equations so treated is presented in tabular form, together with the particular intermediate relations necessary for deriving their solutions. The extension of the technique to construct N-soliton solutions and indicate connections with other existing methods is outlined.
Inclusive pages
607-628
ISBN/ISSN
0305-4470
Comments

Permission documentation is on file.

Publisher
IOP Publishing
Peer Reviewed
Yes
Citation Information
Willy Hereman, Partha P. Banerjee, Adrianus Korpel, Gaetano Assanto, et al.. "Exact Solitary Wave Solutions of Nonlinear Evolution and Wave Equations using a Direct Algebraic Method" Journal of Physics A: Mathematical and General Vol. 19 Iss. 5 (1986)
Available at: http://works.bepress.com/partha_banerjee/51/