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Article
Derivation and Implicit Solution of the Harry Dym Equation and its Connections with the Korteweg-de Vries Equation
Journal of Physics A: Mathematical and General
  • Willy Hereman, University of Iowa
  • Partha P. Banerjee, University of Dayton
  • Monish Ranjan Chatterjee, University of Dayton
Document Type
Article
Publication Date
1-1-1989
Abstract

The Harry Dym equation, which is related to the classical string problem, is derived in three different ways. An implicit cusp solitary-wave solution is constructed via a simple direct method. The existing connections between the Harry Dym and the Korteweg-de Vries equations are uniformised and simplified, and transformations between their respective solutions are carried out explicitly. Whenever possible, physical insights are provided.

Inclusive pages
241-255
ISBN/ISSN
0305-4470
Comments

Permission documentation is on file.

Publisher
IOP Publishing
Peer Reviewed
Yes
Citation Information
Willy Hereman, Partha P. Banerjee and Monish Ranjan Chatterjee. "Derivation and Implicit Solution of the Harry Dym Equation and its Connections with the Korteweg-de Vries Equation" Journal of Physics A: Mathematical and General Vol. 22 Iss. 3 (1989)
Available at: http://works.bepress.com/monish_chatterjee/7/