Derivation and Implicit Solution of the Harry Dym Equation and its Connections with the Korteweg-de Vries Equation

Author(s)

Willy Hereman, University of Iowa
Partha P. Banerjee, University of DaytonFollow
Monish Ranjan Chatterjee, University of DaytonFollow

Document Type

Article

Publication Date

1989

Publication Source

Journal of Physics A: Mathematical and General

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.

Copyright

Copyright © 1989, IOP Publishing

Publisher

IOP Publishing

Volume

22

Peer Reviewed

yes

Issue

3

eCommons Citation

Hereman, Willy; Banerjee, Partha P.; and Chatterjee, Monish Ranjan, "Derivation and Implicit Solution of the Harry Dym Equation and its Connections with the Korteweg-de Vries Equation" (1989). Electrical and Computer Engineering Faculty Publications. 206.
https://ecommons.udayton.edu/ece_fac_pub/206