Title

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

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.

Publisher

IOP Publishing

Volume

22

Issue

3

Peer Reviewed

yes