Derivation and Implicit Solution of the Harry Dym Equation, and Its Connections with the Korteweg-De Vries Equation
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1988
- Accession Number
- ADA196053
Entities
People
- M. R. Chatterjee
- P. P. Banerjee
- W. Hereman
Organizations
- University of Wisconsin–Madison