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
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.
Copyright © 1989, IOP Publishing
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.