Derivation and Implicit Solution of the Harry Dym Equation and its Connections with the Korteweg-de Vries EquationJournal of Physics A: Mathematical and General
AbstractThe 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.
CopyrightCopyright © 1989, IOP Publishing
Citation InformationWilly 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/partha_banerjee/44/