The well known link between Korteweg-de Vries and HD (Harry Dym) equations is improved in this paper by the introduction of a suitable spectral parameter in the corresponding Backlund relationship. This additional spectral parameter allows the complete transfer of the group theoretical structure between the two equations. As an application we give new solutions of the UD on finite intervals. Several plots are included. The method of solution is also applied to the Kawamoto equation.

Explicit solutions for the Harry Dym equation / B., Fuchssteiner; T., Schulze; Carillo, Sandra. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 25:A(1992), pp. 223-230. [10.1088/0305-4470/25/1/025]

Explicit solutions for the Harry Dym equation

CARILLO, Sandra
1992

Abstract

The well known link between Korteweg-de Vries and HD (Harry Dym) equations is improved in this paper by the introduction of a suitable spectral parameter in the corresponding Backlund relationship. This additional spectral parameter allows the complete transfer of the group theoretical structure between the two equations. As an application we give new solutions of the UD on finite intervals. Several plots are included. The method of solution is also applied to the Kawamoto equation.
1992
nonlinear evolution equations; Harry Dym equation
01 Pubblicazione su rivista::01a Articolo in rivista
Explicit solutions for the Harry Dym equation / B., Fuchssteiner; T., Schulze; Carillo, Sandra. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - STAMPA. - 25:A(1992), pp. 223-230. [10.1088/0305-4470/25/1/025]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/391552
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