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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.