This article is cited in 5 papers

Universal Models of Soliton Hierarchies

A. B. Shabat

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We consider commutativity equations and a related new model similar to the Kadomtsev–Petviashvili equation in the Sato theory. Integration of this model equation with three independent variables is based on a generalization of the Dubrovin equations and the recently developed theory of transformations of spectral problems. We give examples of equations with a fractional-power dispersion law that can be linearized in this theory.

Keywords: commutativity equations, Dubrovin equations, classical hierarchies.

Received: 16.12.2002

DOI: 10.4213/tmf225

 English version: Theoretical and Mathematical Physics, 2003, 136:2, 1066–1076

Bibliographic databases:

• 
• 
• 
•