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- Title
Universal Models of Soliton Hierarchies.
- Authors
Shabat, A. B.
- 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.
- Subjects
COMMUTATION relations (Quantum mechanics); SOLITONS; NONLINEAR theories; THEORY of wave motion; EQUATIONS; ABELIAN semigroups
- Publication
Theoretical & Mathematical Physics, 2003, Vol 136, Issue 2, p1066
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1023/A:1025057719859