On generalisation of the Backlund-Calogero transformations for integrable equations
- 7 August 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (15) , L743-L747
- https://doi.org/10.1088/0305-4470/21/15/001
Abstract
It is shown that the consideration of dressing (gauge) transformations non-local on all spatial variables and spectral parameters allows one to extend the class of general Backlund-Calogero transformations for the Kadomtsev-Petviashvili equation.Keywords
This publication has 12 references indexed in Scilit:
- Bilocal recursion structure of two-dimensional integrable equationsPhysics Letters A, 1987
- On the recursion operator for the KP hierarchy in two and three spatial dimensionsPhysics Letters A, 1987
- On the infinite hierarchies of symmetries and constants of motion for the Kadomtsev-Petviashvili equationPhysica D: Nonlinear Phenomena, 1987
- Nonlinear Integrable EquationsPublished by Springer Nature ,1987
- The Recursion Operator of the Kadomtsev‐Petviashvili Equation and the Squared Eigenfunctions of the Schrödinger OperatorStudies in Applied Mathematics, 1986
- Additional symmetries for integrable equations and conformal algebra representationLetters in Mathematical Physics, 1986
- Multidimensional nonlinear evolution equations and inverse scatteringPhysica D: Nonlinear Phenomena, 1986
- Subalgebras of Loop Algebras and Symmetries of the Kadomtsev-Petviashvili EquationPhysical Review Letters, 1985
- On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equationPhysica D: Nonlinear Phenomena, 1983
- Symmetries of the Two-Dimensional Korteweg-deVries EquationJournal of the Physics Society Japan, 1982