The non-local delta problem and (2+1)-dimensional soliton equations
- 21 May 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (10) , L537-L544
- https://doi.org/10.1088/0305-4470/21/10/001
Abstract
A method of constructing (2+1)-dimensional non-linear integrable equations and their solutions by means of the non-local delta problem is developed. A 'basic set' of equations is obtained by using different normalisations of the non-local delta problem and the Lagrangian of the set is found. Other integrable equations, which are degenerate cases of the basic set, are also Lagrangian.Keywords
This publication has 3 references indexed in Scilit:
- On the Inverse Scattering Transform for the Kadomtsev‐Petviashvili EquationStudies in Applied Mathematics, 1983
- The inverse scattering transform for the time-dependent Schrodinger equation and Kadomtsev-Petviashvili equationPhysica D: Nonlinear Phenomena, 1981
- Unimodal germs of functions on a manifold with a boundaryFunctional Analysis and Its Applications, 1980