Matrix-bipolar asymptotic modules for solving (2+1)-dimensional non-linear evolution equations with constraints
- 7 November 1988
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 21 (21) , L1019-L1024
- https://doi.org/10.1088/0305-4470/21/21/004
Abstract
An infinite hierarchy of solvable systems of purely differential non-linear equations is introduced within the framework of asymptotic modules. Each system consists of (2+1)-dimensional evolution equations for at most four complex functions and of quite strong differential constraints. It may be interpreted formally as an integro-differential equation in (1+1) dimensions.Keywords
This publication has 5 references indexed in Scilit:
- An integrable (2+1)-dimensional generalisation of the Volterra modelJournal of Physics A: General Physics, 1988
- delta equations in the theory of integrable systemsInverse Problems, 1988
- The ‘‘spectral Wronskian’’ tool and the ∂̄ investigation of the KdV hierarchyJournal of Mathematical Physics, 1987
- The spatial transform method: derivation of the AKNS hierarchyPhysics Letters A, 1986
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear ProblemsStudies in Applied Mathematics, 1974