Towards classification of ?-dimensional integrable equations. Integrability conditions I
Abstract
In this paper we attempt to extend the symmetry approach (well developed in the case of (1 + 1)-dimensional equations) to the (2 + 1)-dimensional case. Presence of nonlocal terms in symmetries and conservation laws is the main feature of integrable (2 + 1)-dimensional equations. We have introduced a concept of quasi-local functions to characterize nonlocalities. We have found a few first integrability conditions for a class of scalar equations in terms of quasi-local functions and have demonstrated that they are suitable for testing integrability.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- August 1998
- DOI:
- 10.1088/0305-4470/31/31/015
- Bibcode:
- 1998JPhA...31.6707M