Classification of integrable hydrodynamic chains
Abstract
Using the method of hydrodynamic reductions, we find all integrable infinite (1+1)-dimensional hydrodynamic-type chains of shift 1. A class of integrable infinite (2+1)-dimensional hydrodynamic-type chains is constructed.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- October 2010
- DOI:
- arXiv:
- arXiv:1001.0020
- Bibcode:
- 2010JPhA...43Q4027O
- Keywords:
-
- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematics - Analysis of PDEs
- E-Print:
- 20 pages, latex