Classification of integrable hydrodynamic chains
arXiv:1001.0020 · doi:10.1088/1751-8113/43/43/434027
Abstract
Using the method of hydrodynamic reductions, we find all integrable infinite (1+1)-dimensional hydrodynamic-type chains of shift one. A class of integrable infinite (2+1)-dimensional hydrodynamic-type chains is constructed.
20 pages, latex
References in corpus (5)
- Classification of integrable hydrodynamic chains and generating functions of conservation laws
- Integrable (2+1)-dimensional systems of hydrodynamic type
- Systems of Gibbons-Tsarev type and integrable 3-dimensional models
- Integrable pseudopotentials related to elliptic curves
- Integrable pseudopotentials related to generalized hypergeometric functions