Transformations of integrable hydrodynamic chains and their hydrodynamic reductions
arXiv:nlin/0604050
Abstract
Hydrodynamic reductions of the hydrodynamic chain associated with dispersionless limit of 2+1 Harry Dym equation are found by the Miura type and reciprocal transformations applied to the Benney hydrodynamic chain.
References in corpus (6)
- On integrability of (2+1)-dimensional quasilinear systems
- Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type
- On the Miura map between the dispersionless KP and dispersionless modified KP hierarchies
- The Hamiltonian approach in classification and integrability of hydrodynamic chains
- The Kupershmidt hydrodynamic chains and lattices
- Hydrodynamic Reductions of Dispersionless Harry Dym Hierarchy