Integrable hydrodynamic chains. (English) Zbl 1062.37078
Summary: A new approach for derivation of Benney-type moment chains and integrable hydrodynamic-type systems is presented. New integrable hydrodynamic chains are constructed; all their hydrodynamical reductions are described and integrated. New \((2 + 1)\) integrable hydrodynamic-type systems are found.
MSC:
| 37K10 | Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) |
| 35Q58 | Other completely integrable PDE (MSC2000) |
| 37K25 | Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry |
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