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Integrable (2+1)-dimensional systems of hydrodynamic type
dispersionless integrable system hydrodynamic reduction system of Gibbons–Tsarev type
2010/12/15
We describe the results that have so far been obtained in the classifica-tion problem for integrable (2+1)-dimensional systems of hydrodynamic type.
On compatible metrics and diagonalizability of non-locally bi-Hamiltonian systems of hydrodynamic type
hydrodynamic type bi-Hamiltonian systems
2010/4/7
We study bi-Hamiltonian systems of hydrodynamic type with non-singular (semisimple) non-local bi-Hamiltonian structures and prove that such systems of hydrodynamic type are diagonalizable. Moreover, w...