This article is cited in 13 papers

Several conjectures and results in the theory of integrable Hamiltonian systems of hydrodynamic type, which do not possess Riemann invariants

E. V. Ferapontov

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: We formulate several conjectures concerning the structure and general properties of the $n\times n$ integrable nondiagonalizable hamiltonian systems of hydrodynamic type. For $n=3$ our results are in fact complete: a $3\times 3$ nondiagonalizable hamiltonian system is integrable if and only if it is weakly nonlinear (linearly degenerate).

Language: English

 English version: Theoretical and Mathematical Physics, 1994, 99:2, 567–570

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