SEVERAL CONJECTURES AND RESULTS IN THE THEORY OF INTEGRABLE HAMILTONIAN-SYSTEMS OF HYDRODYNAMIC TYPE, WHICH DO NOT POSSESS RIEMANN INVARIANTS

被引：19

作者：

FERAPONTOV, EV

机构：

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1994年 / 99卷 / 02期

关键词：

D O I：

10.1007/BF01016140

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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

引用

页码：567 / 570

页数：4

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