Classification of integrable hydrodynamic chains

Details Classification of integrable hydrodynamic chains Classification of integrable hydrodynamic chains

2009-12-30

arxiv.org/abs/1001.0020v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, latex

Scientific paper

Using the method of hydrodynamic reductions, we find all integrable infinite
(1+1)-dimensional hydrodynamic-type chains of shift one. A class of integrable
infinite (2+1)-dimensional hydrodynamic-type chains is constructed.

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