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arxiv: 1001.0020 · v2 · pith:5QBBNMG2new · submitted 2009-12-30 · 🌊 nlin.SI · math.AP

Classification of integrable hydrodynamic chains

classification 🌊 nlin.SI math.AP
keywords chainsintegrabledimensionalhydrodynamichydrodynamic-typeinfiniteclassclassification
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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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