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Classification of integrable hydrodynamic chains and generating functions of conservation laws

Maxim V. Pavlov
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Abstract

New approach to classification of integrable hydrodynamic chains is established. Generating functions of conservation laws are classified by the method of hydrodynamic reductions. N parametric family of explicit hydrodynamic reductions allows to reconstruct corresponding hydrodynamic chains. Plenty new hydrodynamic chains are found.

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Maxim V. Pavlov. 2006-03-31. Classification of integrable hydrodynamic chains and generating functions of conservation laws. https://doi.org/10.1088/0305-4470%2F39%2F34%2F014

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