Pavlov, Maxim V. Classification of integrable hydrodynamic chains and generating functions of conservation laws. (English) Zbl 1098.35097 J. Phys. A, Math. Gen. 39, No. 34, 10803-10819 (2006). Summary: A new approach to classification of integrable hydrodynamic chains is established. Generating functions of conservation laws are classified by the method of hydrodynamic reductions. The \(N\) parametric family of explicit hydrodynamic reductions allows us to reconstruct corresponding hydrodynamic chains. Many new hydrodynamic chains are found. Cited in 12 Documents MSC: 35L40 First-order hyperbolic systems 35L65 Hyperbolic conservation laws 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Keywords:method of hydrodynamic reductions PDFBibTeX XMLCite \textit{M. V. Pavlov}, J. Phys. A, Math. Gen. 39, No. 34, 10803--10819 (2006; Zbl 1098.35097) Full Text: DOI arXiv