Martínez Alonso, Luis; Shabat, A. B. Hydrodynamic reductions and solutions of a universal hierarchy. (English) Zbl 1178.37067 Theor. Math. Phys. 140, No. 2, 1073-1085 (2004); translation from Teor. Mat. Fiz. 140, No. 2, 216-229 (2004). Summary: We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type. Cited in 2 ReviewsCited in 46 Documents MSC: 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) Keywords:hydrodynamic systems; differential reductions; hodograph solutions PDFBibTeX XMLCite \textit{L. Martínez Alonso} and \textit{A. B. Shabat}, Theor. Math. Phys. 140, No. 2, 1073--1085 (2004; Zbl 1178.37067); translation from Teor. Mat. Fiz. 140, No. 2, 216--229 (2004) Full Text: DOI arXiv