RT Journal Article T1 Hydrodynamic reductions and solutions of a universal hierarchy A1 Martínez Alonso, Luis A1 Shabat, A. B. AB We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type. PB Springer SN 0040-5779 YR 2004 FD 2004-08 LK https://hdl.handle.net/20.500.14352/51654 UL https://hdl.handle.net/20.500.14352/51654 LA eng NO ©2004 Plenum Publishing Corporation.The authors thank Professor E. V. Ferapontov for the useful discussions. This work was supported by the Russian Foundation for Basic Research (Grant No. 04-01-00403, A. B. S.), the Presidential Program for Supporting Leading Scientific Schools (Grant No. NSh 1716.2003.1, A. B. S.), the Ministerio de Cultura y Deporte of Spain (grant to A. B. S.) and the DGCYT (Project No. BFM2002-01607, L. M. A.). NO Russian Foundation for Basic Research NO Presidential Program for Supporting Leading Scientific Schools NO Ministerio de Cultura y Deporte of Spain NO DGCYT DS Docta Complutense RD 28 mar 2026