Martínez Alonso, LuisShabat, A. B.2023-06-202023-06-202004-080040-577910.1023/B:TAMP.0000036538.41884.57https://hdl.handle.net/20.500.14352/51654©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.).We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.engjournal articlehttp://dx.doi.org/10.1023/B:TAMP.0000036538.41884.57http://link.springer.com/http://arxiv.org/abs/nlin/0312043open access51-73Energy-dependent potentialsEquationsFísica-Modelos matemáticosFísica matemática