This article is cited in 86 papers

Hydrodynamic Reductions and Solutions of a Universal Hierarchy

L. Martínez Alonso^a, A. B. Shabat<sup>b

a</sup> Universidad Complutense, Departamento de Fisica Teorica II
^b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.

Keywords: hydrodynamic systems, differential reductions, hodograph solutions.

Received: 17.09.2003

DOI: 10.4213/tmf91

 English version: Theoretical and Mathematical Physics, 2004, 140:2, 1073–1085

Bibliographic databases:

• 
• 
• 
• 
•