This article is cited in 10 papers

Integrability of the Egorov systems of hydrodynamic type

M. V. Pavlov

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Abstract: We present integrability criterion for the Egorov systems of hydrodynamic type. We find the general solution by the generalized hodograph method and give examples. We discuss a description of triorthogonal curvilinear coordinate systems from the standpoint of reciprocal transformations.

Keywords: Hamiltonian structure, reciprocal transformation, Egorov metric, system of hydrodynamic type, Riemann invariant, extended hodograph method, generalized hodograph method.

Received: 01.05.2006

DOI: 10.4213/tmf5978

 English version: Theoretical and Mathematical Physics, 2007, 150:2, 225–243

Bibliographic databases:

• 
• 
• 
• 
• 
• 
•