Hydrodynamic reductions and solutions of a universal hierarchy

Details Hydrodynamic reductions and solutions of a universal hierarchy Hydrodynamic reductions and solutions of a universal hierarchy

2003-12-19

arxiv.org/abs/nlin/0312043v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

19 pages

Scientific paper

10.1023/B:TAMP.0000036538.41884.

The diagonal hydrodynamic reductions of a hierarchy of integrable
hydrodynamic chains are explicitly characterized. Their compatibility with
previously introduced reductions of differential type is analyzed and their
associated class of hodograph solutions is discussed.

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