English

Hydrodynamic reductions and solutions of a universal hierarchy

Exactly Solvable and Integrable Systems 2009-11-10 v1

Abstract

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.

Keywords

Cite

@article{arxiv.nlin/0312043,
  title  = {Hydrodynamic reductions and solutions of a universal hierarchy},
  author = {L. Martinez Alonso and A. B. Shabat},
  journal= {arXiv preprint arXiv:nlin/0312043},
  year   = {2009}
}

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19 pages