English

Non-homogeneous systems of hydrodynamic type possessing Lax representations

Exactly Solvable and Integrable Systems 2015-06-05 v3

Abstract

We consider 1+1 - dimensional non-homogeneous systems of hydrodynamic type that possess Lax representations with movable singularities. We present a construction, which provides a wide class of examples of such systems with arbitrary number of components. In the two-component case a classification is given.

Keywords

Cite

@article{arxiv.1206.5230,
  title  = {Non-homogeneous systems of hydrodynamic type possessing Lax representations},
  author = {A. V. Odesskii and V. V. Sokolov},
  journal= {arXiv preprint arXiv:1206.5230},
  year   = {2015}
}

Comments

22 pages, latex, minor changes

R2 v1 2026-06-21T21:24:04.022Z