English

Classification of integrable hydrodynamic chains

Exactly Solvable and Integrable Systems 2015-05-14 v2 Analysis of PDEs

Abstract

Using the method of hydrodynamic reductions, we find all integrable infinite (1+1)-dimensional hydrodynamic-type chains of shift one. A class of integrable infinite (2+1)-dimensional hydrodynamic-type chains is constructed.

Cite

@article{arxiv.1001.0020,
  title  = {Classification of integrable hydrodynamic chains},
  author = {A. Odesskii and V. Sokolov},
  journal= {arXiv preprint arXiv:1001.0020},
  year   = {2015}
}

Comments

20 pages, latex

R2 v1 2026-06-21T14:29:38.315Z