English

Recursion Operators of Some Equations of Hydrodynamic Type

Exactly Solvable and Integrable Systems 2009-10-31 v1

Abstract

We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a nonstandard Lax representation. We give several examples for N=2 and N=3 containing the equations of shallow water waves and its generalizations with their first two higher symmetries and their recursion operators. We also discuss a reduction of N+1N+1 systems to NN systems of some new equations of hydrodynamic type.

Keywords

Cite

@article{arxiv.nlin/0007040,
  title  = {Recursion Operators of Some Equations of Hydrodynamic Type},
  author = {M. Gurses and K. Zheltukhin},
  journal= {arXiv preprint arXiv:nlin/0007040},
  year   = {2009}
}

Comments

Latex File (amssymb), 22 pages

R2 v1 2026-07-22T18:07:11.853Z