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 systems to systems of some new equations of hydrodynamic type.
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