pith. sign in

arxiv: nlin/0007040 · v1 · submitted 2000-07-27 · 🌊 nlin.SI

Recursion Operators of Some Equations of Hydrodynamic Type

classification 🌊 nlin.SI
keywords equationshydrodynamicoperatorsrecursionsometypegivesystems
0
0 comments X
read the original 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 $N+1$ systems to $N$ systems of some new equations of hydrodynamic type.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.