Recursion Operators of Some Equations of Hydrodynamic Type

Details Recursion Operators of Some Equations of Hydrodynamic Type Recursion Operators of Some Equations of Hydrodynamic Type

2000-07-27

arxiv.org/abs/nlin/0007040v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex File (amssymb), 22 pages

Scientific paper

10.1063/1.1346597

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.

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