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Recursion Operators of Some Equations of Hydrodynamic Type

M. Gurses·K. Zheltukhin
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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.

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M. Gurses, K. Zheltukhin. 2000-07-27. Recursion Operators of Some Equations of Hydrodynamic Type. https://doi.org/10.1063/1.1346597

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