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Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations

Ting Xue·Youjin Zhang
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Abstract

We prove that under certain linear reciprocal transformation, an evolutionary PDE of hydrodynamic type that admits a bihamiltonian structure is transformed to a system of the same type which is still bihamiltonian.

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Ting Xue, Youjin Zhang. 2005-10-12. Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations. https://doi.org/10.1007/s11005-005-0031-9

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