Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations

Details Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations

2005-10-12

arxiv.org/abs/math/0510250v1

Mathematics

Differential Geometry

15 pages

Scientific paper

10.1007/s11005-005-0031-9

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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