Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations
classification
🧮 math.DG
nlin.SI
keywords
bihamiltoniantypehydrodynamicreciprocaladmitscertainevolutionarylinear
read the original 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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