Bihamiltonian Systems of Hydrodynamic Type and Reciprocal Transformations

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.

15 pages

References in corpus (1)

• Reciprocal transformations of Hamiltonian operators of hydrodynamic type: nonlocal Hamiltonian formalism for linearly degenerate systems

Cited by in corpus (5)

• Bihamiltonian Cohomologies and Integrable Hierarchies I: A Special Case
• Bihamiltonian Cohomologies and Integrable Hierarchies II: the Tau Structures
• Reciprocal transformations and local Hamiltonian structures of hydrodynamic type systems
• Miura-reciprocal transformations and localizable Poisson pencils
• Reciprocal $F$-manifolds