On the Quasitriviality of Deformations of Bihamiltonian Structures of Hydrodynamic Type

Abstract

We prove in this paper the quasitriviality of a class of deformations of the one component bihamiltonian structures of hydrodynamic type.

arXiv comment10 pages

References in corpus (4)

• An integrable shallow water equation with peaked solitons
• Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type
• Deformations of bihamiltonian structures of hydrodynamic type
• The conservation of the Hamiltonian structures in Whitham's method of averaging

Cited by in corpus (4)

• A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
• Whitham systems and deformations
• The deformations of Whitham systems and Lagrangian formalism
• The Lorentz - invariant deformation of the Whitham system for the non-linear Klein-Gordon equation