In this paper we study the deformations of bi-Hamiltonian PDEs of hydrodynamic type with one dependent variable. The reason we study such deformations is that the deformed systems maintain an infinite number of commuting integrals of motion up to a certain order in the deformation parameter. This fact suggests that these systems could have, at least for small times, multi-soliton solutions. Our numerical experiments confirm this hypothesis

Lorenzoni, P. (2002). Deformations of bi-Hamiltonian structures of hydrodynamic type. JOURNAL OF GEOMETRY AND PHYSICS, 44(2-3), 331-375 [10.1016/S0393-0440(02)00080-3].

Deformations of bi-Hamiltonian structures of hydrodynamic type

Lorenzoni, P.
2002

Abstract

In this paper we study the deformations of bi-Hamiltonian PDEs of hydrodynamic type with one dependent variable. The reason we study such deformations is that the deformed systems maintain an infinite number of commuting integrals of motion up to a certain order in the deformation parameter. This fact suggests that these systems could have, at least for small times, multi-soliton solutions. Our numerical experiments confirm this hypothesis
Articolo in rivista - Articolo scientifico
Bi-Hamiltonian systems, Poisson cohomology
English
2002
44
2-3
331
375
none
Lorenzoni, P. (2002). Deformations of bi-Hamiltonian structures of hydrodynamic type. JOURNAL OF GEOMETRY AND PHYSICS, 44(2-3), 331-375 [10.1016/S0393-0440(02)00080-3].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/5665
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