Deformations of bihamiltonian structures of hydrodynamic type

Abstract

In this paper we study the deformations of bihamiltonian 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-solitons solutions. Our numerical experiments confirm this hypothesis.

48 pages, 2 figures

References in corpus (1)

• Normal forms of hierarchies of integrable PDEs, Frobenius manifolds and Gromov - Witten invariants

Cited by in corpus (37)

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