On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs

Abstract

For certain class of perturbations of the equation $u_t=f(u)u_x$, we prove the existence of change of coordinates, called quasi-Miura transformations, that reduce these perturbed equations to the unperturbed ones. As an application, we propose a criterion for the integrability of these equations.

23 pages

References in corpus (1)

• Deformations of Semisimple Bihamiltonian Structures of Hydrodynamic Type

Cited by in corpus (20)

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