On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs
Si-Qi Liu, Youjin Zhang
Abstract
For certain class of perturbations of the equation ut=f(u) ux, 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.
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