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arXiv 2005-10-11 DOI 10.1016/j.geomphys.2006.02.005 0 views

On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs

Liu, Si-Qi · Zhang, Youjin

Original · EN

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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