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On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs

Si-Qi Liu·Youjin Zhang
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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.

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Si-Qi Liu, Youjin Zhang. 2005-10-11. On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs. https://doi.org/10.1016/j.geomphys.2006.02.005

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