On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs

Details On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs

2005-10-11

arxiv.org/abs/nlin/0510019v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages

Scientific paper

10.1016/j.geomphys.2006.02.005

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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