On Quasitriviality and Integrability of a Class of Scalar Evolutionary PDEs

2005/10/11 by Si-Qi Liu, Youjin Zhang · 1 citation
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1016/j.geomphys.2006.02.005

23 pages

arxiv created 2005/10/11 · arxiv updated 2009/12/01

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.

Cited by

• Bihamiltonian tests for integrable systems associated to rank-1 F-CohFTs