On quasi-triviality and integrability of a class of scalar evolutionary PDEs

[摘要] For a certain class of perturbations of the equation u(l) = f (u)u(x), we prove the existence of change of coordinates, called quasiMiura transformations, that reduce these perturbed equations to the unperturbed one. As an application, we propose a criterion for the integrability of these equations. (c) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2006-12-31

[关键词] quasi-triviality;scalar evolutionary PDEs;integrability