Type: Article

Modified scattering for the higher-order KdV-BBM equations

Hayashi, Nakao; Naumkin, Pavel I.;

Abstract:

We study the Cauchy problem for the higher-order KdV–BBM type equation where and are the pseudodifferential operators, defined by their symbols and , respectively. The aim of the present paper is to develop a general approach through the Factorization Techniques of evolution operators which can be applied for finding the large time asymptotics of small solutions to a wide class of nonlinear dispersive KdV- type equations including the KdV or the improved version of the KdV with higher order dispersion terms.