Type: Article

Large time asymptotics for the modified Korteweg–de Vries–Benjamin-Ono equation

Hayashi, Nakao; Naumkin, Pavel I.; Sánchez-Juárez, Isahi;

Abstract:

We study the large time asymptotics of solutions to the Cauchy problem for the modified Korteweg–de Vries-Benjamin–Ono equation where p.v. is the Hilbert transform. We develop the factorization technique to obtain the sharp time decay estimate for solutions and to prove the modified scattering.