On asymptotic behavior of solutions to the fourth order cubic nonlinear Schrödinger type equation

Segata, Jun-ichi

doi:10.2969/aspm/04710329

VOL. 47.1 | 2007 On asymptotic behavior of solutions to the fourth order cubic nonlinear Schrödinger type equation

Jun-ichi Segata

Editor(s) Hideo Kozono, Takayoshi Ogawa, Kazunaga Tanaka, Yoshio Tsutsumi, Eiji Yanagida

Adv. Stud. Pure Math., 2007: 329-339 (2007) DOI: 10.2969/aspm/04710329

Abstract

We present some results concerning the asymptotic behavior of solutions to the fourth order nonlinear Schrödinger type equation. The nonlinear interaction is the power type one with degree three. We prove the existence of the modified wave operators for this equation.