16 citations · 106 across the 33 of their papers we have counts for
37 papers
Scattering problem for the generalized Korteweg-de Vries equation
Satoshi Masaki, Jun-ichi Segata
In this paper we study the scattering problem for the initial value problem of the generalized Korteweg-de Vries (gKdV) equation. The purpose of this paper is to achieve two primar…
Scattering for the focusing, -supercritical fourth-order NLS in one dimension
Koichi Komada, Satoshi Masaki
In this paper, we consider the fourth-order Schrödinger equations with focusing, -supercritical nonlinearity in one dimension. We prove the global existence and scattering of…
Scattering below ground states for a class of systems of nonlinear Schrodinger equations
Satoshi Masaki, Ryusei Tsukuda
In this paper, we consider the scattering problem for a class of -coupled systems of the cubic nonlinear Schrödinger equations in three space dimensions. We prove the scattering…
On scalar-type standing-wave solutions to systems of nonlinear Schrödinger equations
Satoshi Masaki
In this article, we study the standing-wave solutions to a class of systems of nonlinear Schrödinger equations. Our target is all the standard forms of the NLS systems, with two un…
Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension
Naoyasu Kita, Satoshi Masaki, Jun-ichi Segata +1
In this paper, we consider the initial value problem of a specific system of cubic nonlinear Schrödinger equations. Our aim of this research is to specify the asymptotic profile of…
Global dynamics below excited solitons for the non-radial NLS with potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the global dynamics of solutions to the cubic nonlinear Schrödinger equation in the presence of an external potential, in the setting in which the equation admits…