12 citations · 19 across the 9 of their papers we have counts for
9 papers
Modified scattering type asymptotic behavior for a quadratic nonlinear Schrödinger system under the mass-resonance condition in two dimensions
Satoshi Masaki, Kota Uriya
We study a system of nonlinear Schrodinger equations under the mass-resonance condition and provide a complete description of the asymptotic behavior of small solutions in two spac…
Non-polynomial conserved quantities for ODE systems and its application to the long-time behavior of solutions to cubic NLS systems
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we investigate the asymptotic behavior of small solutions to the initial value problem for a system of cubic nonlinear Schrodinger equations (NLS) in one spatial dim…
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…
Asymptotic behavior in time of solution to system of cubic nonlinear Schr"odinger equations in one space dimension
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Schr"odinger equations in one space dimension. It turns out that for a…
On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Klein-Gordon equations in one space dimension. We classify the systems…
Modified scattering for inhomogeneous nonlinear Schrödinger equations with and without inverse-square potential
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the final state problem for the inhomogeneous nonlinear Schrödinger equation with a critical long-range nonlinearity. Given a prescribed asymptotic profile, which has a…
Asymptotic behavior for the long-range nonlinear Schrödinger equation on star graph with the Kirchhoff boundary condition
Kazuki Aoki, Takahisa Inui, Hayato Miyazaki +2
We consider the cubic nonlinear Schrödinger equation on the star graph with the Kirchhoff boundary condition. We prove modified scattering for the final state problem and the initi…
Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we study large time behavior of complex-valued solutions to nonlinear Klein-Gordon equation with a gauge invariant quadratic nonlinearity in two spatial dimensions.…
Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions
Satoshi Masaki, Hayato Miyazaki, Kota Uriya
In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomia…