6 papers · 1 filter
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…
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…
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.…