2 papers
math.AP2026
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…
math.AP2025
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…