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math.AP2025
Existence of wave operators for Zakharov-Kuznetsov equation in two space dimensions
Jun-ichi Segata
In this paper, we study long time behavior of solution to the two dimensional Zakharov-Kuznetsov equation in the framework of the final state problem. We construct a small global s…
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…