Asymptotic stability of ground states of quadratic nonlinear Schrödinger equation with potential in 4D
作者： Özgür Mızrak
DOI: 10.17776/CSJ.46525
关键词: Split-step method 、 Nonlinear Schrödinger equation 、 Mathematical analysis 、 Space (mathematics) 、 Bound state 、 Quadratic equation 、 Exponential stability 、 Nonlinear system 、 Stability theory 、 Mathematics
摘要: Abstract. In this paper a class of quadratic nonlinear Schrodinger equation in four space dimensions with an attractive potential is considered. We investigate asymptotic stability the bound states, i.e. periodic time localized solutions. show that all solutions small initial data, converge to state. Therefore, non-linear states are asymptotically stable.
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