Self-Trapping in Discrete Nonlinear Schr(o)dinger Equation with Next-Nearest Neighbor Interaction

Self-Trapping in Discrete Nonlinear Schr(o)dinger Equation with Next-Nearest Neighbor Interaction

WANG Yan

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2013(059)005

【摘要】The dynamical self-trapping of an excitation propagating on one-dimensional of different sizes with nextnearest neighbor (NNN) interaction is studied by means of an explicit fourth order symplectic integrator.Using

localized

initial

conditions,the

time-averaged

occupation probability of the initial site is investigated which is a function of the degree of nonlinearity and the linear coupling strengths.The self-trapping transition occurs at larger values of the nonlinearity parameter as the NNN coupling strength of the lattice increases for fixed size.Furthermore,given NNN coupling strength,the self-trapping properties for different sizes are considered which are some different from the case with generalnearest neighbor (NN) interaction.

【总页数】6页(643-648) 【关键词】

【作者】WANG Yan

【作者单位】Department of Mathematics, Shanghai University, Shanghai 200444, China;Department of Mathematics, Luoyang Normal University,