Open AccessDynamic properties and drifting of the solution pattern of cubic nonlinear Schr?dinger equation with varying nonlinear parameters
Author(s) -
Xiaobing Luo,
XueShen Liu,
Pei Ding
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.604
Subject(s) - nonlinear system , perturbation (astronomy) , symplectic geometry , physics , nonlinear schrödinger equation , phase space , split step method , mathematical analysis , classical mechanics , mathematics , quantum mechanics
The dynamic properties of one-dimensional cubic nonlinear Schr?dinger equation and drifting of the solution pattern are investigated numerically by using the symplectic method with different nonlinear parameters in the perturbation initial condition. The numerical simulation illustrates that the system shows different dynamic behaviors with varying nonlinear parameters, but the motion in the phase space is regularly recurrent. The results show that the drifting velocity for the small nonlinear parameter is small. With the nonlinear parameter increasing, drifting velocity of the solution pattern becomes faster at the same time of evolution.