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Numerical study of bright-bright-dark soliton dynamics in the mixed coupled nonlinear Schrödinger system
Optik ( IF 3.1 ) Pub Date : 2020-09-26 , DOI: 10.1016/j.ijleo.2020.165633
M.S. Ismail , T. Kanna

An efficient, accurate numerical method is developed to study the mixed (bright-bright-dark) solitons in a three component mixed coupled nonlinear Schrödinger system, arising in nonlinear optics. For this purpose, a compact finite difference method involving different boundary conditions for the bright and dark solitons is employed to derive an implicit nonlinear numerical scheme of fourth order in space and second order in time. Particularly, the scheme is shown to be unconditionally stable by von Neumann stability method. Also, the exact soliton solutions and the conserved quantities are used to assess the proposed method. Propagation dynamics as well as the standard elastic and the fascinating energy-sharing collisions of multicomponent mixed solitons are studied in this framework. Significantly, the energy-sharing collision scenario of solitons is found to be robust against small perturbations.



中文翻译:

混合耦合非线性薛定ding系统中亮-暗-暗孤子动力学的数值研究

开发了一种有效,精确的数值方法来研究非线性光学中产生的三分量混合耦合非线性薛定ding系统中的混合(亮-亮-暗)孤子。为此目的,采用一种紧凑的有限差分方法,该方法涉及亮和暗孤子的不同边界条件,以推导隐式的非线性数值方案,该方案在空间上是四阶,在时间上是二阶。特别地,通过冯·诺伊曼稳定性方法证明该方案是无条件稳定的。同样,精确的孤子解和守恒量也用于评估所提出的方法。在此框架下研究了多组分混合孤子的传播动力学以及标准弹性和引人入胜的能量共享碰撞。重要的是

更新日期:2020-10-05
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