Scattering of a flat top solitons of cubic - quintic nonlinear Shr?dinger equation by a linear delta potential

37th International Conference on Quantum Probability and Related Topics

Umarov, B.A.^1 ; Aklan, N.A.B.^2

Department of Physics, Kulliyyah of Science, International Islamic University Malaysia, Kuantan

25200, Malaysia^1

Department of Computational and Theoretical Sciences, International Islamic University Malaysia, Kulliyyah of Science, Kuantan

25710, Malaysia^2

关键词: Approximate analytical results;    Delta-potentials;    Dinger equation;    Flat-top;    Initial velocities;    Localized solutions;    Quintic;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/819/1/012023/pdf
DOI  :  10.1088/1742-6596/819/1/012023

来源: IOP

【 摘 要 】

The flat top soliton is a localized solution of cubic - quintic Nonlinear Shrödinger equation (C-Q NLSE) that can propagate preserving its shape. In this work we consider the interaction of soliton with weak external localized potentials. It is shown that depending on an initial velocity the soliton may be reflected or transmitted by potential. The approximate analytical results based on varational approach qualitatively confirmed by numerical simulations.