The Soliton Interaction in Weakly Nonlocal Nonlinear Media on the External Potentials

37th International Conference on Quantum Probability and Related Topics

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

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

25200, Malaysia^1

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

25200, Malaysia^2

关键词: External potential;    Initial velocities;    Nonlocal nonlinear media;    Reflection and transmission;    Scattering process;    Soliton interactions;    Solitons interaction;    Variational approximation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/819/1/012024/pdf
DOI  :  10.1088/1742-6596/819/1/012024

来源: IOP

【 摘 要 】

This paper is devoted to the analytical and numerical study of the solitons interaction and scattering on the external delta potential in the weakly nonlocal nonlinear media. Using generalized form of Nonlinear Schrödinger Equation (NLSE) which is Cubic-Quintic NLSE in weakly nonlocal nonlinear media, we applied the variational approximation method to derive the equations for soliton parameters evolution during scattering process. Then a direct numerical simulation of NLSE is used to check the validity of approximations, considering the soliton initially located far from potential. Depending on initial velocity of the soliton, the phenomenon of reflection and transmission of the soliton through the potential have been shown. The critical values of the velocity separating these two scenarios have been identified.