Variational analysis of soliton scattering by external potentials
Bakhram UmarovDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O Box 141, 25710 Kuantan, MalaysiaAzeddine MessikhFaculty of Information and Communication Technology, International Islamic University Malaysia, PO Box 10, 50728 Kuala Lumpur, MalaysiaN RegaaDepartment of Computational and Theoretical Sciences, Faculty of Science, International Islamic University Malaysia, P.O Box 141, 25710 Kuantan, MalaysiaB. B. BaizakovPhysical-Technical Institute of the Uzbek Academy of Sciences, 2-b, Bodomzor str., 100084, Tashkent, Uzbekistan
ABI
Annotatsiya
Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of the spatial domain is sufficient for adequate description of the soliton scattering process. The validity of the developed approach is illustrated for the Gaussian and Pöschl-Teller potentials.
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