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Interaction of Two Pulses in Defocusing Nonlinear Schrodinger Equation

T H HassanFaculty of Engineering, International Islamic University Malaysia, PO Box 10, 50728 Kuala Lumpur, MalaysiaSadulla Sh. TadjimuratovPhysical-Technical Institute of the Uzbek Academy of Sciences, 2-b, Bodomzor str., 100084, Tashkent, UzbekistanMohamed Ridza WahiddinFaculty of Information and Communication Technology, International Islamic University Malaysia, PO Box 10, 50728 Kuala Lumpur, MalaysiaN RegaaDepartment of Physics, Faculty of Science, International Islamic University Malaysia, P.O Box 141, 25710 Kuantan, MalaysiaBakhram UmarovDepartment of Physics, Faculty of Science, International Islamic University Malaysia, P.O Box 141, 25710 Kuantan, Malaysia
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Аннотация

In this work we are using initial conditions in the form of two separated bright pulses with the rectangular shape to analyse the interaction of pulses in a defocusing Nonlinear
\nScrodinger Equation (NLSE). By exact solution of the direct scattering problem associated with the defocusing NLSE, we have obtained the expressions for long time behavior of the solution. Obtained results interpreted as a nonlinear interference of two pulses.

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