Soliton scattering on the external potential in weakly nonlocal nonlinear media
The Nonlinear Schrödinger Equation (NLSE) is one of the universal mathematical models and it arises in a such diverse areas as plasma physics, condensed matter physics, Bose - Einstein condensates, nonlinear optics, etc. In this work the scattering of the soliton of the generalized NLSE on the l...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English English |
| Published: |
Institute for Mathematical Research (INSPEM) Universiti Putra Malaysia
2016
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/51973/ http://irep.iium.edu.my/51973/ http://irep.iium.edu.my/51973/7/51973-new.pdf http://irep.iium.edu.my/51973/13/51973-Soliton%20scattering%20on%20the%20external%20potential%20in%20weakly%20nonlocal%20nonlinear%20media_SCOPUS.pdf |
| Summary: | The Nonlinear Schrödinger Equation (NLSE) is one of the universal
mathematical models and it arises in a such diverse areas as plasma
physics, condensed matter physics, Bose - Einstein condensates, nonlinear
optics, etc. In this work the scattering of the soliton of the generalized
NLSE on the localized external potential has been studied, taking into
account the weak nonlocality of the media. We have applied the approximate
analytical method, namely the variational method to derive the
equations for soliton parameters evolution during the scattering process.
The validity of approximations were checked by direct numerical simulations
with soliton initially located far from potential. It was shown that
depending on initial velocity of the soliton, the soliton may be reflected
by potential or transmitted through it. The critical values of the velocity
separating these two scenarios have been identified. |
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