Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation
The study of soliton scattering of the Nonlinear Schrodinger Equation (NLSE) has brought a wide focus by researchers especially in physics field such as Bose-Einstein condensates, nonlinear optics, plasma physics, condensed matter physics, etc. This paper concentrates on the effect of potentials to...
| Main Authors: | , |
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| Format: | Proceeding Paper |
| Language: | English |
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Institute of Electrical and Electronics Engineers
2015
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/4/50652.pdf |
| _version_ | 1848783685982093312 |
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| author | Mohd Busul Aklan, Nor Amirah Busul Umarov, Bakhram |
| author_facet | Mohd Busul Aklan, Nor Amirah Busul Umarov, Bakhram |
| author_sort | Mohd Busul Aklan, Nor Amirah Busul |
| building | IIUM Repository |
| collection | Online Access |
| description | The study of soliton scattering of the Nonlinear Schrodinger Equation (NLSE) has brought a wide focus by researchers especially in physics field such as Bose-Einstein condensates, nonlinear optics, plasma physics, condensed matter physics, etc. This paper concentrates on the effect of potentials to the soliton scattering in the generalized NLSE, Cubic-Quintic Nonlinear Schrodinger Equation (CQNLSE). To derive the equations for soliton parameters evolution during the scattering process, we have applied the approximate analytical method, namely the variational approximation method. The accuracy of approximations was checked by direct numerical simulations of CQNLSE with soliton initially located far from potential. In case of the potential in the form of delta function, depending on initial velocity of the soliton, it was shown the soliton may be reflected by potential or transmitted through it. The critical values of the velocity separating these two scenarios have been identified. |
| first_indexed | 2025-11-14T16:25:17Z |
| format | Proceeding Paper |
| id | iium-50652 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T16:25:17Z |
| publishDate | 2015 |
| publisher | Institute of Electrical and Electronics Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-506522025-03-26T04:54:21Z http://irep.iium.edu.my/50652/ Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation Mohd Busul Aklan, Nor Amirah Busul Umarov, Bakhram QA Mathematics QC Physics The study of soliton scattering of the Nonlinear Schrodinger Equation (NLSE) has brought a wide focus by researchers especially in physics field such as Bose-Einstein condensates, nonlinear optics, plasma physics, condensed matter physics, etc. This paper concentrates on the effect of potentials to the soliton scattering in the generalized NLSE, Cubic-Quintic Nonlinear Schrodinger Equation (CQNLSE). To derive the equations for soliton parameters evolution during the scattering process, we have applied the approximate analytical method, namely the variational approximation method. The accuracy of approximations was checked by direct numerical simulations of CQNLSE with soliton initially located far from potential. In case of the potential in the form of delta function, depending on initial velocity of the soliton, it was shown the soliton may be reflected by potential or transmitted through it. The critical values of the velocity separating these two scenarios have been identified. Institute of Electrical and Electronics Engineers 2015-12-14 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/50652/4/50652.pdf Mohd Busul Aklan, Nor Amirah Busul and Umarov, Bakhram (2015) Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation. In: 7th International Conference on Research and Education in Mathematics: Empowering Mathematical Sciences through Research and Education (ICREM7 2015), 25th-27th August, 2015, Kuala Lumpur. http://ieeexplore.ieee.org/xpl/abstractReferences.jsp?arnumber=7357033 10.1109/ICREM.2015.7357033 |
| spellingShingle | QA Mathematics QC Physics Mohd Busul Aklan, Nor Amirah Busul Umarov, Bakhram Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation |
| title | Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation |
| title_full | Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation |
| title_fullStr | Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation |
| title_full_unstemmed | Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation |
| title_short | Interaction of solitons with delta potential in the Cubic-Quintic Nonlinear Schrodinger Equation |
| title_sort | interaction of solitons with delta potential in the cubic-quintic nonlinear schrodinger equation |
| topic | QA Mathematics QC Physics |
| url | http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/ http://irep.iium.edu.my/50652/4/50652.pdf |