The Cubic-Quintic Nonlinear Schrödinger Equation (CQNLSE) is one of the universal mathematical models constituting many interesting problems in physics such as plasma physics, condensed matter physics, Bose–Einstein condensates, nonlinear optics, etc. This paper studies the scattering of the soliton of the CQNLSE on the localized external potential namely Gaussian potential. The approximate analytical method, also known as variational method has been applied in order to derive the equations for soliton parameters evolution during the scattering process. The validity of approximations was tested by direct numerical simulations of CQNLSE with soliton initially located far from potential. It was shown, in case of the potential in the form of Gaussian function, 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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22 October 2015
THE 22ND NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM22): Strengthening Research and Collaboration of Mathematical Sciences in Malaysia
24–26 November 2014
Selangor, Malaysia
Research Article|
October 22 2015
The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials
Nor Amirah Busul Aklan;
Nor Amirah Busul Aklan
aDepartment of Computational and Theoretical Sciences, Faculty of Science,
International Islamic University Malaysia
, 25200 Kuantan, Malaysia
[email protected]
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Bakhram Umarov
Bakhram Umarov
bDepartment of Physics, Faculty of Science,
International Islamic University Malaysia
, 25200 Kuantan, Malaysia
[email protected]
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Nor Amirah Busul Aklan
1
Bakhram Umarov
2
aDepartment of Computational and Theoretical Sciences, Faculty of Science,
International Islamic University Malaysia
, 25200 Kuantan, Malaysia
[email protected]
bDepartment of Physics, Faculty of Science,
International Islamic University Malaysia
, 25200 Kuantan, Malaysia
[email protected]AIP Conf. Proc. 1682, 020022 (2015)
Citation
Nor Amirah Busul Aklan, Bakhram Umarov; The soliton scattering of the cubic-quintic nonlinear Schrödinger equation on the external potentials. AIP Conf. Proc. 22 October 2015; 1682 (1): 020022. https://doi.org/10.1063/1.4932431
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