Analytical solutions of nonlinear Schrödinger equation with distributed coefficients |
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| Institution: | 1. Centre for Osmosis Research and Applications (CORA), Chemical and Process Engineering Department, Faculty of Engineering and Physical Sciences, University of Surrey, Guildford GU2 7XH, UK;2. University of Misan, Misan, Iraq;3. The Qatar Foundation, Qatar Energy and Environment Research Institute, Qatar;1. Department of Chemical Engineering, California Institute of Technology, Pasadena, CA 91126, USA;2. Atmospheric Sciences and Global Change Division, Pacific Northwest National Laboratory, Richland, WA 99352, USA;1. Institute of Low Temperature and Structure Research, Polish Academy of Science, ul. Okólna 2, 50-422 Wrocław, Poland;2. Institute of Physics, Polish Academy of Sciences, al. Lotników, 32/46, 02-668 Warsaw, Poland;1. Department of Basic Sciences and Related Studies, Mehran University of Engineering and Technology, Jamshoro, Sindh, Pakistan;2. Tunis-City University Ecole Supérieure des Sciences et Techniques de Tunis, 63 Rue sidi Jabeur, 5100 Mahdia, Tunisia |
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| Abstract: | We combine the F-expansion method with the homogeneous balance principle to build a strategy to find analytical solitonic and periodic wave solutions to a generalized nonlinear Schrödinger equation with distributed coefficients, linear gain/loss, and nonlinear gain/absorption. In the case of a dimensionless effective Gross–Pitaevskii equation which describes the evolution of the wave function of a quasi-one-dimensional cigar-shaped Bose–Einstein condensate, the building strategy is applied to generate analytical solutions. |
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