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Analytical solutions of nonlinear Schrödinger equation with distributed coefficients

E. Kengne

Chaos, Solitons & Fractals, 2014, vol. 61, issue C, 56-68

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:61:y:2014:i:c:p:56-68

DOI: 10.1016/j.chaos.2014.02.007

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