Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1901144 | Reports on Mathematical Physics | 2009 | 13 Pages |
Abstract
The generalized nonlinear Schrödinger equation, studied in this paper, is an important model of nonlinear excitations of matter waves in Bose—Einstein condensates. Through a natural transformation and the Hirota bilinear method, N bright and dark soliton solutions are obtained. Based on Jacobi theta functions, periodic-like solutions, which are periodic in x, are also presented.
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