Article ID Journal Published Year Pages File Type
1901144 Reports on Mathematical Physics 2009 13 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics