期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 17, 期 8, 页码 3247-3257出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2011.12.009
关键词
Exact solution; Bright matter wave soliton; Conservation law; Modulational instability; Nonlinear Schrodinger equation with time-dependent nonlinearity
类别
资金
- Ministry of Education of China [0213-812002, 20100041120037]
- Natural Sciences Foundation of China [11026165, 50909017]
- Fundamental Research Funds for the Central Universities [DUT11SX03]
In this paper, we consider a general form of nonlinear Schrodinger equation with time-dependent nonlinearity. Based on the linear eigenvalue problem, the complete integrability of such nonlinear Schrodinger equation is identified by admitting an infinite number of conservation laws. Using the Darboux transformation method, we obtain some explicit bright multi-soliton solutions in a recursive manner. The propagation characteristic of solitons and their interactions under the periodic plane wave background are discussed. Finally, the modulational instability of solutions is analyzed in the presence of small perturbation. (C) 2011 Elsevier B.V. All rights reserved.
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