Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 17, Issue 8, Pages 3247-3257Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2011.12.009
Keywords
Exact solution; Bright matter wave soliton; Conservation law; Modulational instability; Nonlinear Schrodinger equation with time-dependent nonlinearity
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Funding
- Ministry of Education of China [0213-812002, 20100041120037]
- Natural Sciences Foundation of China [11026165, 50909017]
- Fundamental Research Funds for the Central Universities [DUT11SX03]
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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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