期刊
NONLINEAR DYNAMICS
卷 69, 期 4, 页码 2009-2020出版社
SPRINGER
DOI: 10.1007/s11071-012-0403-5
关键词
Reduced Maxwell-Bloch system; Nonlinear optics; Conservation laws; N-fold Darboux transformation; Soliton solutions; Symbolic computation
资金
- National Natural Science Foundation of China [60772023]
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
- Specialized Research Fund for the Doctoral Program of Higher Education, Chinese Ministry of Education [200800130006]
Under investigation in this paper is the reduced Maxwell-Bloch system, which describes the propagation of the intense ultra-short optical pulses through a two-level dielectric medium. Through symbolic computation, conservation laws are derived and N-fold Darboux transformation (DT) is constructed for that system. By virtue of the DT obtained, multi-soliton solutions are generated. Figures are plotted to reveal the following dynamic features of the solitons: (1) Elastic interactions between two bright one-peak solitons, between two bight two-peak solitons and between two dark two-peak solitons; (2) Parallel propagations between two bright one-peak solitons, between two bright two-peak solitons and between two dark two-peak solitons; (3) Periodic propagations of hump solitons, of a pair of bound hump solitons with the same amplitude and of dark solitons.
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