期刊
NONLINEAR DYNAMICS
卷 75, 期 1-2, 页码 201-207出版社
SPRINGER
DOI: 10.1007/s11071-013-1058-6
关键词
Dissipative nonlinear Schrodinger equation; Nonautonomous bright solitons; Continuous wave background; Cnoidal wave background
资金
- Scientific Research Fund of Zhejiang Provincial Education Department [Y201225803]
- National Natural Science Foundation of China [11375007]
- Zhejiang Provincial Natural Science Foundation of China [LY13F050006]
- Zhejiang Province Undergraduate Scientific and Technological Innovation Project [2013R412034]
- Student Research Training Program [201212007]
- Undergraduate Innovative Base of Zhejiang AF University
We discuss the dissipative nonlinear Schrodinger equation (NLSE) with a variable coefficient in blood vessels via a NLSE-based constructive method and obtain exact nonautonomous soliton solutions including bright soliton solutions on continuous wave (cw) and cnoidal wave (cnw) backgrounds. Moreover, the dynamical behaviors of these soliton solutions are studied. The impact of the cw background on the separating and interactive soliton behaviors is investigated. These behaviors of the soliton can be modulated by adjusting the amplitude of background wave. The propagation behaviors of solitons on the cnw background in different dispersion systems are also studied. These results are potentially useful for future experiments in various blood vessels.
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