Novel soliton solutions of the nonlinear Schrodinger equation model

Novel soliton solutions of the nonlinear Schrodinger equation model
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DOI:
10.1103/physrevlett.85.4502
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发表时间:
2000-11
影响因子:
8.6
通讯作者:
V. Serkin;A. Hasegawa
V. Serkin;A. Hasegawa
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
V. Serkin;A. Hasegawa

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开发的方法提供了一个系统的方法来找到一个无限数量的新的稳定的明亮和黑暗的“孤立子岛”在“孤立波海”的非线性薛定谔方程模型具有不同的色散,非线性,增益或吸收。结果表明,孤子只存在于一定的条件下,描述色散,非线性,增益或吸收不均匀性的参数函数不能独立地选择。发现了基本的孤子管理机制。
The methodology developed provides for a systematic way to find an infinite number of the novel stable bright and dark "soliton islands" in a "sea of solitary waves" of the nonlinear Schrodinger equation model with varying dispersion, nonlinearity, and gain or absorption. It is shown that solitons exist only under certain conditions and the parameter functions describing dispersion, nonlinearity, and gain or absorption inhomogeneities cannot be chosen independently. Fundamental soliton management regimes are discovered.