期刊
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
卷 39, 期 -, 页码 472-480出版社
ELSEVIER
DOI: 10.1016/j.cnsns.2016.02.024
关键词
Nonautonomous Schrodinger equation with external potentials; Conservation laws; Bilinear Backlund transformations; Soliton solutions
类别
资金
- National Natural Science Foundation of China [11272023, 11471050]
- State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications)
- Fundamental Research Funds for the Central Universities of China [2011BUPTYB02]
Under investigation in this paper is a nonautonomous nonlinear Schrodinger equation with external potentials, which can govern the dynamics of nonautonomous solitons in the nonlinear optical medium non-uniformly distributed in both the transverse and longitudinal directions. Based on the Lax pair, we present an infinite sequence of the conservation laws. Bilinear forms, bilinear Backlund transformations, one-, two- and N-soliton solutions under a known variable-coefficient constraint are generated via the Hirota method. With G(t) = 0 and R(t)/B(t) being a constant, amplitude of the soliton remains unvarying during the propagation, where t is the scaled time, G(t) is the gain/loss coefficient, B(t), the group velocity dispersion coefficient, and R(t), the nonlinearity coefficient. If we set G(t) not equal 0 or R(t)/B(t) as a variable, the amplitude becomes varying. Due to the different choices of the linear oscillator potential coefficient alpha(t), periodic-, parabolic-, S- and V-type solitons are observed. Meanwhile, we find that alpha(t) has no influence on the soliton amplitude. Interaction between the two amplitude-unvarying solitons and that between the two amplitude-varying ones are displayed, respectively. The velocity of a moving soliton always keeps varying. (C) 2016 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据