NDLI: Controllable dynamical behaviors for spatiotemporal bright solitons on continuous wave background

Content Provider	Springer Nature Link
Author	Dai, Chao Qing Zhang, Jie Fang
Copyright Year	2013
Abstract	Inspired by the mapping method and the direct method of symmetry reduction method, we present a new algorithm, nonlinear Schrödinger equation-based constructive method, to solve complex nonlinear evolution equations. This method can easily construct infinite solutions of the complex nonlinear evolution equations from abundant solutions of the nonlinear Schrödinger equation, including multi-soliton solutions with and without continuous wave background, rational solutions and periodic solutions, and so on. With the aid of symbolic computation, we choose (2+1)-dimensional and (3+1)-dimensional variable-coefficient nonlinear Schrödinger equations to illustrate the validity and advantages of the proposed method. According to exact solutions, we also graphically discuss some interesting soliton-like wave dynamic behaviors, which may be observable in the future experiments. These results are helpful to increase the bit-rate of optical communication.
Starting Page	2049
Ending Page	2057
Page Count	9
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	73
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2013-05-03
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	NLSE-based constructive method Variable-coefficient nonlinear Schrödinger equations Soliton-like solutions Controllable behaviors Vibration, Dynamical Systems, Control Mechanics Mechanical Engineering Automotive Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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