Article citationsMore>>

de Bouard, A. and Debussche, A. (2010) The Nonlinear Schrödinger Equation with White Noise Dispersion. Journal of Functional Analysis, 259, 1300-1321.
http://dx.doi.org/10.1016/j.jfa.2010.04.002

has been cited by the following article:

• TITLE: Analysis on the Propagation of the Fiber-Optic Signals in the Perturbed Nonlinear Schrödinger Equation

  AUTHORS: Qianqian Xing, Jiuli Yin, Lixin Tian

  KEYWORDS: Fiber-Optic Signal, Nonlinear Schrödinger Equation, Vibration, Oscillation, Escape

  JOURNAL NAME: Open Access Library Journal, Vol.1 No.8, November 14, 2014

  ABSTRACT: Chaos appears in the whole process of fiber-optic signal propagation with one external perturbation due to the absence of damping. Via adding a proper controller, chaos cannot be suppressed when the controller’s strength is weak. With the increase of the controller strength, the fiber-optic signal can stay in a stable state. However, unstable phenomenon occurs in the propagation of the fiber-optic signal when the strength exceeds a certain degree. Moreover, we discuss the parameters’ sensitivity to be controlled. Numerical results show that vibration, oscillation and escape can occur during the transmission of optic signals with different parametric regions.