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Title: Superposed Akhmediev breather of the (3+1)-dimensional generalized nonlinear Schrödinger equation with external potentials

The one-to-one correspondence between a (3+1)-dimensional variable-coefficient nonlinear Schrödinger equation with linear and parabolic potentials and a standard nonlinear Schrödinger equation is given, and an exact superposed Akhmediev breather solution in certain parameter conditions is obtained. These precise expressions for the peak, width, center and phase indicate that diffraction and chirp factors influence the evolutional characteristics such as phase, center and width, while the gain/loss parameter only affects the evolution of the peak. Moreover, by modulating the relation between the terminal accumulated time T{sub e} or the maximum accumulated time T{sub m} and the accumulated time T{sub 0} based on the maximum amplitude of Akhmediev breather, the controllability for the type of excitation such as postpone, maintenance and restraint of the superposed Akhmediev breather is discussed. -- Highlights: • Exact superposed AB solution in certain parameter conditions is obtained. • The controllable factors for AB are discussed. • The controllable behaviors for superposed AB are studied in PDAS and DDM.
Authors:
 [1] ;  [2]
  1. School of Sciences, Zhejiang A and F University, Lin’an, Zhejiang 311300 (China)
  2. School of Science, Zhejiang Lishui University, Lishui, Zhejiang 323000 (China)
Publication Date:
OSTI Identifier:
22233549
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 341; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AMPLITUDES; DIFFRACTION; EQUATIONS; EXCITATION; GAIN; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; PEAKS; POTENTIALS