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Rational Solutions and Rogue Waves in Nonlinear Schrödinger Equation With Varying Coefficients

[+] Author Affiliations
Ni Song, Wei Zhang, Sha. Zhou, Qian Wang

Beijing University of Technology, Beijing, China

Paper No. DETC2014-34142, pp. V006T10A009; 5 pages
doi:10.1115/DETC2014-34142
From:
  • ASME 2014 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 10th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Buffalo, New York, USA, August 17–20, 2014
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-4639-1
  • Copyright © 2014 by ASME

abstract

The similarity transformation and direct ansatz are applied to obtain rogue wave solutions of nonlinear Schrödinger equation with varying coefficients. These obtained solutions can be used to describe the possible formation mechanisms for optical rogue wave phenomenon in optical fibres. Moreover their dynamical behaviors are exhibited for chosen different functions. This will further excite the possibility of relative researchers and potential applications of rogue waves in other related fields.

Copyright © 2014 by ASME

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