4.5 Article

Optical solitons and conservation laws with anti-cubic nonlinearity

Journal

OPTIK
Volume 127, Issue 24, Pages 12056-12062

Publisher

ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2016.09.122

Keywords

Solitons; Anti-cubic nonlinearity; Conservation laws

Categories

Funding

  1. Department of Mathematics and Statistics at Tshwane University of Technology
  2. South African National Foundation [92052 IRF1202210126]
  3. Qatar National Research Fund (QNRF) [NPRP 6-021-1-005]

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This paper obtains bright, dark and singular 1-soliton solution to nonlinear Schrodinger's equation that is studied with anti-cubic nonlinearity for optical fibers. The traveling wave hypothesis leads to implicit solution in terms of elliptic functions. The method of undetermined coefficients yields explicit single soliton solutions. Finally, a comprehensive discussion on conservation laws closes the chapter. (C) 2016 Elsevier GmbH. All rights reserved.

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