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Optical solitons with resonant nonlinear Schrodinger's equation using three integration schemes

F. TCHIER1, B. KILIC2, M. INC2, M. EKICI3, A. SONMEZOGLU3, M. MIRZAZADEH4, H. TRIKI5, D. MILOVIC6, Q. ZHOU7, S. P. MOSHOKOA8, ANJAN BISWAS8,9,* , M. BELIC10

Affiliation

  1. Department of Mathematics, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
  2. Fırat University, Science Faculty, Department of Mathematics, 23119 Elazığ/Türkiye
  3. Department of Mathematics, Faculty of Science and Arts, Bozok University, 66100 Yozgat, Turkey
  4. Department of Engineering Sciences,Faculty of Technology and Engineering, East of Guilan,University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
  5. Radiation Physics Laboratory, Department of Physics Faculty of Sciences, Badji Mokhtar University P.O. Box 12, 23000 Annaba, Algeria
  6. Faculty of Electronic Engineering, Department of Telecommunications, University of Nis, Aleksandra Medvedeva 14, 18000 Nis, Serbia
  7. School of Electronics and Information Engineering,Wuhan Donghu University, Wuhan-430212, PR China
  8. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
  9. Department of Mathematics, Faculty of Science, King Abdulaziz University Jeddah-21589, Saudi Arabia
  10. Science Program, Texas A & M University at Qatar, Doha, Qatar

Abstract

This paper integrates resonant nonlinear Schrödinger equation (RNLSE) with power law nonlinearity and time dependent coefficients. The first integral method (FIM) is applied to reach the optical solitons of RNLSE with power law nonlinearity and time dependent coefficients which are the terms of velocity dispersion, linear and nonlinear terms and also resonant one..

Keywords

First integral method, Generalized Kudryashov’s approach, Extended trial scheme approach, Soliton.

Submitted at: Aug. 7, 2016
Accepted at: Nov. 25, 2016

Citation

F. TCHIER, B. KILIC, M. INC, M. EKICI, A. SONMEZOGLU, M. MIRZAZADEH, H. TRIKI, D. MILOVIC, Q. ZHOU, S. P. MOSHOKOA, ANJAN BISWAS, M. BELIC, Optical solitons with resonant nonlinear Schrodinger's equation using three integration schemes, Journal of Optoelectronics and Advanced Materials Vol. 18, Iss. 11-12, pp. 950-973 (2016)