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Optical solitons with fractional temporal evolution having anti-cubic nonlinearity

MOHAMMAD MIRZAZADEH1, ANJAN BISWAS2,3,* , ALI SALEH ALSHOMRANI3, MALIK ZAKA ULLAH3, MIR ASMA4, SEITHUTI P. MOSHOKOA2, QIN ZHOU5, MILIVOJ BELIC6

Affiliation

  1. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan,P.C. 44891-63157, Rudsar-Vajargah, Iran
  2. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa
  3. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah-21589, Saudi Arabia
  4. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50601 Kuala Lumpur, Malaysia
  5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan, 430212, PR China
  6. Science Program, Texas A&M University at Qatar, PO Box-23874, Doha, Qatar

Abstract

This paper obtains dark optical soliton solutions, with fractional temporal evolution, for anti-cubic nonlinear medium. The definition of Khalil's conformable fractional derivative, coupled with Bernoulli's equation approach, is utilized. The soliton solution appears with constraint conditions, for its existence..

Keywords

Dark solitons, Anti-cubic nonlinearity, Constraints.

Citation

MOHAMMAD MIRZAZADEH, ANJAN BISWAS, ALI SALEH ALSHOMRANI, MALIK ZAKA ULLAH, MIR ASMA, SEITHUTI P. MOSHOKOA, QIN ZHOU, MILIVOJ BELIC, Optical solitons with fractional temporal evolution having anti-cubic nonlinearity, Optoelectronics and Advanced Materials - Rapid Communications, 12, 1-2, January-February 2018, pp.68-70 (2018).

Submitted at: Feb. 3, 2017

Accepted at: Feb. 12, 2018