Highly dispersive optical solitons in the nonlinear Schrodinger's equation having polynomial law of the refractive index change


Zayed E. M. E., Alngar M. E. M., El-Horbaty M. M., Biswas A., Ekici M., Zhou Q., ...More

INDIAN JOURNAL OF PHYSICS, vol.95, no.1, pp.109-119, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 95 Issue: 1
  • Publication Date: 2021
  • Doi Number: 10.1007/s12648-020-01694-7
  • Journal Name: INDIAN JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, INSPEC, zbMATH
  • Page Numbers: pp.109-119
  • Keywords: Highly dispersive solitons, Polynomial law, 060, 2310, 060, 4510, 060, 5530, 190, 3270, 190, 4370, TRAVELING-WAVE SOLUTIONS, QUINTIC-SEPTIC LAW, ANTI-CUBIC NONLINEARITY, NONLOCAL NONLINEARITY
  • Yozgat Bozok University Affiliated: Yes

Abstract

In this paper, we apply the unified Riccati equation expansion method, as well as two forms of auxiliary equation methodology, to find highly dispersive optical solitons in the nonlinear Schrodinger's equation having a polynomial law of the refractive index change. Bright, dark and singular solitons as well as periodic and Jacobi elliptic solutions are obtained that are presented together with their existence criteria.