Optical soliton solutions for the (1+1)-dimensional resonant nonlinear Schröndinger’s equation arising in optical fibers

TOZAR A., TAŞBOZAN O., Kurt A.

Optical and Quantum Electronics, cilt.53, sa.6, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11082-021-02913-z
  • Dergi Adı: Optical and Quantum Electronics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: (1+1)-dimensional resonant nonlinear Schröndinger’s equation, Functional variable method
  • Hatay Mustafa Kemal Üniversitesi Adresli: Evet

Özet

Solitons which can be described as a localized wave form that maintain their shape after a collision with another soliton have became a very important phenomena in nonlinear optics due to their potential. They can be used as lossless information carriers in optical fibers due to their robustness arising from their particle grade stability upon a collision. Many scientists from various areas including electronic communication engineers have made solitons the main subject of study. Analytical solutions of nonlinear Schrödinger equation have a very important place in these studies. With the progress of nonlinear optics, some types of nonlinear Schrödinger equation have been derived for better understanding. Resonant nonlinear Schrödinger equation which is being used for describing nonlinear optical phenomena is a generic example for newly derived nonlinear Schrödinger equation. In this study, resonant nonlinear Schrödinger equation has been solved by using functional variable method and sixteen new soliton solutions have been obtained.