An encyclopedia of Kudryashov's integrability approaches applicable to optoelectronic devices

ÖZIŞIK M., SEÇER A., Bayram M., Aydin H.

OPTIK, cilt.265, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 265
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1016/j.ijleo.2022.169499
  • Dergi Adı: OPTIK
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC
  • Anahtar Kelimeler: Kudryashov methods, Generalized Kudryashov, New Kudryashov, Extended Kudryashov, Enhanced Kudryashov, Zoomeron equation, Soliton, DISPERSIVE OPTICAL SOLITONS, NONLINEAR SCHRODINGERS EQUATION, SOLITARY WAVE SOLUTIONS, POWER-LAW NONLINEARITY, KERR LAW, BIREFRINGENT FIBERS, REFRACTIVE-INDEX, PERTURBATION, COUPLE
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Purpose: In the last decades, many researchers have performed their best in order to find the solution of the nonlinear evolution equations, nonlinear partial differential equations (NLPDEs), fractional nonlinear partial differential equations and nonlinear optical models by using Kudryashov methods, which have various forms. However, most researchers have used different methods under the same name or applied the same method under the different names. This situation has created confusion for researchers and readers, such as choosing the appropriate method, algorithm and the right article title. In order to eliminate this problem and to clarify the methods, we have conducted rigorous research and wrote a certain standard in this field by bringing together the Kudryashov methods, which are widely used under different names in the literature. Besides, it has been aimed to give the general algorithm of the methods, to make some addendums on the methods and to present new approaches to these methods for the researchers. We strongly believe that the study will be of great benefit not only for those who are interested in nonlinear evolution problems, but also for studies in the field optics.