Certain analytical solutions of the concatenation model with a multiplicative white noise in optical fibers

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EKİCİ M., Sarmaşık C. A.

Nonlinear Dynamics, cilt.112, sa.11, ss.9459-9476, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 112 Sayı: 11
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s11071-024-09478-y
  • Dergi Adı: Nonlinear Dynamics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, Computer & Applied Sciences, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.9459-9476
  • Anahtar Kelimeler: Breather, Concatenation, Interaction, Kink, Multi-wave, Peregrine, Three-wave, White noise
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In the presence of spatio-temporal dispersion, perturbation terms of the Hamiltonian type as well as multiplicative white noise, analytical investigation of the concatenation model having the Kerr law of nonlinearity is carried out in this work. The Cole–Hopf transformation and direct assumptions with arbitrary functions are utilized to determine several analytic solutions to the governing equation, including multi-wave, two solitary wave, breather, periodic cross kink, Peregrine-like rational, and three-wave solutions. The parameter constraints that serve as the requisite condition for the existence of these wave solutions are also identified. In order to explore and illustrate the propagation and dynamical behaviors of some solutions reported in this research, 3D graphics and their corresponding contour plots are included. Results of this paper may be useful for the experimental realization of certain nonlinear waves in optical fibers and further understanding of their propagation dynamics.