On the revealing of optical soliton solutions of the stochastic perturbed nonlinear Schrödinger equation in the presence of the Kerr law of self-phase modulation

Önder, İsmail; Özışık, Müslüm; Seçer, Aydın; Bayram, Mustafa

doi:10.20852/ntmsci.2023.504

On the revealing of optical soliton solutions of the stochastic perturbed nonlinear Schrödinger equation in the presence of the Kerr law of self-phase modulation

Önder İ., Özışık M., Seçer A., Bayram M.

New Trends in Mathematical Sciences, cilt.11, sa.4, ss.12-16, 2023 (Düzenli olarak gerçekleştirilen hakemli kongrenin bildiri kitabı)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 11 Sayı: 4
Basım Tarihi: 2023
Doi Numarası: 10.20852/ntmsci.2023.504
Dergi Adı: New Trends in Mathematical Sciences
Derginin Tarandığı İndeksler: Other Indexes
Sayfa Sayıları: ss.12-16
Yıldız Teknik Üniversitesi Adresli: Evet

Özet

Abstract: In this study, an attempt to obtain optical soliton solutions of stochastic perturbed (1+1)-dimensional nonlinear Schrödinger equation having the Kerr law nonlinearity is presented. With the help of complex wave transform, the investigated nonlinear partial differential equation was converted into the nonlinear ordinary differential form. Analytical stochastic optical soliton solutions of the ordinary differential form were derived by applying the Kudryashov auxiliary equation method. By replacing the wave transformation and the appropriate solution set parameters, the main equation is provided. Graphic presentations were made for better interpretation of the results.