HIGHLY DISPERSIVE OPTICAL SOLITONS WITH DIFFERENTIAL GROUP DELAY AND MULTIPLICATIVE WHITE NOISE HAVING KERR LAW OF SELF-PHASE MODULATION
Ukrainian Journal of Physical Optics, cilt.27, sa.3, ss.3196-3224, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.3116/16091833/ukr.j.phys.opt.2026.03196
- Dergi Adı: Ukrainian Journal of Physical Optics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Ultimate (EBSCO)
- Sayfa Sayıları: ss.3196-3224
- Anahtar Kelimeler: birefringent fibers, high-order dispersion, Itô calculus, Kerr nonlinearity, optical solitons
- Karadeniz Teknik Üniversitesi Adresli: Hayır
Özet
This work presents a comprehensive analytical investigation of stochastic optical solitons propagating in highly dispersive birefringent fibers governed by Kerr-law refractive-index nonlinearity in the Itô sense. Starting from a coupled stochastic nonlinear Schrödinger system including high-order dispersion, cross-phase modulation, and Wiener-induced phase fluctuations, a traveling-wave reduction is employed to obtain a deterministic ordinary differential equation for the soliton envelopes after imposing appropriate constraint conditions. Using the modified subsidiary ordinary differential equation sub-ODE method, we derive several families of exact closed-form solutions, including bright, dark, singular, and Weierstrass elliptic structures, together with their corresponding existence conditions. The bright and dark soliton solutions are subsequently analyzed to illustrate the effects of stochastic perturbation. The analytical results reveal how the hierarchy of higher-order dispersion interacts with Kerr nonlinearity to stabilize localized waveforms, while the Itô stochastic term modifies only the internal phase without affecting the soliton modulus. Furthermore, the obtained soliton families satisfy the derived stability conditions, demonstrating that the envelope profiles remain robust despite the presence of multiplicative white noise. These findings provide new insight into noise-driven nonlinear wave propagation in birefringent optical fibers and offer exact analytical benchmarks for ultrafast photonics, nonlinear pulse management, and stochastic optical systems.