DISPERSIVE OPTICAL SOLITON PERTURBATION WITH SCHRODINGER-HIROTA EQUATION BY LIE SYMMETRY
Ukrainian Journal of Physical Optics, cilt.27, sa.3, ss.3238-3258, 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.2026.03238
- Dergi Adı: Ukrainian Journal of Physical Optics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Ultimate (EBSCO)
- Sayfa Sayıları: ss.3238-3258
- Anahtar Kelimeler: cnoidal waves, dispersion, Lie symmetry, optical solitons, Schrödinger–Hirota equation
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Karadeniz Teknik Üniversitesi Adresli: Hayır
Özet
This study investigates traveling-wave solutions of a perturbed Schrödinger–Hirota equation that includes third-order dispersion, nonlinear dispersion, intermodal dispersion, self-steepening, and self-frequency-shift terms. The complex equation is decomposed into an equivalent real coupled system, and its Lie point symmetries are determined. A compatible linear combination of the translation and phase-rotation generators yields a traveling-wave reduction, subject to an explicit relation between the phase frequency and the symmetry coefficient. For the zero integration-constant branch, the reduced nonlinear ordinary differential equation is treated with a generalized auxiliary-equation method. Hyperbolic, exponential, and Jacobi-elliptic solution families are obtained under stated nondegeneracy, reality, and denominator conditions. Their limiting behaviors distinguish kink-type, dark-type, bright-type, singular, and nonlocalized profiles. Intensity plots illustrate representative propagation morphologies but are not used as evidence of stability.