Revealing optical soliton solutions of the resonant Schrödinger–Hirota equation having the power law nonlinearity
Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2026
- Doi Numarası: 10.1515/zna-2026-0087
- Dergi Adı: Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, zbMATH, Academic Search Ultimate (EBSCO), Humanities Source Ultimate (EBSCO)
- Anahtar Kelimeler: higher-order dispersion, modulation instability analysis, nonlinear optics, power law nonlinearity, soliton dynamics
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
The study extracts the soliton solutions of the resonant Schrödinger–Hirota equation with a power-law nonlinearity utilizing the subversion of the new extended auxiliary equation and the generalized Kudryashov methods. The model generalizes the standard nonlinear Schrödinger equation by integrating higher-order nonlinearities and spatiotemporal dispersion. The subversion of the new extended auxiliary equation method and the generalized Kudryashov method generate the explicit closed-form soliton solutions, including bright-type and dark-type profiles that depend sensitively on the power-law index and resonant interaction parameters. The characteristics of the modulation instability are further investigated by deriving the gain spectrum via linear stability analysis. The results demonstrate the efficiency and robustness of the subversion of the new extended auxiliary equation method and the generalized Kudryashov method for handling nonlinear evolution equations with complex resonance effects and provide a reliable reference for graphical simulation and physical interpretation of nonlinear wave phenomena in dispersive media.