Exposing the new wave structures of perturbed Chen–Lee–Liu equation with a new local derivative
Zeitschrift fur Angewandte Mathematik und Physik, cilt.77, sa.1, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 77 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.1007/s00033-025-02668-7
- Dergi Adı: Zeitschrift fur Angewandte Mathematik und Physik
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Applied Science & Technology Source, Compendex, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
- Anahtar Kelimeler: The new version trial equation method, Perturbed fractional Chen-Lee-Liu equation, Hyperbolic local derivative, Traveling wave solution.
- Kırklareli Üniversitesi Adresli: Evet
Özet
This study focuses on the perturbed fractional Chen–Lee–Liu equation, which describes nonlinear wave phenomena in plasma physics and optical fiber communication systems. The main goal is to explore complex wave interactions by employing a newly introduced hyperbolic local fractional derivative, providing a more generalized modeling framework than classical approaches. The new version trial equation method is applied to construct exact wave solutions, including rational, exponential, hyperbolic, and Jacobi elliptic forms, whose structures are significantly influenced by the elliptic modulus. The effects of key parameters on wave dynamics are examined through graphical analysis. The results reveal physically relevant structures, such as bright solitons, kink solitons, and chirped traveling solitary waves, and demonstrate how the elliptic modulus can control periodicity and localization, extending and generalizing previous findings in the literature. This work demonstrates the effectiveness of the proposed method and contributes new insights into the study of fractional-order nonlinear systems.