Exploring optical solutions of (3+1)-dimensional Kairat-X equation


ÇEVİKEL A. C.

Kuwait Journal of Science, cilt.53, sa.1, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1016/j.kjs.2025.100504
  • Dergi Adı: Kuwait Journal of Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Arab World Research Source, MathSciNet, zbMATH, Directory of Open Access Journals, Academic Search Ultimate (EBSCO)
  • Anahtar Kelimeler: (3+1)-dimensional Kairat-X equation, Optical solitons, Traveling wave solution
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

The current research focuses on establishing an analytical approach to an equation that is very important in mathematics and physics. This model is known as the (3+1)-dimensional Kairat-X equation (K-XE), which describes the trajectory of optical pulses in optical fibers. This study presents solutions to the nonlinear (3+1)-dimensional Kairat-X equation (K-XE). Using four distinct approaches, we have found new exact trigonometric, hyperbolic and exponential solutions of the (3+1) dimensional Kairat-X equation (K-XE), which are not found in the literature. Using the computational program Maple, various solutions are presented in three dimensions to illustrate the physical phenomena of this model. This is done by assigning particular values to the constraint parameters. Therefore, our work’s inventiveness is demonstrated by the application of many types of new solutions and newly employed creative ways. This facilitates additional research into nonlinear models that realistically capture important physical processes in daily life. Up until now, these solutions to this equation have not been discovered in any literature.