Application of some nonclassical methods for p-defocusing complex Klein–Gordon equation

Yokus A., İSKENDEROĞLU G., KAYA D.

Optical and Quantum Electronics, cilt.55, sa.5, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s11082-023-04649-4
  • Dergi Adı: Optical and Quantum Electronics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: Partial differential equation, 1/G'method, Kudryashov transformation, Klein-Gordon equation
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

This research studies the high-energy Klein–Gordon equation, related to the relativistic Schrödinger wave equation. Solutions are produced using the Kudryashov transform and conventional wave transform. The study’s most significant finding is the examination of the physical and mathematical differences in the traveling wave solutions, derived using two alternative transformations. The graphs of the intensity of the wave function and the conclusions at various velocity levels are also examined. The stability analysis of the moving waves, which coincides with Graham’s diffusion law, of the relationship between wave velocity and density is examined and its relationship with the propagation equation is investigated.