Scopus
YÖKSİS Eşleşti
Investigating the fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation: an iterative framework for nonlinear wave dynamics
Physica Scripta · Aralık 2024
YÖKSİS Kayıtları
Investigating the fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation: an iterative framework for nonlinear wave dynamics
Physica Scripta · 2024 SCI-Expanded
DOKTOR ÖĞRETİM ÜYESİ MUAMMER AYATA →
Makale Bilgileri
DergiPhysica Scripta
Yayın TarihiAralık 2024
Cilt / Sayfa99
Scopus ID2-s2.0-85209745854
Özet
This paper addresses the solution of the fractional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation using the Conformable Laplace Decomposition Method (CLDM). The CDGSK equation, a fundamental model in wave dynamics and fluid mechanics, is explored for its applications in quantum mechanics and nonlinear optics. By employing fractional calculus, we demonstrate how fractional derivatives influence the physical characteristics of wave propagation in both optical and quantum systems. The exact solutions obtained provide insight into soliton behavior, essential for understanding wave-particle interactions in quantum fields and light-matter interactions in optics. The fractional nature of the equation allows for more accurate modeling of non-integer order dynamics commonly found in optical fibers and quantum waveguides. The CLDM method proves to be highly effective, providing approximate solutions with minimal computational effort. These findings offer significant contributions to the fields of quantum mechanics and nonlinear optics, where the fractional CDGSK equation can be applied to solve complex wave equations with great accuracy.
Yazarlar (1)
1
Muammer Ayata
ORCID: 0000-0001-9436-6414
Anahtar Kelimeler
adomian decomposition method
Caudrey Dodd Gibbon Sawada Kotera equation
conformable fractional derivative
conformable laplace decompositon method
nonlinear optics
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey
Metrikler
2
Atıf
1
Yazar
5
Anahtar Kelime