ON THE PERIODIC SOLITON SOLUTIONS FOR FRACTIONAL SCHRÖDINGER EQUATIONS
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this research, we use a novel version of the Extended Direct Algebraic Method (EDAM) namely generalized EDAM (gEDAM) to investigate periodic soliton solutions for nonlinear systems of fractional Schr & ouml;dinger equations (FSEs) with conformable fractional derivatives. The FSEs, which is the fractional abstraction of the Schr & ouml;dinger equation, grasp notable relevance in quantum mechanics. The proposed gEDAM technique entails creating nonlinear ordinary differential equations via a fractional complex transformation, which are then solved to acquire soliton solutions. Several 3D and contour graphs of the soliton solutions reveal periodicity in the wave profiles that offer crucial perspectives into the behavior of the system. The work sheds light on the dynamics of FSEs by displaying numerous families of periodic soliton solutions and their intricate relationships. These results hold significance not only for comprehending the dynamics of FSEs but also for nonlinear fractional partial differential equation applications.
Açıklama
Anahtar Kelimeler
Fractional Schr & ouml;dinger Equations, Quantum Mechanics, Closed Form Solutions, Generalized Extended Direct Algebraic Method, Analytical Method
Kaynak
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
32
Sayı
07N08
