| Title: |
New abundant analytical solutions of coupled nonlinear Schrödinger (FNSE) equation in fractal order arising in quantum mechanics. |
| Authors: |
Alshahrani, Maryam, Ouahid, Loubna, Abdou, M. A., Kumar, Sachin, Al Shahrani, Jameelah S. |
| Source: |
Optical & Quantum Electronics; May2024, Vol. 56 Issue 5, p1-34, 34p |
| Subject Terms: |
QUANTUM mechanics, NONLINEAR Schrodinger equation, ANALYTICAL solutions, SPACETIME |
| Abstract: |
In this work, we investigate coupled space–time fractional nonlinear Schrödinger equation (FNSE) arising in physics. The FNSE can be utilized to explain non-relativistic quantum mechanical phenomena. With the aid of the conformable fractional derivative (CFD) and fractional complex transform (FCT), we implement the extensive direct algebraic approach (EDAA), the behaviors of some of the generated solutions are shown as 3D-graphics for various with different fractal orders. The optical soliton solutions that are bright periodic, kink bright and kink-bright periodic are among these precise solutions. The acquired results demonstrate the simplicity, effectiveness, and capacity to produce additional kinds of exact solutions of these proposed methods, which are useful in deciphering the intricate physical interpretation of space–time FNSE. [ABSTRACT FROM AUTHOR] |
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| Database: |
Complementary Index |
