Investigating novel optical soliton solutions for a generalized (3+1)-dimensional q-deformed equation
Year: 2024
Type: article
Abstract: In this study, we investigate the (3+1) q-deformed tanh-Gordon equation due to its importance in the context of mathematical physics. It describes solitonic solutions in quantum field theory; it can sometimes be used in condensed matter physics to describe interactions between particles in magnetic materials or superconductors; it can model light propagation in nonlinear optical fibers or photonic crystals where the refractive index has a q-deformed structure; and it also can be applied in studying shock waves, turbulence and rogue waves where the deformation introduces corrections to classical wave phenomena. Utilizing the $$(\frac{{\mathfrak {G}}^{\prime }}{\omega {\mathfrak {G}}^{\prime }+{\mathfrak {G}}+r})$$ ( G ′ ω G ′ + G + r ) -expansion technique, we derive novel analytical solutions that enhance our understanding of the underlying dynamics. Additionally, we employ a finite element method (extended cubic B-spline method) to validate our analytical findings and explore the behavior of the q-deformed equation under different parameter regimes. Our results demonstrate the versatility of the q-deformed framework in generating rich optical phenomena, paving the way for future research in both theoretical and applied physics.
Author: Khalid K. Ali
Institution: Al-Azhar University
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,390
Funder: Al-Azhar University
OpenAlex ID: W4403783482