| description abstract | In the present paper, the new Kudryashov approach is utilized to construct several novel optical
soliton solutions for the generalized integrable (2 + 1)-dimensional nonlinear Schrödinger
system with conformable derivative. Additionally, the dynamics of bifurcation behavior and
chaos analysis in this system are investigated. We applied bifurcation and chaos theories to
enhance our understanding of the planar dynamical system derived from the current model
while we obtained and illustrated the chaotic solutions for the perturbed dynamical system using
graphs. The study yields a class of new optical soliton solutions, including bell-shaped, wave,
dark, dark-bright, dark, multi-dark, and singular soliton solutions. Three-dimensional, twodimensional,
and contour plots are presented to visually demonstrate the physical implications
and dynamic characteristics of the current conformable equation system. Further, an analysis
is discussed on how the conformable derivative parameter and the parameter of time impact
the present optical solutions, demonstrating the system’s importance. It is believed that the
solutions analyzed in this study are entirely new and have not been previously reported. These
discoveries have the potential to significantly enhance our understanding of nonlinear physical
phenomena, especially in nonlinear optics and traffic signaling effects with optical dromion
transmission. | en_US |
