Bifurcation, optical solutions, and modulation instability analysis of the complex nonlinear (2+1)-dimensional δ-potential Schrödinger equation
Year: 2025
Type: article
Abstract: This study conducts a thorough examination of the nonlinear (2+1)-dimensional time-space fractional Schrödinger equation associated with a δ-potential.Initially, bifurcation theory is employed to analyze the bifurcation, and the phase portrait of the solutions is subsequently investigated.Thereafter, the enhanced Cham technique is utilized to derive various types of traveling wave solutions, including periodic multi-wave solitons, condal waves, and kinks.Additionally, graphical representations of several obtained solutions are provided to facilitate a clearer understanding of the dynamic behaviors of the results.Furthermore, a linear stability analysis approach is introduced to perform an instability-modulated estimation for the model under scrutiny.The findings illustrate the effectiveness and versatility of our methodology in relation to other mathematical and physical models.
Language: English
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415380752