Optical soliton and bifurcation phenomena in CNLSE-BP through the CDSPM with sensitivity analysis

In this manuscript, our objective is to illustrate the bifurcation, wave structure and topological properties of the Chiral nonlinear Schrödinger equation (CNLSE) with Bohm potential (CNLSE-BP). This equation is used in quantum mechanics and nonlinear optics to describe the behavior of wave packets or solitons in various physical systems. We study the bifurcation analysis of our governing model; bifurcation analysis is helpful in finding how systems change and exhibit various behaviors in response to changes in parameters or initial conditions. Furthermore, we obtain the optical solitons and exact solutions by the complete discriminant system (CDS) of polynomial method (CDSPM) and also present the graphical behaviour of these solutions. Optical solitons are stable, localized wave packets of light that can travel over long distances without spreading. We also get optical solitons and wave structure like as Jacobian elliptic function (JEF), hyperbolic function, trigonometric function solutions, and rational function solution as well as also convert the JEF into solitary wave (SW) solutions. A sensitivity analysis is also carry out for various initial conditions. Moreover, the findings offer a way to investigate optical solitons and exact solutions of pulse propagation in optical fibers.