OPTICAL SOLITON SOLUTIONS, BIFURCATION, AND STABILITY ANALYSIS OF THE CHEN-LEE-LIU MODEL

Optical soliton solutions, bifurcation, and stability analysis of the Chen-Lee-Liu model

Optical soliton solutions, bifurcation, and stability analysis of the Chen-Lee-Liu model

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The Chen-Lee -Liu model has many applications in assorted fields, particularly in the study of nonlinear dynamics, chaos theory, circuit design, signal processing, secure communications, shibori dot fabric encryption and decryption of chaotic signals, as well as cryptography.The modified extended auxiliary equation mapping method has been applied to the Chen-Lee-Liu model in this article and explores new wave profiles, such as singular periodic solutions, periodic solutions, and kink-type soliton solutions.The complex wave conversion is considered to make a simple differential equation.Three- and two-dimensional images are plotted using Mathematica and MATLAB, and their dispersion and nonlinearity effects are discussed.We also discuss the bifurcation analysis of the studied model.

The stability of the equilibrium points is studied, and the phase portrait of the system is presented graphically.The obtained wave profiles might play ad24ce an important role in telecommunication systems, fiber optics, and nonlinear optics.

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