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This work investigates the perturbed nonlinear Schrödinger equation using the modified (G′G2)-expansion method. The obtained results are generalized and classified into classes of trigonometric, hyperbolic, and rational solutions. The kinematics of soliton and kink profiles are very helpful to understand the propagation of electromagnetic waves inside nonlinear optical fibers. The proposed modified method is unique, straightforward, concise, and effective in the sense that it gives more traveling wave solutions. The findings of this study can strengthen a system's nonlinear dynamic behavior and show how practical the methodology used to attempt to replicate has been. Wolfram Mathematica 11 is used for mathematical simplification and MATLAB is used for graphical simulation.

In our recent work, we study a few nonlinear time evolution equations by the sine-cosine method and obtained a variety of generalized solitary and periodic solutions with distinct physical structures. The solutions include periodic solutions, soliton solutions, symmetric periodic soliton solutions, double periodic solutions, multiple soliton solutions, breather solutions, and kink type solutions.

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