Abstract
Nematicons in liquid crystals with Kerr law nonlinearity are studied using three recent analytical techniques. An essential goal of this study is to discover a variety of nonlinear system solution types, such as singular and solitary wave solutions in both bright and dark states. It also seeks to highlight its answers’ uniqueness by comparing and contrasting with previously published results achieved via other approaches. Two-dimensional, three-dimensional, contour, polar, and spherical graphics have been used to demonstrate specific solutions. Their performance shows the effectiveness of imposed methods in solving nonlinear evolution equations. Many different domains, including optics, fluid dynamics, gaseous plasma, and acoustics, rely on molecules’ characteristics in liquid crystals.
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