Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients

Variable coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and nonuniformities of boundaries than their counter constant coefficients in some real-world problems. Under consideration is a nonlinear variable coefficients Schrodinger's equation with spatio-temporal dispersion in the Kerr law media. We are aimed at constructing novel solutions to the equation under consideration. Bright and combined dark-bright optical solitons are successfully revealed with aid of the complex amplitude ansatz scheme. Using two test functions, two nonautonomous complex wave solutions in dark and bright optical solitons forms are successfully revealed. The effect of the variable coefficients on the reported results can be clearly seen on the 3-dimensional and contour graphs.

Automated summary

The study focuses on a nonlinear variable coefficients Schrodinger's equation with spatio-temporal dispersion in Kerr law media, aiming to construct novel solutions using a complex amplitude ansatz scheme. Bright and combined dark-bright optical solitons are successfully revealed, along with two nonautonomous complex wave solutions in dark and bright optical solitons forms. The impact of variable coefficients on the reported results is clearly shown in 3-dimensional and contour graphs.