Wave propagation behavior in nonlinear media and resonant nonlinear interactions

Abstract

The nonlinear Landau–Ginsberg–Higgs model, which depicts wave propagation in nonlinear media with a scattering system, classifies wave velocities, and effectively generates real events, is examined in this article. We use the recently enhanced couple of rising procedures to extract the important, applicable, and further general solitary wave solutions to the formerly stated nonlinear wave model via the complex traveling wave transformation. The solitons are constructed in terms of hyperbolic, exponential, rational, and trigonometric functions as well as their integration. The physical implications of the extracted wave solutions for the specific values of the resultant parameters are illustrated graphically, and the internal structure of the connected physical phenomena is analyzed using the Wolfram Mathematica program. This study shows that the method utilized is effective and may be used to find appropriate closed-form solitary solitons to a variety of nonlinear evolution equations (NLEEs).