A novel study of the nonlinear Kadomtsev-Petviashvili-modified equal width equation describing the behavior of solitons

摘要

This article deals with the nonlinear Kadomtsev-Petviashvili modified equal width (KP-EW) equation used to model the matter-wave pulses, waves in ferromagnetic media, and long wavelength water waves with frequency dispersion and faintly nonlinear reinstating forces. The suggested model adopts a modification of the wave variable to make a single variable differential equation. Couple of competent techniques, notably the rational (G'/G)-expansion method and the improved tanh method is employed to extract wave solutions in appropriate form. Assorted typical and wide-spectral soliton solutions subject to rational, hyperbolic, and trigonometric functions and their integration are extracted successfully. To illustrate diverse soliton shapes, the obtained solutions are sketched in 3D, 2D, and contour profiles. The impact of velocity changes on soliton formation has also been the focus of this study. A comparative study of established results with existing results is performed, and the novelty of this study is shown.