A variety of solitons on the oceans exposed by the Kadomtsev Petviashvili-modified equal width equation adopting different techniques

Abstract

The diverse patterns of waves on the oceans yielded by the Kadomtsev Petviashvili-modified equal width (KP-mEW) equation are highlighted in this paper. Two recent established approaches such as the improved auxiliary equation technique and the enhanced rational (G′/G)-expansion scheme are utilized to construct wave solutions of the proposed governing model. Numerous rational, trigonometric, exponential, and hyperbolic wave solutions bearing many free parameters are successfully acquired in appropriate form. The obtained solutions are plotted in various profiles as three-dimension, two-dimension, and contour to illustrate their physical appearances. The plotting outlines appear in the shapes of singular kink, anti-kink, kink, compacton, anti-compacton, bell, anti-bell, periodic, singular periodic etc. The computational software Maple is used for plotting and checking the validity of the found solutions. This paper claims to be novel for generating new results regarding the earlier results.