Dynamics of diverse nonlinear water waves to a fifth-order nonlinear soliton model

Abstract

The objective of this study is to examine the dynamic behavior of the fifth-order nonlinear equation
(FONLE) and its practical application in the field of applied mathematics. To achieve this, we first employ a traveling wave transformation technique to convert the FONLE equation into a nonlinear ordinary differential equation. Various exact soliton solutions of FONLE are then obtained using the
G G2-expansion method and the exp(−ϕ(κ)) method. These soliton solutions can be utilized in numerous areas of mathematical physics and nonlinear sciences, including ocean engineering, optical fibers, plasma physics, applied mathematics, and fluid dynamics. The techniques used in this study are applied to this model for the first time.