Specific Wave Structures of a Fifth-Order Nonlinear Water Wave Equation

Abstract

Investigated in the present paper is a fifth-order nonlinear evolution (FONLE) equation, known as a non-linear water wave (NLWW) equation, with applications in the applied sciences. More precisely, a travel-ing wave hypothesis is firstly applied that reduces the FONLE equation to a 1D domain. The Kudryashov methods (KMs) are then adopted as leading techniques to construct specific wave structures of the gov-erning model which are classified as W-shaped and other solitons. In the end, the effect of changing the coefficients of nonlinear terms on the dynamical features of W-shaped and other solitons is investigated in detail for diverse groups of the involved parameters.(c) 2021 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )