New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques  

作　　者：Ahmed H.Arnous Mohammad Mirzazadeh Lanre Akinyemi Arzu Akbulut 

机构地区：[1]Department of Physics and Engineering Mathematics,Higher Institute of Engineering,El Shorouk Academy,Cairo,Egypt [2]Department of Engineering Sciences,Faculty of Technology and Engineering,East of Guilan,University of Guilan,Rudsar-Vajargah,Iran [3]Department of Mathematics,Lafayette College,Easton,Pennsylvania,USA [4]Department of Mathematics Computer,Faculty of Art Science,Eskisehir Osmangazi University,Eskisehir,Turkey

出　　处：《Journal of Ocean Engineering and Science》2023年第5期475-480,共6页海洋工程与科学（英文）

摘　　要：In this paper,we discussed the enhanced Kudryashov’s and general projective Riccati equations tech-niques for obtaining exact solutions to the fifth-order nonlinear water wave(FONLWWE)equation.Using the enhanced Kudryashov’s method,we were able to achieve solitary wave and singular soliton solutions.Solitary-shock hybrid wave,singular soliton,and periodic wave solutions were discovered when we em-ployed the general projective Riccati equations approach.We can say the given methods are effective and powerful for obtaining exact solutions.Our findings in this paper are critical for explaining a wide range of scientific and oceanographic applications involving ocean gravity waves and other related phenomena.

关 键 词：Enhanced Kudryashov method Riccati equation Water waves Fifth-order nonlinear model Solitons 

分 类 号：TV139.2[水利工程—水力学及河流动力学]