Specific wave profiles and closed-form soliton solutions for generalized nonlinear wave equation in(3+1)-dimensions with gas bubbles in hydrodynamics and fluids  

作　　者：Sachin Kumar Ihsanullah Hamid M.A.Abdou 

机构地区：[1]Department of Mathematics,Faculty of Mathematical Sciences,University of Delhi,Delhi 110007,India [2]Department of Mathematics,College of Sciences,University of Bisha,P.O.Box 344,Bisha 61922,Saudi Arabia [3]Physics Department,Faculty of Science,Mansoura University,Mansoura 35516,Egypt

出　　处：《Journal of Ocean Engineering and Science》2023年第1期91-102,共12页海洋工程与科学（英文）

基　　金：the Institution of Emi-nence,University of Delhi,India,for providing financial assistance for this research through the IoE scheme under Faculty Research Programme(FRP)with Ref.No./IoE/2021/12/FRP.

摘　　要：Nonlinear evolution equations(NLEEs)are frequently employed to determine the fundamental principles of natural phenomena.Nonlinear equations are studied extensively in nonlinear sciences,ocean physics,fluid dynamics,plasma physics,scientific applications,and marine engineering.The generalized exponen-tial rational function(GERF)technique is used in this article to seek several closed-form wave solutions and the evolving dynamics of different wave profiles to the generalized nonlinear wave equation in(3+1)dimensions,which explains several more nonlinear phenomena in liquids,including gas bubbles.A large number of closed-form wave solutions are generated,including trigonometric function solutions,hyper-bolic trigonometric function solutions,and exponential rational functional solutions.In the dynamics of distinct solitary waves,a variety of soliton solutions are obtained,including single soliton,multi-wave structure soliton,kink-type soliton,combo singular soliton,and singularity-form wave profiles.These de-termined solutions have never previously been published.The dynamical wave structures of some analyt-ical solutions are graphically demonstrated using three-dimensional graphics by providing suitable values to free parameters.This technique can also be used to obtain the soliton solutions of other well-known equations in engineering physics,fluid dynamics,and other fields of nonlinear sciences.

关 键 词：Closed-form solutions Dynamical wave patterns Analytic solutions Nonlinear wave equation GERF Method Solitary waves SOLITONS 

分 类 号：O175.29[理学—数学]