On the interaction phenomena to the nonlinear generalized Hietarinta-type equation  

作　　者：Usman Younas T.A.Sulaiman Jingli Ren A.Yusuf 

机构地区：[1]State Key Laboratory of Power Grid Environmental Protection/Henan Academy of Big Data,Zhengzhou University,Zhengzhou 450001,China [2]Faculty of Science,Federal University Dutse,Jigawa,Nigeria [3]Department of Computer Engineering,Biruni University Istanbul,Turkey

出　　处：《Journal of Ocean Engineering and Science》2024年第1期89-97,共9页海洋工程与科学（英文）

基　　金：support provided for this research via Open Fund of State Key Laboratory of Power Grid Environmental Protection (No.GYW51202101374).

摘　　要：In this paper,we describe the nonlinear behavior of a generalized fourth-order Hietarinta-type equa-tion for dispersive waves in(2+1)dimension.The various wave formations are retrieved by using Hirota’s bilinear method(HBM)and various test function perspectives.The Hirota method is a widely used and robust mathematical tool for finding soliton solutions of nonlinear partial differential equa-tions(NLPDEs)in a variety of disciplines like mathematical physics,nonlinear dynamics,oceanography,engineering sciences,and others requires bilinearization of nonlinear PDEs.The different wave structures in the forms of new breather,lump-periodic,rogue waves,and two-wave solutions are recovered.In addi-tion,the physical behavior of the acquired solutions is illustrated in three-dimensional,two-dimensional,density,and contour profiles by the assistance of suitable parameters.Based on the obtained results,we can assert that the employed methodology is straightforward,dynamic,highly efficient,and will serve as a valuable tool for discussing complex issues in a diversity of domains specifically ocean and coastal engineering.We have also made an important first step in understanding the structure and physical be-havior of complex structures with our findings here.We believe this research is timely and relevant to a wide range of engineering modelers.The results obtained are useful for comprehending the fundamental scenarios of nonlinear sciences.

关 键 词：Hirota’s bilinear method Lump-periodic solutions Breather waves Rouge waves Multi-waves 

分 类 号：O17[理学—数学]