Dynamical rational solutions and their interaction phenomena for an extended nonlinear equation  

作　　者：Karmina K Ali Abdullahi Yusuf Wen-Xiu Ma 

机构地区：[1]Department of Mathematics,University of Zakho,Zakho,Iraq [2]Department of Computer Engineering,Biruni University,Istanbul,Turkey [3]Department of Computer Science and Mathematics,Lebanese,American University,Beirut,Lebanon [4]Department of Mathematics and Statistics,University of South Florida,Tampa,FL 33620,United States of America [5]Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China [6]Department of Mathematics,King Abdulaziz University,Jeddah 21589,Saudi Arabia [7]School of Mathematical and Statistical Sciences,North-West University,Mafikeng Campus,Mmabatho 2735,South Africa

出　　处：《Communications in Theoretical Physics》2023年第3期1-11,共11页理论物理通讯（英文版）

摘　　要：In this paper,we analyze the extended Bogoyavlenskii-Kadomtsev-Petviashvili(eBKP)equation utilizing the condensed Hirota's approach.In accordance with a logarithmic derivative transform,we produce solutions for single,double,and triple M-lump waves.Additionally,we investigate the interaction solutions of a single M-lump with a single soliton,a single M-lump with a double soliton,and a double M-lump with a single soliton.Furthermore,we create sophisticated single,double,and triple complex soliton wave solutions.The extended Bogoyavlenskii-Kadomtsev-Petviashvili equation describes nonlinear wave phenomena in fluid mechanics,plasma,and shallow water theory.By selecting appropriate values for the related free parameters we also create three-dimensional surfaces and associated counter plots to simulate the dynamical characteristics of the solutions offered.

关 键 词：simplified Hirota's method lump solution mixed solution complex multiple soliton eBKP equation 

分 类 号：O175[理学—数学]