High-dimensional nonlinear variable separation solutions and novel wave excitations for the(4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation  

作　　者：Zu-feng Liang Xiao-yan Tang Wei Ding 

机构地区：[1]Department of Physics,Hangzhou Normal University,Hangzhou 310036,China [2]School of Mathematical Sciences,Key Laboratory of Mathematics and Engineering Applications(Ministry of Education)&Shanghai Key Laboratory of PMMP,East China Normal University,Shanghai 200241,China [3]School of Computer Science and Technology,Shanghai Normal University,Shanghai 200234,China

出　　处：《Communications in Theoretical Physics》2024年第11期1-11,共11页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.12275085 and 12235007);the Science and Technology Commission of Shanghai Municipality (Grant No.22DZ2229014)。

摘　　要：Considering the importance of higher-dimensional equations that are widely applied to real nonlinear problems,many(4+1)-dimensional integrable systems have been established by uplifting the dimensions of their corresponding lower-dimensional integrable equations.Recently,an integrable(4+1)-dimensional extension of the Boiti-Leon-Manna-Pempinelli(4DBLMP)equation has been proposed,which can also be considered as an extension of the famous Korteweg-de Vries equation that is applicable in fluids,plasma physics and so on.It is shown that new higher-dimensional variable separation solutions with several arbitrary lowerdimensional functions can also be obtained using the multilinear variable separation approach for the 4DBLMP equation.In addition,by taking advantage of the explicit expressions of the new solutions,versatile(4+1)-dimensional nonlinear wave excitations can be designed.As an illustration,periodic breathing lumps,multi-dromion-ring-type instantons,and hybrid waves on a doubly periodic wave background are discovered to reveal abundant nonlinear structures and dynamics in higher dimensions.

关 键 词：(4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation variable separation solution periodic breathing lumps multi-dromion-ring-type instanton hybrid waves on a doubly periodic wave background 

分 类 号：O175[理学—数学]