Diversity of Rogue Wave Solutions to the (1+1)-Dimensional Boussinesq Equation  

作　　者：Xiaoming Wang Jingjie Huang Xiaoming Wang;Jingjie Huang(College of Mathematics and Statistics, Jishou University, Jishou, China)

机构地区：[1]College of Mathematics and Statistics, Jishou University, Jishou, China

出　　处：《Journal of Applied Mathematics and Physics》2024年第2期458-467,共10页应用数学与应用物理（英文）

摘　　要：A periodically homoclinic solution and some rogue wave solutions of (1+1)-dimensional Boussinesq equation are obtained via the limit behavior of parameters and different polynomial functions. Besides, the mathematics reasons for different spatiotemporal structures of rogue waves are analyzed using the extreme value theory of the two-variables function. The diversity of spatiotemporal structures not only depends on the disturbance parameter u0 </sub>but also has a relationship with the other parameters c₀, α, β.A periodically homoclinic solution and some rogue wave solutions of (1+1)-dimensional Boussinesq equation are obtained via the limit behavior of parameters and different polynomial functions. Besides, the mathematics reasons for different spatiotemporal structures of rogue waves are analyzed using the extreme value theory of the two-variables function. The diversity of spatiotemporal structures not only depends on the disturbance parameter u0 </sub>but also has a relationship with the other parameters c₀, α, β.

关 键 词：Boussinesq Equation Rogue wave Periodically Homoclinic Solution Spatiotemporal Structure 

分 类 号：O17[理学—数学]