TITLE:
Diversity of Rogue Wave Solutions to the (1+1)-Dimensional Boussinesq Equation
AUTHORS:
Xiaoming Wang, Jingjie Huang
KEYWORDS:
Boussinesq Equation, Rogue wave, Periodically Homoclinic Solution, Spatiotemporal Structure
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.2,
February
22,
2024
ABSTRACT: 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 but also has a relationshipwith the other parameters c0, α, β.