Diversity of Rogue Wave Solutions to the (1+1)-Dimensional Boussinesq Equation ()
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 relationship with the other parameters c0, α, β.
Share and Cite:
Wang, X. and Huang, J. (2024) Diversity of Rogue Wave Solutions to the (1+1)-Dimensional Boussinesq Equation.
Journal of Applied Mathematics and Physics,
12, 458-467. doi:
10.4236/jamp.2024.122030.
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