Journal of Applied Mathematics and Physics

Volume 12, Issue 2 (February 2024)

ISSN Print: 2327-4352   ISSN Online: 2327-4379

Google-based Impact Factor: 1.00  Citations  

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

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DOI: 10.4236/jamp.2024.122030    126 Downloads   386 Views  

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.

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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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