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Clarkson, P.A. and Dowie, E. (2017) Rational Solutions of the Boussinesq Equation and Applications to Rogue Waves. Transactions of Mathematics and Its Applications, 1, tnx003.
https://doi.org/10.1093/imatrm/tnx003

has been cited by the following article:

• 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.