Numerical experiments on the 2D Kaup-Broer-Kuperschmidt Boussinesq system show soliton-type solutions are unstable to dispersion and singularity formation, with no stable structures found for line solitons or localized initial data.
Barros , Local well-posedness for the super-Korteweg-de Vries equation , Nonlinear Analysis 68 (2008), 1581-1584
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Numerical study of the 2D Kaup-Broer-Kuperschmidt Boussinesq system
Numerical experiments on the 2D Kaup-Broer-Kuperschmidt Boussinesq system show soliton-type solutions are unstable to dispersion and singularity formation, with no stable structures found for line solitons or localized initial data.