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.
Burtea , Long time existence results for bore-type initial data for BBM-Boussinesq systems , .J
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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.