For the Klein-Gordon-Boussinesq system, the paper proves local well-posedness and blow-up/global existence conditions, derives solitary wave existence, and numerically confirms the KdV approximation.
Boussinesq, Théorie des ondes et des remous qui se prop agent le long d’un canal rectangulaire horizontal, J
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Mathematical properties of Klein-Gordon-Boussinesq systems
For the Klein-Gordon-Boussinesq system, the paper proves local well-posedness and blow-up/global existence conditions, derives solitary wave existence, and numerically confirms the KdV approximation.