SOLITARY WAVES OF THE BONA - SMITH SYSTEM

V. A. DOUGALIS, D. E. MITSOTAKIS
2004 Advances in Scattering and Biomedical Engineering  
We consider the Bona -Smith family of Boussinesq systems and show, following Toland's theory, that it possesses solitary wave solutions for each k > 1, where k is the speed of propagation of the wave. In addition, the solitary waves are shown to be unique if k is small enough. We also make a brief computational study of the stability of these solitary waves.
doi:10.1142/9789812702593_0030 fatcat:fbbrojatvjarlenuqxweoh57u4