Abstract:
The results of the linear analysis of the dynamics of small perturbations in the shallow water models are discussed. Boundary problems of Storm Liouville for Saint-Venant's equations and the modified model in approach of Boussinesq in case of a rough bottom are solved. Features of dependences of own frequency from wave number are disputed.
Keywords:model of small water, Boussinesq equation, linear analysis, the wave dispersion.