Thacker, "Some exact solutions to the nonlinear shallow-water wave
equations," Journal of Fluid Mechanics, vol.
Analytic solution of the linearized shallow-water wave
equations for certain continuous depth variations.
Infeld, "Energy invariant for shallow-water waves
and the Korteweg-de Vries equation: Doubts about the invariance of energy," Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, vol.
Shen, "Simulation of shallow-water waves
in coastal region for marine simulator," in Proceedings of the 7th ACM SIGGRAPH International Conference on Virtual-Reality Continuum and Its Applications in Industry (VRCAI '08), p.
Ira Didenkulova, Efim Pelinovsky and Artem Rodin study numerically the interaction of long and steep shallow-water waves
, a problem that sheds some further light to the formation of shock waves and bores during propagation of tsunamis.
They cover shallow-water waves
, water-level fluctuations, coastal structures, challenges to developing and designing offshore structures, ports and harbors, coastal sediment processes, the flow of water and nutrients in enclosed bays, sustainable coastal development, coastal hazards, physical modeling, and coastal engineering practice and education.
Interaction of unidirectional weakly nonlinear and dispersive shallow-water waves
is usually studied in the framework of the Korteweg-de Vries (KdV) equation [1-4].