Resonantly interacting solitary waves

摘要: Resonant (phase-locked) interactions among three obliquely oriented solitary waves are studied. It is shown that such associated with the parametric end points of singular regime for between two waves. The latter include regular reflexion at a rigid wall, which impossible ϕi < (3α)½ (ϕ = angle incidence, α amplitude/depth [Lt ] 1), and it observed phenomenon ‘Mach reflexion’ can be described as resonant interaction in this regime. run-up wall calculated function ϕi/(3α)½ found to have maximum value 4αd (3α)½. This same also describes diffraction wave corner internal π − ψi, −(3α)½, suggests cannot turn through an excess convex without separating or otherwise losing its identity.