Secondary criticality of water waves. Part 2. Unsteadiness and the BenjaminFeir instability from the viewpoint of hydraulics
نویسنده
چکیده
The theory for criticality presented in Part 1 is extended to the unsteady problem, and a new formulation of the Benjamin–Feir instability for Stokes waves in finite depth coupled to a mean flow, which takes the criticality matrix as an organizing centre, is presented. The generation of unsteady dark solitary waves at points of stability changes and their connection with the steady dark solitary waves of Part 1 are also discussed.
منابع مشابه
Secondary criticality of water waves. Part 1. Definition, bifurcation and solitary waves
A generalization of criticality – called secondary criticality – is introduced and applied to finite-amplitude Stokes waves. The theory shows that secondary criticality signals a bifurcation to a class of steady dark solitary waves which are biasymptotic to a Stokes wave with a phase jump in between, and synchronized with the Stokes wave. We find the that the bifurcation to these new solitary w...
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تاریخ انتشار 2006