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A numerical investigation of non-symmetric nonlinear water waves Van-den-Broeck, Jean-Marc

Description

Nonlinear waves travelling at a constant velocity at the surface of a fluid of finite depth are considered. The fluid is assumed to be incompressible and inviscid and the flow to be irrotational. Gravity and surface tension are taken into account. Both two and three dimensional waves are studied. Classical solutions usually assume that the waves are symmetric. We show that there are in addition an infinite number of branches of non-symmetric waves. These include periodic waves, solitary waves and generalised solitary waves. As time permits extensions to hydroelastic waves will be presented.

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