【摘 要】
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When the effects of capillarity and gravity are balanced, solitary surface waves have been found numerically in several model equations and also in the full
【机 构】
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DepartmentofMathematics,UniversityofWisconsin-Madison,Madison.WI53706.U.S.A..
【出 处】
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International Conference Nonlinear Waves-Theory and Applicat
论文部分内容阅读
When the effects of capillarity and gravity are balanced, solitary surface waves have been found numerically in several model equations and also in the full Euler equations [1,2,3].This is true in two-and three-dimensions and for all depth regimes, from shallow water to infinite depth.In shallow water there are rigorous proofs of the existence of these waves and there have been several studies, based on model KdV and KP-type equations, of their dynamics [4,5].In the more relevant infinite depth regime there is little known about the stability and dynamics of these waves.In two dimensions the stability was studied in [6] and the dynamics of the waves within a model equation in [7].We present here some results from [7] and new results on the stability and dynamics of these waves in three-dimensions.
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