No solitary waves exist on 2D deep water
classification
🧮 math.AP
math-phmath.MPphysics.flu-dyn
keywords
solitarywateradmitsasymptoticallydeepequationexistfaster
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The solitary wave problem at the free surface of a two-dimensional, infinitely-deep and irrotational flow of water, under the influence of gravity, is formulated as a nonlinear pseudodifferential equation. A Pohozaev identity is used to show that it admits no solutions which asymptotically vanish faster than linearly.
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