An integro-differential equation for surface ocean waves with finite depth

作者: Maomao Cai , Dening Li

DOI: 10.1016/J.NA.2011.04.029

关键词: Partial differential equationIntegro-differential equationStability (probability)Surface waveMathematical analysisSurface (mathematics)Wave equationSurface oceanMathematicsKadomtsev–Petviashvili equationApplied mathematicsAnalysis

摘要: Abstract An explicit integro-differential equation formulation is derived for surface ocean waves with finite depth. The involves only 2D variables. For this equation, we establish the stability and existence of solutions, explain effect depth on wave properties.

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