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Variational approach to higher-order water-wave equations. (English) Zbl 1131.76015
Summary: A family of variational principles is obtained for the high-order water-wave problem by the semi-inverse method proposed by J.-H. He [Int. J. Turbo Jet Engines 14, No. 1, 23–28 (1997)]. A new water-wave equation is deduced from the obtained variational principle.

MSC:
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
76M30 Variational methods applied to problems in fluid mechanics
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