Water waves, nonlinear Schrödinger equations and their solutions
作者： D. H. Peregrine
DOI: 10.1017/S0334270000003891
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摘要: Equations governing modulations of weakly nonlinear water waves are described. The modulations are coupled with wave-induced mean flows except in the case of water deeper than the modulation length scale. Equations suitable for water depths of the order the modulation length scale are deduced from those derived by Davey and Stewartson [5] and Dysthe [6]. A number of ases in which these equations reduce to a one dimensional nonlinear Schrödinger (NLS) equation are enumerated. Several analytical solutions of NLS …
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