Capillary-gravity waves on the surface of deep fluid (Q2701722)

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Capillary-gravity waves on the surface of deep fluid
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    19 February 2001
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    free-surface potential flows
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    group-invariant bifurcation theory
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    Capillary-gravity waves on the surface of deep fluid (English)
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    Periodical potential flows of heavy capillary fluid in spatial layer with infinite depth and free upper boundary are defined at the usage of bifurcation theory and group analysis methods [\textit{B. V. Loginov}, `Solutions branching of nonlinear equations and group symmetry' (Russian), Vestnik Samara Univ. No. 4(10), 15-70 (1998)]. The case of 4-dimensional degeneration of the linearized operator is investigated.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00026].
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