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- W4298870744 abstract "We provide analytic solutions of the nonlinear differential equation system describing the particle paths below small-amplitude periodic gravity waves travelling on a constant vorticity current. We show that these paths are not closed curves. Some solutions can be expressed in terms of Jacobi elliptic functions, others in terms of hyperelliptic functions. We obtain new kinds of particle paths. We make some remarks on the stagnation points which could appear in the fluid due to the vorticity." @default.
- W4298870744 created "2022-10-02" @default.
- W4298870744 creator A5049548475 @default.
- W4298870744 date "2011-06-20" @default.
- W4298870744 modified "2023-09-27" @default.
- W4298870744 title "Elliptic and hyperelliptic functions describing the particle motion beneath small-amplitude water waves with constant vorticity" @default.
- W4298870744 doi "https://doi.org/10.48550/arxiv.1106.3824" @default.
- W4298870744 hasPublicationYear "2011" @default.
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