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A mathematical model of the stokes soliton

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Abstract

A mathematical model of a solitary wave of limiting amplitude propagating in a constant-depth channel is developed. The model is based on a conformal mapping of the domain of variation of a complex potential onto a domain approximating the domain of Stokes soliton flow. The results of the model are compared with the known numerical results. Using the model, the streamlines in both movable and fixed coordinate systems, as well as the isotachs, isoclinals, and isobars of the Stokes soliton, are constructed.

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Authors
  1. V. I. Ivanov
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Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 174–180, January–February, 1999.

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Ivanov, V.I. A mathematical model of the stokes soliton. Fluid Dyn 34, 147–152 (1999). https://doi.org/10.1007/BF02698766

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  • DOI: https://doi.org/10.1007/BF02698766

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