Abstract
Solitary gravity-capillary and flexural-gravity waves in two and three dimensions of space are reviewed in this paper. Numerical methods used to compute the solitary waves are described in detail and typical solutions found over the years are presented. Similarities and differences between the solutions for the two physical problems are discussed.
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Acknowledgements
The authors are grateful to the Erwin Schrödinger International Institute for Mathematics and Physics, Vienna, for the support and hospitality during the 2017 Nonlinear Water Waves—an Interdisciplinary Interface workshop. This work was partially supported by EPSRC grants EP/J019305/1 for Emilian I. Părău and EP/J019569/1 for Jean-Marc Vanden-Broeck.
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Părău, E.I., Vanden-Broeck, JM. (2019). Gravity-Capillary and Flexural-Gravity Solitary Waves. In: Henry, D., Kalimeris, K., Părău, E., Vanden-Broeck, JM., Wahlén, E. (eds) Nonlinear Water Waves . Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-33536-6_11
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