Water Waves and Integrability

Details Water Waves and Integrability Water Waves and Integrability

2007-07-12

arxiv.org/abs/0707.1839v1

Phil. Trans. R. Soc. A, vol.365 (2007) 2267--2280

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX, 18 pages, 2 figures, Philos. Trans. Roy. Soc.: Ser. A, Theme Issue 'Water waves' (2007)

Scientific paper

10.1098/rsta.2007.2007

The Euler's equations describe the motion of inviscid fluid. In the case of shallow water, when a perturbative asymtotic expansion of the Euler's equations is taken (to a certain order of smallness of the scale parameters), relations to certain integrable equations emerge. Some recent results concerning the use of integrable equation in modeling the motion of shallow water waves are reviewed in this contribution.

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