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Some new highest-wave solutions for deep-water waves of permanent form

✍ Scribed by Olfe, D. B.; Rottman, James W.

Book ID
120109814
Publisher
Cambridge University Press
Year
1980
Tongue
English
Weight
188 KB
Volume
100
Category
Article
ISSN
0022-1120

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πŸ“œ SIMILAR VOLUMES

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Consider a uniform train of surface waves with a two-dimensional, bi-periodic surface pattern, propagating on deep water. One approximate model of the evolution of these waves is a pair of coupled nonlinear SchrΓΆdinger equations, which neglects any dissipation of the waves. We show that in this mode

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Using the KAM method, we exhibit some solutions of a finite-dimensional approximation of the Zakharov Hamiltonian formulation of gravity water waves, which are spatially periodic, quasi-periodic in time, and not permanent form travelling waves. For this Hamiltonian, which is the total energy of the