Spatial equation for water waves
A compact spatial Hamiltonian equation for gravity waves on deep water has been derived. The equation is dynamical and can describe extreme waves. The equation for the envelope of a wave train has also been obtained.
KeywordsGravity Wave JETP Letter Water Wave Wave Train Canonical Transformation
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- 9.A. I. Dyachenko, D. I. Kachulin, and V. E. Zakharov, J. Fluid Mech. (in press); arXiv:1511.09331 [physics. flu-dyn] (2015).Google Scholar
- 10.A. I. Dyachenko, D. I. Kachulin, and V. E. Zakharov, in Proceedings of the International Conference on Computer Simulation in Physics and Beyond, Moscow, Sept. 6–10, 2015 (2015).Google Scholar
- 11.A. I. Dyachenko, D. I. Kachulin, and V. E. Zakharov, in Extreme Ocean Waves, 2nd ed., Ed. by E. Pelinovsky and C. Harif (Springer, Berlin, 2016).Google Scholar