Abstract:
We derive compact spatial Hamiltonian equation for the gravity waves on the deep water. The equation is dynamical one, it can describe extreme waves. Also equation for envelope of wave train is obtained.
Citation:
A. I. Dyachenko, V. E. Zakharov, “Spatial equation for water waves”, Pis'ma v Zh. Èksper. Teoret. Fiz., 103:3 (2016), 200–203; JETP Letters, 103:3 (2016), 181–184