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physics.class-ph2011★ 22 cited
Hamiltonian form and solitary waves of the spatial Dysthe equations
Francesco Fedele, Denys Dutykh
The spatial Dysthe equations describe the envelope evolution of the free-surface and potential of gravity waves in deep waters. Their Hamiltonian structure and new invariants are u…
physics.class-ph2011
Hamiltonian description and traveling waves of the spatial Dysthe equations
Francesco Fedele, Denys Dutykh
The spatial version of the fourth-order Dysthe equations describe the evolution of weakly nonlinear narrowband wave trains in deep waters. For unidirectional waves, the hidden Hami…