Melnikov analysis and inverse spectral analysis of rogue waves in deep water
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Publication:2432804
DOI10.1016/j.euromechflu.2006.02.005zbMath1103.76012OpenAlexW2036363734MaRDI QIDQ2432804
Publication date: 25 October 2006
Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechflu.2006.02.005
Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
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- Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation
- The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Exact integration of nonlinear Schrödinger equation
- Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
- A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water
- Orbits homoclinic to resonances: The Hamiltonian case
- Morse and Melnikov functions for NLS PDE's
- Physical mechanisms of the rogue wave phenomenon.
- Homoclinic chaos increases the likelihood of rogue wave formation
- Mel'nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation
- Predicting rogue waves in random oceanic sea states
- METHODS OF ALGEBRAIC GEOMETRY IN THE THEORY OF NON-LINEAR EQUATIONS
- Ocean Waves
- Frequency downshift in three-dimensional wave trains in a deep basin
- On the chance of freak waves at sea
- Mel'nikov analysis of a symmetry-breaking perturbation of the NLS equation
- Long-time dynamics of the modulational instability of deep water waves
- Unsteady water wave modulations: Fully nonlinear solutions and comparison with the nonlinear Schrödinger equation.