The modulational instability in deep water under the action of wind and dissipation
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Citations
Modulation Instability and Phase-Shifted Fermi-Pasta-Ulam Recurrence.
Approximate rogue wave solutions of the forced and damped nonlinear Schrödinger equation for water waves
Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model
Nonlinear fast growth of water waves under wind forcing
Wave amplification in the framework of forced nonlinear Schrödinger equation: The rogue wave context
References
The effects of randomness on the stability of two-dimensional surface wavetrains
Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
Experimental study of the stability of deep-water wave trains including wind effects
Experimental study of the influence of wind on Benjamin-Feir sideband instability
A note on stabilizing the Benjamin Feir instability
Related Papers (5)
Frequently Asked Questions (10)
Q2. What is the recurrence of the Fermi–Pasta–Ul?
The evolution of a two-dimensional nonlinear wave train on deep water, in the absence of dissipative effects, exhibits the Fermi–Pasta–Ulam recurrence phenomenon.
Q3. Why did they assume that damping might affect the early development of rogue waves?
Since damping affects the modulational instability of waves in deep water, they assumed that it might affect the early development of rogue waves.
Q4. What is the phase shift between the wind and the water waves?
For an energy flux to occur from the wind to the water waves, there must be a phase shift between the fluctuating pressure and the interface.
Q5. What is the purpose of this paper?
The present paper is aimed at reporting on the behaviour of Benjamin–Feir instability when dissipation and wind input are both taken into account.
Q6. What is the effect of wind and dissipation on the modulation of a?
In the presence of wind and dissipation, the unstable domain shrinks for low-frequency regime: this means that young waves are more sensitive to modulational instability than old waves.
Q7. What is the email address for correspondence?
Email address for correspondence: kharif@irphe.univ-mrs.frnearly uniform wave trains become modulated and then demodulated until they are again nearly uniform.
Q8. How can damping stop the growth of the sidebands?
when the perturbations are small initially, they cannot grow large enough for nonlinear resonant interaction between the carrier and the sidebands to become important.
Q9. What is the name of the potential water wave problem?
Since Stokes (1847), it is well known that the potential water wave problem admits as solutions uniform wave trains of two-dimensional progressive waves.
Q10. What is the criterion for linear stability?
This situation was discussed by Segur et al. (2005a, see their comment (iii) p. 238), and it was claimed that even with substantial growth of the perturbation, the Stokes solution of (3.4) is still linearly stable: it is always possible to find a gap (denoted ∆) between unperturbed and perturbed solution that satisfies the linear stability criterion.