Abstract
The classical theory of modulation instability (MI) attributed to Bespalov–Talanov in optics and Benjamin–Feir for water waves is just a linear approximation of nonlinear effects and has limitations that have been corrected using the exact weakly nonlinear theory of wave propagation. We report results of experiments in both optics and hydrodynamics, which are in excellent agreement with nonlinear theory. These observations clearly demonstrate that MI has a wider band of unstable frequencies than predicted by the linear stability analysis. The range of areas where the nonlinear theory of MI can be applied is actually much larger than considered here.
Publisher
Proceedings of the National Academy of Sciences
Reference57 articles.
1. Filamentary structure of light beams in nonlinear liquids;Bespalov;Sov. Phys. JETP Lett.,1966
2. The disintegration of wave trains on deep water part 1. theory;Benjamin;J. Fluid Mech.,1967
3. Instability of periodic wavetrains in nonlinear dispersive systems;Benjamin;Proc. R. Soc. Lond. A,1967
4. A note on some nonlinear water-wave experiments and the comparison of data with theory;Lake;J. Fluid Mech.,1977
5. Nonlinear dynamics of deep-water gravity waves;Yuen;Adv. Appl. Mech.,1982
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