Journal
PHYSICAL REVIEW LETTERS
Volume 117, Issue 14, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.117.144102
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Funding
- Italian Ministry of University and Research (MIUR) [PRIN-2012BFNWZ2]
- National Science Foundation [DMS-1311847, DMS-1614623]
- Japan Society for the Promotion of Science (JSPS)
- Burgundy Region (PARI Photcom)
- Grants-in-Aid for Scientific Research [15F15379] Funding Source: KAKEN
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observe the dispersive breaking of cosine-type long waves [Phys. Rev. Lett. 15, 240 (1965)] in shallow water, characterizing the highly nonlinear multisoliton fission over variable conditions. We provide new insight into the interpretation of the results by analyzing the data in terms of the periodic inverse scattering transform for the Korteweg-de Vries equation. In a wide range of dispersion and nonlinearity, the data compare favorably with our analytical estimate, based on a rigorous WKB approach, of the number of emerging solitons. We are also able to observe experimentally the universal Fermi-Pasta-Ulam recurrence in the regime of moderately weak dispersion.
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