@article{251303171c8048019011d3e609ad90cb,
title = "Resonant triads involving a nondispersive wave",
abstract = "A simple system is studied, involving a single nondispersive breaking wave and its interaction with two dispersive modes through a resonant triad. The dynamics of this system are shown to be quite rich, through a combined theoretical and numerical analysis. A sharply defined traveling wave with a corner seems to attract almost all initial data with enough energy, provided the nondispersive wave is unstable to the other two when standing alone. In other cases, the solution converges to quasiperiodic final states, unless extra symmetries force the solution to converge to simpler configurations.",
author = "Rosales, {Rodolfo R.} and Tabak, {Esteban G.} and Turner, {Cristina V.}",
note = "Funding Information: We wish to thank all the participants and their family members, the ward staff and other associated helpers who have been very supportive of this study. Financial supports from Health and Medical Research Fund, the Food and Health Bureau, The Government of the Hong Kong Special Administration Region (HMRF, Ref. No.: 12131101 and 03144526) are acknowledged. Dr. Hon-Cheong So is supported by the Lo Kwee Seong Biomedical Research Fund and a Chinese University of Hong Kong Direct Grant. The funders had no role in study design, data analysis, decision to publish, or preparation of the manuscript. ",
year = "2002",
month = jan,
doi = "10.1111/1467-9590.01426",
language = "English (US)",
volume = "108",
pages = "105--122",
journal = "Studies in Applied Mathematics",
issn = "0022-2526",
publisher = "John Wiley & Sons Inc.",
number = "1",
}