[{"_id":"22093","main_file_link":[{"url":"https://doi.org/10.4171/OWR/2017/27","open_access":"1"}],"oa_version":"Published Version","publication":"Oberwolfach Reports","author":[{"full_name":"Koch, Herbert","first_name":"Herbert","last_name":"Koch"},{"first_name":"Pierre","last_name":"Raphaël","full_name":"Raphaël, Pierre"},{"full_name":"Tataru, Daniel","first_name":"Daniel","last_name":"Tataru"},{"full_name":"Visan, Monica","id":"056daca0-b8d1-11f0-964f-f91054abf8ca","first_name":"Monica","last_name":"Visan"}],"date_published":"2018-04-28T00:00:00Z","title":"Nonlinear waves and dispersive equations","publication_identifier":{"eissn":["1660-8941"],"issn":["1660-8933"]},"article_processing_charge":"No","type":"journal_article","date_created":"2026-06-19T08:55:08Z","volume":14,"abstract":[{"lang":"eng","text":"Nonlinear dispersive equations are models for nonlinear waves in a wide range of physical contexts. Mathematically they display an interplay between linear dispersion and nonlinear interactions, which can result in a wide range of outcomes from finite time blow-up to solitons and scattering. They are linked to many areas of mathematics and physics, ranging from integrable systems and harmonic analysis to fluid dynamics, geometry, general relativity and probability."}],"fulldoi":"https://doi.org/10.4171/owr/2017/27","date_updated":"2026-07-02T05:51:37Z","day":"28","status":"public","month":"04","language":[{"iso":"eng"}],"oa":1,"das_tickbox":"1","OA_type":"free access","intvolume":"        14","publisher":"EMS Press","issue":"2","extern":"1","quality_controlled":"1","year":"2018","doi":"10.4171/owr/2017/27","page":"1681-1745","publication_status":"published","citation":{"ama":"Koch H, Raphaël P, Tataru D, Vişan M. Nonlinear waves and dispersive equations. <i>Oberwolfach Reports</i>. 2018;14(2):1681-1745. doi:<a href=\"https://doi.org/10.4171/owr/2017/27\">10.4171/owr/2017/27</a>","short":"H. Koch, P. Raphaël, D. Tataru, M. Vişan, Oberwolfach Reports 14 (2018) 1681–1745.","ieee":"H. Koch, P. Raphaël, D. Tataru, and M. Vişan, “Nonlinear waves and dispersive equations,” <i>Oberwolfach Reports</i>, vol. 14, no. 2. EMS Press, pp. 1681–1745, 2018.","apa":"Koch, H., Raphaël, P., Tataru, D., &#38; Vişan, M. (2018). Nonlinear waves and dispersive equations. <i>Oberwolfach Reports</i>. EMS Press. <a href=\"https://doi.org/10.4171/owr/2017/27\">https://doi.org/10.4171/owr/2017/27</a>","ista":"Koch H, Raphaël P, Tataru D, Vişan M. 2018. Nonlinear waves and dispersive equations. Oberwolfach Reports. 14(2), 1681–1745.","mla":"Koch, Herbert, et al. “Nonlinear Waves and Dispersive Equations.” <i>Oberwolfach Reports</i>, vol. 14, no. 2, EMS Press, 2018, pp. 1681–745, doi:<a href=\"https://doi.org/10.4171/owr/2017/27\">10.4171/owr/2017/27</a>.","chicago":"Koch, Herbert, Pierre Raphaël, Daniel Tataru, and Monica Vişan. “Nonlinear Waves and Dispersive Equations.” <i>Oberwolfach Reports</i>. EMS Press, 2018. <a href=\"https://doi.org/10.4171/owr/2017/27\">https://doi.org/10.4171/owr/2017/27</a>."},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87"}]