{
	"event_id": "973008",
	"eventinstance_id": "3755310",
	"calendar": {
		"id": 110,
		"title": "TRiO Center",
		"slug": "trio-center",
		"url": "https://events.ucf.edu/calendar/110/trio-center/"
	},
	"id": "3755310",
	"title": "Mathematics Colloquium by Dr. Peter Miller, University of Michigan",
	"subtitle": null,
	"description": "\u003Cp\u003EThe UCF \u003Ca href\u003D\u0022https://sciences.ucf.edu/math/colloquium/\u0022 target\u003D\u0022_blank\u0022\u003EMathematics Colloquium\u003C/a\u003E, held every Monday from 3:30pm to 4:30pm in MSB 318, offers a diverse platform for research scholars, faculty, students, and industry experts to share and exchange ideas, fostering discussion and networking across various areas of mathematics.\u003C/p\u003E\u000A\u003Cp\u003EDr. \u003Ca href\u003D\u0022https://lsa.umich.edu/math/people/faculty/millerpd.html\u0022 target\u003D\u0022_blank\u0022\u003EPeter Miller\u003C/a\u003E from University of Michigan will speak at this week\u0027s colloquium on \u0022Extreme Superposition: \u0026nbsp\u003BModels for Large\u002DAmplitude Rogue Waves.\u0022\u003C/p\u003E\u000A\u003Cp\u003EAbstract: \u0026nbsp\u003BRogue waves or freak waves are spatially\u002Dlocalized disturbances of a background field that are also temporally localized. In the setting of the focusing nonlinear Schr\u0026ouml\u003Bdinger equation, which is a universal model for the complex amplitude of a wave packet in a general one\u002Ddimensional weakly nonlinear and strongly dispersive setting that includes water waves and nonlinear optics as special cases, a special exact solution exhibiting rogue\u002Dwave character was found by D. H. Peregrine in 1983. Since then, with the help of complete integrability, Peregrine\u0026rsquo\u003Bs solution has been generalized to a family of solutions of arbitrary \u0026ldquo\u003Border\u0026rdquo\u003B where more parameters appear in the solution as the order increases. These parameters can be adjusted to maximize the amplitude of the rogue wave for a given order. This talk will describe several recent results concerning such maximal\u002Damplitude rogue wave solutions in the limit that the order increases without bound. For instance, it turns out that there is a limiting structure in a suitable near\u002Dfield scaling of the peak of the rogue wave\u003B this structure is a novel exact solution of the focusing nonlinear Schr\u0026ouml\u003Bdinger equation \u0026mdash\u003B the \u0026ldquo\u003Brogue wave of infinite order\u0026rdquo\u003B \u0026mdash\u003B that is also connected with the hierarchy of the third Painlev\u0026eacute\u003B equation.\u0026nbsp\u003B\u003C/p\u003E",
	"location": "MSB 318: Mathematical Sciences Building, Room 318",
	"location_url": "https://www.ucf.edu/location/mathematical\u002Dsciences\u002Dbuilding/",
	"virtual_url": null,
	"registration_link": null,
	"registration_info": null,
	"starts": "Mon, 03 Mar 2025 15:30:00 -0500",
	"ends": "Mon, 03 Mar 2025 16:30:00 -0500",
	"ongoing": "False",
	"category": "Speaker/Lecture/Seminar",
	"tags": ["UCF Mathematics"],
	"contact_name": "Zhisheng Shuai",
	"contact_phone": null,
	"contact_email": "Zhisheng.Shuai@ucf.edu",
	"url": "https://events.ucf.edu/event/3755310/mathematics-colloquium-by-dr-peter-miller-university-of-michigan/"
}