Pole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation

dc.creatorDeconinck, Bernard
dc.creatorSegur, Harvey
dc.date1999-03-26
dc.date.accessioned2026-07-07T06:17:47Z
dc.date.available2026-07-07T06:17:47Z
dc.descriptionThe real, nonsingular elliptic solutions of the Korteweg-deVries equation are studied through the time dynamics of their poles in the complex plane. The dynamics of these poles is governed by a dynamical system with a constraint. This constraint is shown to be solvable for any finite number of poles located in the fundamental domain of the elliptic function, often in many different ways. Special consideration is given to those elliptic solutions that have a real nonsingular soliton limit.
dc.description22 pages, 12 figures. Submitted for publication
dc.identifierhttps://arxiv.org/abs/solv-int/9904001
dc.identifierhttp://arxiv.org/abs/solv-int/9904001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94507
dc.subjectExactly Solvable and Integrable Systems
dc.titlePole Dynamics for Elliptic Solutions of the Korteweg-deVries Equation
dc.typetext

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