Chaos in soliton systems and special Lax pairs for chaos systems

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dc.creatorLou, Sen-yue
dc.creatorTang, Xiao-yan
dc.creatorZhang, Ying
dc.date2001-07-12
dc.date2001-09-29
dc.date.accessioned2026-07-07T05:33:35Z
dc.date.available2026-07-07T05:33:35Z
dc.descriptionIn this letter, taking the well known (2+1)-dimensional soliton systems, Davey-Stewartson (DS) model and the asymmetric Nizhnik-Novikov-Veselov (ANNV) model, as two special examples, we show that some types of lower dimensional chaotic behaviors may be found in higher dimensional soliton systems. Especially, we derive the famous Lorenz system and its general form from the DS equation and the ANNV equation. Some types of chaotic soliton solutions can be obtained from analytic expression of higher dimensional soliton systems and the numeric results of lower dimensional chaos systems. On the other hand, by means of the Lax pairs of some soliton systems, a \em lower \rm dimensional chaos system may have some types of \em higher \rm dimensional Lax pairs. An explicit (2+1)-dimensional Lax pair for a (1+1)-dimensional chaotic equation is given.
dc.description8 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0107029
dc.identifierhttp://arxiv.org/abs/nlin/0107029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80049
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.titleChaos in soliton systems and special Lax pairs for chaos systems
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