2001/07/12 by Sen-yue Lou, Sen‐Yue Lou, Xiao-yan Tang +5
Physics and Astronomy · #Chaos control and synchronization #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Pattern Formation and Solitons (nlin.PS) #Quantum chaos and dynamical systems #nlin.PS #nlin.SI
paper · pdf · doi:10.48550/arxiv.nlin/0107029
8 pages, 2 figures
openalex publication_date 2001/07/12 · arxiv created 2001/09/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In 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.