Chin. Phys. Lett.  2017, Vol. 34 Issue (6): 060201    DOI: 10.1088/0256-307X/34/6/060201
GENERAL |
From Nothing to Something II: Nonlinear Systems via Consistent Correlated Bang
Sen-Yue Lou1,2
1Ningbo Collabrative Innovation Center of Nonlinear Harzard System of Ocean and Atmosphere and Faculty of Science, Ningbo University, Ningbo 315211
2Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062
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Abstract The Chinese ancient sage Laozi said that everything comes from 'nothing'. In the work [Chin. Phys. Lett. 30 (2013) 080202], infinitely many discrete integrable systems have been obtained from nothing via simple principles (Dao). In this study, a new idea, the consistent correlated bang, is introduced to obtain nonlinear dynamic systems including some integrable ones such as the continuous nonlinear Schrödinger equation, the (potential) Korteweg de Vries equation, the (potential) Kadomtsev–Petviashvili equation and the sine-Gordon equation. These nonlinear systems are derived from nothing via suitable 'Dao', the shifted parity, the charge conjugate, the delayed time reversal, the shifted exchange, the shifted-parity-rotation and so on.
Received: 07 February 2017      Published: 23 May 2017
PACS:  02.30.Ik (Integrable systems)  
  02.30.Jr (Partial differential equations)  
  05.45.Yv (Solitons)  
  11.10.Lm (Nonlinear or nonlocal theories and models)  
Fund: Supported by the Global Change Research Program of China under Grant No 2015CB953904, the National Natural Science Foundation of China under Grant No 11435005, the Shanghai Knowledge Service Platform for Trustworthy Internet of Things under Grant No ZF1213, and the K. C. Wong Magna Fund in Ningbo University.
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Sen-Yue Lou 2017 Chin. Phys. Lett. 34 060201
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http://cpl.iphy.ac.cn/10.1088/0256-307X/34/6/060201       OR      http://cpl.iphy.ac.cn/Y2017/V34/I6/060201
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Sen-Yue Lou
[1]Boltz W G 1993 Lao tzu Tao te ching. In Early Chinese Texts: A Bibliographical Guide (Berkeley: University California) p 269
[2]Lou S Y, Li Y Q and Tang X Y 2013 Chin. Phys. Lett. 30 080202
[3]Crighton D G 1995 Acta Appl. Math. 39 39
[4]Lou S Y 2016 arXiv:1603.03975v2
[5]Lou S Y and Huang F 2016 Sci. Rep. 7 869
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