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
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.
2017, Vol. 34 
