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arXiv · 1702.04758

From nothing to something II: nonlinear systems via consistent correlated bang

Sen-Yue Lou
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Abstract

Chinese ancient sage Laozi said everything comes from \emph{\bf \em "nothing"}. \rm In the first letter (Chin. Phys. Lett. 30 (2013) 080202), infinitely many discrete integrable systems have been obtained from "nothing" via simple principles (Dao). In this second letter, 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 (NLS), the (potential) Korteweg de Vries (KdV) equation, the (potential) Kadomtsev-Petviashvili (KP) equation and the sine-Gordon (sG) 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.

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Sen-Yue Lou. 2017-02-13. From nothing to something II: nonlinear systems via consistent correlated bang. https://doi.org/10.1088/0256-307x%2F34%2F6%2F060201

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