From nothing to something II: nonlinear systems via consistent correlated bang
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 Schr\"odinger 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.
Keywords
Cite
@article{arxiv.1702.04758,
title = {From nothing to something II: nonlinear systems via consistent correlated bang},
author = {Sen-Yue Lou},
journal= {arXiv preprint arXiv:1702.04758},
year = {2017}
}
Comments
10 pages