From Nothing to Something: Discrete Integrable Systems

作     者：LOU Sen-Yue LI Yu-Qi TANG Xiao-Yan 楼森岳;李玉奇;唐晓艳

作者机构：Shanghai Key Laboratory of Trustworthy ComputingEast China Normal UniversityShanghai 200062 Faculty of ScienceNingbo UniversityNingbo 315211 Department of Physics and AstronomyShanghai Jiao Tong UniversityShanghai 200240 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2013年第30卷第8期

页      面：4-8页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(Nos 11175092,11275123 and 10735030) the Shanghai Knowledge Service Platform for Trustworthy Internet of Things(No ZF1213) the K.C.Wong Magna Fund in Ningbo University 

主　　题：integrable theorem trivial 

摘      要：Chinese ancient sage Laozi said that everything comes from nothing .Einstein believes the principle of nature is *** physics proves that the world is *** computer science takes continuous systems as discrete *** report is devoted to deriving a number of discrete models,including well-known integrable systems such as the KdV,KP,Toda,BKP,CKP,and special Viallet equations,from nothing via simple *** is conjectured that the discrete models generated from nothing may be integrable because they are identities of simple algebra,model-independent nonlinear superpositions of a trivial integrable system(Riccati equation),index homogeneous decompositions of the simplest geometric theorem(the angle bisector theorem),as well as the Möbious transformation invariants.