,From Nothing to Something: Discrete Integrable Systems

来源 :中国物理快报(英文版) | 被引量 : 0次 | 上传用户:df6b1
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Chinese ancient sage Laozi said that everything comes from ‘nothing.Einstein believes the principle of nature is simple.Quantum physics proves that the world is discrete.And computer science takes continuous systems as discrete ones.This 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 principles.It is conjectured that the discrete models generated from nothing may be integrable because they are identitiesof 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 M(o)bious transformation invariants.
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