13 citations · 13 across the 5 of their papers we have counts for
5 papers
Infinite-dimensional Hamilton-Jacobi theory and -integrability
Cheng-shi Liu
The classical Liouvile integrability means that there exist independent first integrals in involution for -dimensional phase space. However, in the infinite-dimensional cas…
Nonsymmetric entropy I: basic concepts and results
Chengshi Liu
A new concept named nonsymmetric entropy which generalizes the concepts of Boltzman's entropy and shannon's entropy, was introduced. Maximal nonsymmetric entropy principle was prov…
Rational expansion method of exponent function for solving exact solutions to nonlinear differential-difference equations
Chengshi Liu
A new method named rational expansion method of exponent function is presented to find exact traveling wave solutions of differential-difference equations. This method generalizes…
Direct integral method, complete discrimination system for polynomial and applications to classifications of all single traveling wave solutions to nonlinear differential equations:a survey
Chengshi Liu
Complete discrimination system for polynomial and direct integral method were discussed systematically. In particularly, we pointed out some mistaken viewpoints. Combining with com…
Maximal nonsymmetric entropy leads naturally to Zipf's law
Chengshi Liu
As the most fundamental empirical law, Zipf's law has been studied from many aspects. But its meaning is still an open problem. Some models have been constructed to explain Zipf's…