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Difference equations and cluster algebras I: Poisson bracket for integrable difference equations
Difference equations cluster algebras Poisson bracket for integrable difference equations
2011/2/28
We introduce the cluster algebraic formulation of the integrable difference equations, the discrete Lotka-Volterra equation and the discrete Li-ouville equation, from the view point of the general T-s...
Fractional Poisson Bracket
Hamilton-Jacobi quantized equation Riemann-Liouville derivative Caputo derivative Canonical transformation Generating function fractional Poisson-bracket
2010/4/8
In the present paper fractional Hamilton-Jacobi equation has been derived for dynamical systems involving the Caputo derivative. Fractional Poisson-bracket is introduced. Further Hamilton's canonical ...