An abstract disintegration theorem

A Strassen-type disintegration theorem for convex cones with localized order structure is proved. As an example a flow theorem for infinite networks is given

Algebraic Structure of Discrete Zero Curvature Equations and Master Symmetries of Discrete Evolution Equations

An algebraic structure related to discrete zero curvature equations is established. It is used to give an approach for generating master symmetries of first degree for systems of discrete evolution equations and an answer to why there exist such master symmetries. The key of the theory is to generate nonisospectral flows $(\lambda_t=\lambda ^l, l\ge0)$ from the discrete spectral problem associated with a given system of discrete evolution equations. Three examples are given.Comment: 24 pages, LaTex, revise

The action-angle transformation for interacting solitons and the dynamics of eigenfunctions for soliton equations

A method is presented which allows the explicit construction of the gradients of action and angle variables related to the dynamics of soliton eigenfunction equations. The interacting soliton equations, as well as the Lax-pair eigenfunctions, related to a number of known completely integrable systems are taken as examples to illustrate the method. Among these are the Korteweg de Vries, the modified Korteweg de Vries, the nonlinear Schr¨odinger equation and a ZS-system