sigma08-045. 394KB Jun 04 2011 12:10:16 AM
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Our starting point is dynamics which is represented by classical equations of motion and its relation to an affine connection on a underlying configuration space M.. This connection
Cheeger and Simons [10] introduced the notion of differential characters to express some secon- dary geometric invariants of a principal G-bundle in the base space.. This theory
We used the hydrodynamic approach of Dubrovin, Novikov to integrable systems and Dubrovin solutions of WDVV associativity equation to construct new integrable string equations
Since the category of modules with finite cycles over a local quasitriangular Hopf algebra is a braided tensor category, we may also find solutions of the Yang–Baxter equation in
The purpose of this paper is to reduce the equations of dispersive flows ( 1 ) and ( 2 ) to complex valued equations by constructing a good moving
In the present investigation we elaborate a kind of field theoretic Weyl quantization, which generalizes the more popular strategies in a threefold manner: We admit infinitely
This choice leads to four solvable models described by the oscillator-like equation ( 29 ) with some matrices D. Here we consider the massless case only. Model Ia) is equivalent to
Reshetikhin [ 7 ] had developed the theory of intertwining operators for quantum affine algebras and had shown that the matrix elements of intertwiners satisfy the
