sigma07-060. 433KB Jun 04 2011 12:10:04 AM
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Then the corre- sponding companion matrix F a is similar to the diagonal matrix D.. The main result of this section is
(Note that in this case, as long as all the integer initial data are non-zero, then the coefficient J which appears in (2.25) is uniquely determined, and J ∈ Q .) This can be seen as
3) Contrary to other methods for integrating of Hamilton equations, and notably the method of Lax pairs, the bihamiltonian setting herewith briefly sketched provides, on
As explained in [ 8 ], in the extreme infra-red the effective field theory of a Seiberg–Witten theory is given by the low energy dynamics of an M theory five-brane wrapped on a
[3] Castro M., Gr¨ unbaum F.A., The algebra of matrix valued differential operators associated to a given family of matrix valued orthogonal polynomials: five instructive examples,
As Vadim pointed out later [ 43 ] (Kowalevski top revisited, 2002), until then there was only one separation of variables known for this problem following from original
The transformation between the cubic Rabelo equation (a.k.a. the short pulse equation) and the sine-Gordon equation was discovered in [ 7 ], and later it was used in [ 8 ] for
In noncommutative geometry [ 12 ] there is one specific application of the heat kernel expansion which is related to the spectral action principle [ 8 ].. The Dirac operator squared
