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Results tagged with integrable-systems
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user 394
77
votes
Accepted
What is an integrable system?
This is, of course, a very good question. I should preface with the disclaimer that despite having worked on some aspects of integrability, I do not consider myself an expert. However I have thought …
- 33.3k
8
votes
Accepted
How to solve the system of PDEs defining Killing vectors
The system of PDEs in the original post actually defines a connection $D$ on the bundle $\mathcal{E} = TM \oplus \mathfrak{so}(TM)$, by
$$ D_X \begin{pmatrix} Y \\ A \end{pmatrix} = \begin{pmatrix} \n …
- 33.3k
3
votes
Is the 'massive' Calogero-Moser system still integrable?
Just to add to Gjergji Zaimi's answer, Harry Braden has sent me the expressions for the conserved charges responsible for the integrability of the $N=3$ model:
The total momentum $P = p_1 + p_2 + p_ …
- 33.3k