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6 votes
1 answer
366 views

Toda Hierarchy and Quantum Cohomology of $\mathbb{P}^1$ Frobenius manifolds

People usually say that the quantum cohomology of $\mathbb{P}^1$ Frobenius manifold $QH^*(\mathbb{P}^1)$, corresponds to dispersionless extended Toda hierarchy (e.g. page 6 of https://arxiv.org/pdf/...
user113988's user avatar
4 votes
1 answer
334 views

Examples of particle systems with higher-order collisions

In kinetic theory, one often comes across interacting particle systems with a collisional flavour. I'll currently prefer to think about them as systems of ODEs (or SDEs, Jump Processes, $\ldots$), ...
πr8's user avatar
  • 801
4 votes
1 answer
255 views

Krichever-Novikov-Dubrovin description for not-algebraic spectral curve

Non-algebraic curves play an increasing role in string theory, sometimes they are known to be related to the integrable systems of the KP/Toda type. Are there any investigated examples of the ...
Sasha's user avatar
  • 1,343
4 votes
2 answers
371 views

Literature on ZS-AKNS systems with independent potentials

For those with some familiarity with integrable systems, I'll summarize my question as such: Where can I find literature on ZS-AKNS systems, and their solution via the inverse scattering transform, ...
Semiclassical's user avatar
3 votes
0 answers
264 views

KP tau-functions and $GL(\infty)$

It is usually assumed, that some version of the central extended $GL(\infty)$ group acts transitively on the space of tau-function of the KP integrable hierarchy. It means that any tau-function can be ...
Sasha's user avatar
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