List questions from integrable-systems

Published on 27 Mar 2026 - 7:51

66

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Prove that $\int g\ {\rm d} \mu<\infty$?

Published on 25 Mar 2026 - 4:37

83

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Integrating factor for a differential equation that contains an arbitray function

Published on 25 Mar 2026 - 4:37

226

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How to derive the formula $\{t_{ij}, t_{kl}\} = \sum_{a,b} (r^{ajbl} t_{ia}t_{kb} - r^{iakb} t_{aj}t_{bl})$?

Published on 25 Mar 2026 - 4:43

150

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Closed forms of $\int_A^B \sin(\sin(ax))dx$ and $\int_A^B \sin(\sin(ax)) \cdot \sin(\sin(bx))dx$

Published on 25 Mar 2026 - 6:06

171

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Example of non-integrable systems and consequences

Published on 25 Mar 2026 - 4:36

113

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Prove f is measurable and integrable on A

Published on 25 Mar 2026 - 7:43

60

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Trace of Lax operator for the Gaudin model

Published on 07 May 2026 - 3:05

107

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Unclear construction in Hitchins paper on Integrable Systems

Published on 25 Mar 2026 - 6:04

23

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Perturbations of an integrable system with no resonant tori

Published on 25 Mar 2026 - 4:41

27

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$\check{R}$ matrix acting on $2$ out of $m$ vector spaces

Published on 25 Mar 2026 - 7:48

41

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How to define a linear operator in Maple that commutes with derivatives?

Published on 25 Mar 2026 - 7:49

582

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How did (2+1) KP equation derived from Sato theory?

Published on 10 May 2026 - 12:33

55

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Is Miura transformation invertible?

Published on 01 Apr 2026 - 12:44

27

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Why is it important to study Lax pair in integrable system?

Published on 25 Mar 2026 - 4:36

List Question

On the Liouville-Arnold theorem

Prove that $\int g\ {\rm d} \mu<\infty$?

Integrating factor for a differential equation that contains an arbitray function

How to derive the formula $\{t_{ij}, t_{kl}\} = \sum_{a,b} (r^{ajbl} t_{ia}t_{kb} - r^{iakb} t_{aj}t_{bl})$?

Closed forms of $\int_A^B \sin(\sin(ax))dx$ and $\int_A^B \sin(\sin(ax)) \cdot \sin(\sin(bx))dx$

Example of non-integrable systems and consequences

Prove f is measurable and integrable on A

Trace of Lax operator for the Gaudin model

Unclear construction in Hitchins paper on Integrable Systems

Perturbations of an integrable system with no resonant tori

$\check{R}$ matrix acting on $2$ out of $m$ vector spaces

How to define a linear operator in Maple that commutes with derivatives?

How did (2+1) KP equation derived from Sato theory?

Is Miura transformation invertible?

Why is it important to study Lax pair in integrable system?

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