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Found 55 Documents (Results 1–55)

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A novel integrable fourth-order difference equation admitting three invariants. (English) Zbl 1471.39016

Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 67-75 (2021).
MSC:  39A36 37J70
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Features of discrete integrability. (English) Zbl 1479.39022

Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 21-35 (2021).
MSC:  39A36 37J70 37K60
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Elliptic solutions of the Toda lattice hierarchy and the elliptic Ruijsenaars-Schneider model. (English. Russian original) Zbl 1477.37076

Theor. Math. Phys. 208, No. 2, 1093-1115 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 282-309 (2021).
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Integrable extensions of the Adler map via Grassmann algebras. (English. Russian original) Zbl 1467.37058

Theor. Math. Phys. 207, No. 2, 553-559 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 179-187 (2021).
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Lectures on pentagram maps and KdV hierarchies. (English) Zbl 1472.37081

Akbulut, Selman (ed.) et al., Proceedings of the 25th and 26th Gökova geometry-topology conferences, 2018/2019, Gökova Bay, Turkey, May/June 2018 and May/June 2019. Dedicated to the memory of Sir Michael Atiyah. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 164-175 (2021).
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Integrable mappings from a unified perspective. (English) Zbl 07425927

Donagi, Ron (ed.) et al., Integrable systems and algebraic geometry. A celebration of Emma Previato’s 65th birthday. Volume 1. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 458, 217-264 (2020).
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Linear operators associated with differential and difference systems: what is different? (English) Zbl 1472.39040

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 435-448 (2020).
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QRT-families of degree four biquadratic curves each of them has genus zero, associated dynamical systems. (English) Zbl 1473.39033

Baigent, Steve (ed.) et al., Progress on difference equations and discrete dynamical systems. ICDEA 25, London, UK, June 24–28, 2019. Proceedings of the 25th international conference on difference equations and applications. Cham: Springer. Springer Proc. Math. Stat. 341, 369-377 (2020).
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Analogues of Kahan’s method for higher order equations of higher degree. (English) Zbl 1464.37068

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 175-189 (2020).
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An algebraically stable variety for a four-dimensional dynamical system reduced from the lattice super-KdV equation. (English) Zbl 1462.37081

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 43-53 (2020).
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Complexity and integrability in 4D bi-rational maps with two invariants. (English) Zbl 1464.37067

Nijhoff, Frank (ed.) et al., Asymptotic, algebraic and geometric aspects of integrable systems. In honor of Nalini Joshi on her 60th birthday. Selected papers of the workshop, TSIMF, Sanya, China, April 9–13, 2018. Cham: Springer. Springer Proc. Math. Stat. 338, 17-36 (2020).
MSC:  37J70 39A36 14E05
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Extensions of the discrete KP hierarchy and its strict version. (English. Russian original) Zbl 1470.37085

Theor. Math. Phys. 204, No. 3, 1140-1153 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 367-382 (2020).
MSC:  37J70 37K10 39A36
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Matrix Kadomtsev-Petviashvili hierarchy and spin generalization of trigonometric Calogero-Moser hierarchy. (English. Russian original) Zbl 1448.37079

Proc. Steklov Inst. Math. 309, 225-239 (2020); translation from Tr. Mat. Inst. Steklova 309, 241-256 (2020).
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