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Found 184 Documents (Results 1–100)

Lax representations via twisted extensions of Infinite-dimensional Lie algebras: some new results. (English) Zbl 07738952

Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Geometry and mathematical physics. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 788, 215-229 (2023).
MSC:  58H05 58J70 35A30 37K05 37K10
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\( W \)-algebras via Lax type operators. (English) Zbl 1471.81043

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., 181-198 (2021).
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Lie superalgebras and Calogero-Moser-Sutherland systems. (English. Russian original) Zbl 1422.17014

J. Math. Sci., New York 235, No. 6, 756-787 (2018); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 72-102 (2017).
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Lax equations and the Knizhnik-Zamolodchikov connection. (English) Zbl 1281.17023

Kielanowski, Piotr (ed.) et al., Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 – July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser (ISBN 978-3-0348-0447-9/hbk; 978-3-0348-0448-6/ebook). Trends in Mathematics, 405-413 (2013).
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Nevanlinna-Pick interpolation via graph spaces and Kreĭn-space geometry: A survey. (English) Zbl 1308.47015

Dym, Harry (ed.) et al., Mathematical methods in systems, optimization, and control. Festschrift in honor of J. William Helton. Basel: Birkhäuser (ISBN 978-3-0348-0410-3/hbk; 978-3-0348-0411-0/ebook). Operator Theory: Advances and Applications 222, 43-71 (2012).
MSC:  47A57 47B50 47-02
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Current algebras on Riemann surfaces. New results and applications. (English) Zbl 1258.81002

de Gruyter Expositions in Mathematics 58. Berlin: de Gruyter (ISBN 978-3-11-026396-1/hbk; 978-3-11-026452-4/ebook). xiii, 150 p. (2012).
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Lax operator algebras and Hamiltonian integrable hierarchies. (English. Russian original) Zbl 1246.17029

Russ. Math. Surv. 66, No. 1, 145-171 (2011); translation from Usp. Mat. Nauk. 66, No. 1, 151-178 (2011).
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Quantum computational curvature and Jacobi fields. (English) Zbl 1218.81031

Mahdavi, Kazem (ed.) et al., Cross disciplinary advances in quantum computing. NSF sponsored research conference on representation theory, quantum field theory, category theory, and quantum information theory, University of Texas at Tyler, Tyler, TX, USA, October 1–4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4975-0/pbk). Contemporary Mathematics 536, 49-74 (2011).
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Central extensions of Lax operator algebras. (English. Russian original) Zbl 1204.17016

Russ. Math. Surv. 63, No. 4, 727-766 (2008); translation from Usp. Mat. Nauk 63, No. 4, 131-172 (2008).
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From Green to Lax via Fourier. (English) Zbl 1142.35061

Bonilla, L. L. (ed.) et al., Recent advances in nonlinear partial differential equations and applications. Conference in honor of Peter D. Lax and Louis Nirenberg on their 80th birthdays, Toledo, Spain, June 7–10, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4211-9/hbk). Proceedings of Symposia in Applied Mathematics 65, 87-117 (2007).
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Decomposition of the loop algebra over \(so(4)\) and integrable models of the chiral field equation type. (Russian. English summary) Zbl 1080.37071

Fundam. Prikl. Mat. 10, No. 1, 39-47 (2004); translation in J. Math. Sci., New York 136, No. 6, 4385-4391 (2006).
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Introduction to classical integrable systems. (English) Zbl 1045.37033

Cambridge Monographs on Mathematical Physics. Cambridge: Cambridge University Press (ISBN 0-521-82267-X/pbk). xii, 602 p. £ 75.00; $ 110.00 (2003).
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Integrable systems and factorization problems. (English) Zbl 1030.37048

Gohberg, Israel (ed.) et al., Factorization and integrable systems. Lecture notes of the summer school, Faro, Portugal, September 2000. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 141, 155-218 (2003).
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Bäcklund transformation for restricted flows. (English) Zbl 1054.37046

Sahadevan, R. (ed.) et al., Nonlinear systems. Proceedings of the 8th Ramanujan symposium on recent developments in nonlinear systems, University of Madras, Chennai, India, February 14–16, 2001. Boca Raton, FL: Chapman and Hall/CRC; New Delhi: Narosa Publishing House (ISBN 0-8493-1722-3; 81-7319-456-4). 125-136 (2002).
MSC:  37K35 37K10
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Blow-ups of the Toda lattices and their intersections with the Bruhat cells. (English) Zbl 1018.37043

Bona, Jerry (ed.) et al., The legacy of the inverse scattering transform in applied mathematics. Proceedings of an AMS-IMS-SIAM joint summer research conference, South Hadley, MA, USA, June 17-21, 2001. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 301, 283-310 (2002).
MSC:  37K10 22E46
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Seiberg-Witten curves and integrable systems. (English) Zbl 0988.37089

Braden, H. W. (ed.) et al., Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 69-91 (2000).
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Lax representations and generalized Miura and Bäcklund transformations for one-dimensional nonlinear evolutionary equations. (Russian) Zbl 0967.47041

Andreev, V. K. (ed.) et al., Symmetry and differential equations. Proceedings of the 2nd international conference, Krasnoyarsk, Russia, August 21-25, 2000. Krasnoyarsk: Institute of Computational Modelling, Krasnoyarsk State Univ., Krasnoyarsk State Academy of Architecture and Civil Engineering, International Academy of Sciences of High School, 238-241 (2000).
MSC:  47J35
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Linearizing transformations for complex Monge-Ampère equation. (English) Zbl 0968.35046

Andreev, V. K. (ed.) et al., Symmetry and differential equations. Proceedings of the 2nd international conference, Krasnoyarsk, Russia, August 21-25, 2000. Krasnoyarsk: Institute of Computational Modelling, Krasnoyarsk State Univ., Krasnoyarsk State Academy of Architecture and Civil Engineering, International Academy of Sciences of High School, 151-154 (2000).
MSC:  35J60 35L70 35C99
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A new spectral transform for solving the continuous and spatially discrete heat equations on simple trees. (English) Zbl 0932.35033

Clarkson, Peter A. (ed.) et al., Symmetries and integrability of difference equations. Proceedings of the 2nd international conference, Canterbury, UK, July 1–5, 1996. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 255, 178-194 (1999).
MSC:  35C15 35K05
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