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Found 146 Documents (Results 1–100)

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Nonlocal complex modified Korteweg-de Vries equations: reductions and exact solutions. (English) Zbl 1478.37069

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 21st international conference on geometry, integrability and quantization, Varna, Bulgaria, June 3–8, 2019. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 21, 265-271 (2020).
MSC:  37K10 37K35 35Q53
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Integrable nonlocal reductions. (English) Zbl 1421.35336

Kac, Victor G. (ed.) et al., Symmetries, differential equations and applications. SDEA-III, Istanbul, Turkey, August 14–17, 2017. Selected papers based on the presentations at the conference. Cham: Springer. Springer Proc. Math. Stat. 266, 27-52 (2018).
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Recursion operators for rational bundle on \(\mathfrak{sl} (3, {\mathbb C})\) with \({\mathbb Z}_2 \times {\mathbb Z}_2 \times {\mathbb Z}_2\) reduction of Mikhailov type. (English) Zbl 1349.35327

Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 16th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 6–11, 2014. Sofia: Avangard Prima. 301-311 (2015).
MSC:  35Q51 37K05 37K10 37K15 37K25
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Reductions on the lattice and Painlevé equations \(P_2,P_5,P_6\). (English) Zbl 1290.39007

Bruno, Alexander D. (ed.) et al., Painlevé equations and related topics. Proceedings of the international conference, Saint Petersburg, Russia, June 17–23, 2011. Berlin: de Gruyter (ISBN 978-3-11-027558-2/hbk; 978-3-11-027566-7/ebook). De Gruyter Proceedings in Mathematics, 267-270 (2012).
MSC:  39A14 39A10
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New integrable equations of mKdV type. (English) Zbl 1187.35227

Sekigawa, Kouei (ed.) et al., Trends in differential geometry, complex analysis and mathematical physics. Proceedings of 9th international workshop on complex structures, integrability and vector fields, Sofia, Bulgaria, August 25–29, 2008. Hackensack, NJ: World Scientific (ISBN 978-981-4277-71-6/hbk). 251-260 (2009).
MSC:  35Q53 37K05 37K10 35C08
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Integrability of the Gibbons-Tsarev systems. (English) Zbl 1160.35319

Buchstaber, V. M. (ed.) et al., Geometry, topology, and mathematical physics. S. P. Novikov’s seminar: 2006–2007. Selected papers of the seminar, Moscow, Russia, 2006–2007. Dedicated to S. P. Novikov on the occasion of his 70th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4674-2/hbk). Translations. Series 2. American Mathematical Society 224. Advances in the Mathematical Sciences 61, 247-259 (2008).
MSC:  35A30 35L65 37K10 35Q58
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Lax representation for integrable O\(\Delta\)Es. (English) Zbl 1148.37311

Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 271-272 (2008).
MSC:  37K10
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A generalization of the disctrete UC hierarchy and its reductions. (English) Zbl 1125.37048

Elaydi, S. (ed.) et al., Difference equations, special functions and orthogonal polynomials. Proceedings of the international conference, Munich, Germany, July 25–30, 2005. Hackensack, NJ: World Scientific (ISBN 978-981-270-643-0/hbk). 471-479 (2007).
MSC:  37K10 37K25
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Finite-dimensional reductions of 2D Toda hierarchy constrained by the string equation. (English) Zbl 1096.37048

Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 430-437 (2004).
MSC:  37K10 70H06
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Poisson structure of rational reductions of the 2D dToda hierarchy. (English) Zbl 1095.37029

Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 438-443 (2004).
MSC:  37K10 70H06 53D17 37K05
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On the prolongation of a hierarchy of hydrodynamic chains. (English) Zbl 1061.35099

Shabat, A.B.(ed.) et al., New trends in integrability and partial solvability. Proceedings of the NATO Advanced Research Workshop, Cadiz, Spain, June 12–16, 2002. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-1835-5/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 132, 263-280 (2004).
MSC:  35Q51 37K10
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Compatible metrics of constant Riemannian curvature: local geometry, nonlinear equations, and integrability. (English. Russian original) Zbl 1083.53041

Funct. Anal. Appl. 36, No. 3, 196-204 (2002); translation from Funkts. Anal. Prilozh. 36, No. 3, 36-47 (2002).
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Schrödinger’s cataplex. (English) Zbl 1014.81038

Kursunoglu, Behram N. (ed.) et al., Quantum gravity, generalized theory of gravitation, and superstring theory-based unification. Proceedings of the Orbis Scientiae, the 28th conference on high energy physics and cosmology, Fort Lauderdale, FL, USA, December 16-19, 1999. Dordrecht: Kluwer Academic/ Plenum Publishers. 121-132 (2000).
MSC:  81T10 81P05
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Kac-Moody-Virasoro algebras and integrability of certain higher dimensional nonlinear evolutionary equations. (English) Zbl 0958.37055

Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 401-406 (2000).
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