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Found 126 Documents (Results 1–100)

Painlevé equations: continuous, discrete and ultradiscrete. (English) Zbl 1229.39008

Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Based upon lectures delivered during the summer school, Montreal, Canada, June 8–21, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-13658-7/pbk). London Mathematical Society Lecture Note Series 381, 50-82 (2011).
MSC:  39A12 34M55 37J05
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Bilinear avatars of the discrete Painlevé II equation. (English) Zbl 1126.39015

Faddeev, Ludwig (ed.) et al., Bilinear integrable systems. From classical to quantum, continuous to discrete. Proceedings of the NATO advanced research workshop, St. Petersburg, Russia, September 15–19, 2002. Dordrecht: Springer (ISBN 978-1-4020-3502-9/pbk; 978-1-4020-3501-2/hbk; 978-1-4020-3503-6/e-book). NATO Science Series II: Mathematics, Physics and Chemistry 201, 85-96 (2006).
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Special solutions for discrete Painlevé equations. (English) Zbl 1064.39021

Grammaticos, B. (ed.) et al., Discrete integrable systems. Proceedings of the international CIMPA school, Pondicherry, India, February 2–14, 2003. Berlin: Springer (ISBN 3-540-21425-9/hbk). Lecture Notes in Physics 644, 323-382 (2004).
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A Nevanlinna theory approach to the integrability of discrete systems. (English) Zbl 1056.39026

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). 297-305 (2002).
MSC:  39A12 30D35 37J10
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A panorama of the special solutions of the Painlevé equations. (English) Zbl 1057.39019

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). 265-280 (2002).
MSC:  39A12 34M55 33E17
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Blending two discrete integrability criteria: Singularity confinement and algebraic entropy. (English) Zbl 0991.39009

Coley, Alan (ed.) et al., Bäcklund and Darboux transformations. The geometry of solitons. AARMS-CRM workshop, Halifax, Canada, June 4-9, 1999. With short biographies of Albert Victor Bäcklund and Gaston Darboux. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 29, 299-311 (2001).
MSC:  39A12 39B05 37J35
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A study of the continuous and discrete Gambier systems. (English) Zbl 0959.39020

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, 367-380 (2000).
MSC:  39A12 37J35
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Linearisable systems and the Gambier approach. (English) Zbl 0959.39019

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, 255-261 (2000).
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