Ramani, A.; Grammaticos, B. Singularity analysis of a generalised Lagrange system. (English) Zbl 1495.37049 Chaos Solitons Fractals 140, Article ID 110100, 6 p. (2020). MSC: 37J35 37J30 PDFBibTeX XMLCite \textit{A. Ramani} and \textit{B. Grammaticos}, Chaos Solitons Fractals 140, Article ID 110100, 6 p. (2020; Zbl 1495.37049) Full Text: DOI
Ramani, A.; Grammaticos, B.; Willox, R.; Tamizhmani, T. Constructing discrete Painlevé equations: from \(\mathrm{E}_8^{(1)}\) to \(\mathrm{A}_1^{(1)}\) and back. (English) Zbl 1418.37113 J. Nonlinear Math. Phys. 26, No. 4, 520-535 (2019). MSC: 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Nonlinear Math. Phys. 26, No. 4, 520--535 (2019; Zbl 1418.37113) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Tamizhmani, T. Investigating relations between discrete Painlevé equations: the multistep approach. (English) Zbl 1403.39006 J. Math. Phys. 59, No. 11, 113506, 10 p. (2018). MSC: 39A12 34M55 37J35 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Math. Phys. 59, No. 11, 113506, 10 p. (2018; Zbl 1403.39006) Full Text: DOI
Mase, T.; Willox, R.; Ramani, A.; Grammaticos, B. Integrable mappings and the notion of anticonfinement. (English) Zbl 1405.37063 J. Phys. A, Math. Theor. 51, No. 26, Article ID 265201, 11 p. (2018). MSC: 37J35 39A12 PDFBibTeX XMLCite \textit{T. Mase} et al., J. Phys. A, Math. Theor. 51, No. 26, Article ID 265201, 11 p. (2018; Zbl 1405.37063) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Willox, R.; Mase, T.; Satsuma, J. Calculating the algebraic entropy of mappings with unconfined singularities. (English) Zbl 1397.37062 J. Integrable Syst. 3, Article ID xyy006, 16 p. (2018). MSC: 37J35 37K10 39A12 28D20 14E05 32H50 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Integrable Syst. 3, Article ID xyy006, 16 p. (2018; Zbl 1397.37062) Full Text: DOI arXiv
Willox, R.; Ramani, A.; Grammaticos, B. A systematic method for constructing discrete Painlevé equations in the degeneration cascade of the \(\operatorname{E}_8\) group. (English) Zbl 1391.37053 J. Math. Phys. 58, No. 12, 123504, 20 p. (2017). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 34M55 39A12 20G41 PDFBibTeX XMLCite \textit{R. Willox} et al., J. Math. Phys. 58, No. 12, 123504, 20 p. (2017; Zbl 1391.37053) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Willox, R. Miura transformations for discrete Painlevé equations coming from the affine \(\operatorname{E}_{8}\) Weyl group. (English) Zbl 1365.39003 J. Math. Phys. 58, No. 4, 043502, 10 p. (2017). MSC: 39A12 34M55 37K35 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Math. Phys. 58, No. 4, 043502, 10 p. (2017; Zbl 1365.39003) Full Text: DOI arXiv
Grammaticos, B.; Ramani, A.; Satsuma, J. Linearisable mappings, revisited. (English) Zbl 1420.37062 J. Nonlinear Math. Phys. 23, No. 4, 466-473 (2016). MSC: 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Nonlinear Math. Phys. 23, No. 4, 466--473 (2016; Zbl 1420.37062) Full Text: DOI
Grammaticos, B.; Ramani, A. Parameterless discrete Painlevé equations and their Miura relations. (English) Zbl 1420.34105 J. Nonlinear Math. Phys. 23, No. 1, 141-149 (2016). MSC: 34M55 37K10 39A12 34A25 37K35 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, J. Nonlinear Math. Phys. 23, No. 1, 141--149 (2016; Zbl 1420.34105) Full Text: DOI
Willox, R.; Mase, T.; Ramani, A.; Grammaticos, B. Full-deautonomisation of a lattice equation. (English) Zbl 1353.37138 J. Phys. A, Math. Theor. 49, No. 28, Article ID 28LT01, 11 p. (2016). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K10 39A12 PDFBibTeX XMLCite \textit{R. Willox} et al., J. Phys. A, Math. Theor. 49, No. 28, Article ID 28LT01, 11 p. (2016; Zbl 1353.37138) Full Text: DOI arXiv
Ramani, Alfred; Grammaticos, Basile A class of integrable non-QRT mappings and their deautonomisation. (English) Zbl 1333.37083 Lett. Math. Phys. 106, No. 3, 433-444 (2016). MSC: 37J35 39A10 39A13 58K20 37A35 PDFBibTeX XMLCite \textit{A. Ramani} and \textit{B. Grammaticos}, Lett. Math. Phys. 106, No. 3, 433--444 (2016; Zbl 1333.37083) Full Text: DOI
Ramani, A.; Grammaticos, B.; Willox, R.; Mase, T.; Kanki, M. The redemption of singularity confinement. (English) Zbl 1312.37043 J. Phys. A, Math. Theor. 48, No. 11, Article ID 11FT02, 8 p. (2015). MSC: 37K10 39A12 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Theor. 48, No. 11, Article ID 11FT02, 8 p. (2015; Zbl 1312.37043) Full Text: DOI arXiv
Grammaticos, Basil; Ramani, Alfred; Guha, Partha Second-degree Painlevé equations and their contiguity relations. (English) Zbl 1333.34133 Regul. Chaotic Dyn. 19, No. 1, 37-47 (2014). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M55 37J35 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Regul. Chaotic Dyn. 19, No. 1, 37--47 (2014; Zbl 1333.34133) Full Text: DOI
Grammaticos, B.; Ramani, A.; Scimiterna, C.; Satsuma, J. On the integrability of a new lattice equation. (English) Zbl 1318.37017 J. Phys. A, Math. Theor. 47, No. 40, Article ID 405201, 11 p. (2014). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 37K10 37J35 35Q53 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Theor. 47, No. 40, Article ID 405201, 11 p. (2014; Zbl 1318.37017) Full Text: DOI
Ramani, A.; Grammaticos, B. Discrete Painlevé equations with maximal periodicities. (English) Zbl 1301.39005 J. Phys. A, Math. Theor. 47, No. 38, Article ID 385201, 7 p. (2014). MSC: 39A12 34M55 39A23 37J30 37K10 PDFBibTeX XMLCite \textit{A. Ramani} and \textit{B. Grammaticos}, J. Phys. A, Math. Theor. 47, No. 38, Article ID 385201, 7 p. (2014; Zbl 1301.39005) Full Text: DOI
Ramani, A.; Grammaticos, B. A new family of discrete Painlevé equations and associated linearisable systems. (English) Zbl 1420.37085 J. Nonlinear Math. Phys. 20, Suppl. 1, 153-164 (2013). MSC: 37K10 39A12 PDFBibTeX XMLCite \textit{A. Ramani} and \textit{B. Grammaticos}, J. Nonlinear Math. Phys. 20, 153--164 (2013; Zbl 1420.37085) Full Text: DOI
Ramani, A.; Grammaticos, B.; Guha, P. Contiguity relations for linearisable systems of Gambier type. (English) Zbl 1420.37086 J. Nonlinear Math. Phys. 20, No. 4, 565-576 (2013). MSC: 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Nonlinear Math. Phys. 20, No. 4, 565--576 (2013; Zbl 1420.37086) Full Text: DOI
Grammaticos, B.; Ramani, A.; Viallet, C.-M. From Yang-Baxter maps to integrable recurrences. (English) Zbl 1420.37063 J. Nonlinear Math. Phys. 20, No. 2, 260-270 (2013). MSC: 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Nonlinear Math. Phys. 20, No. 2, 260--270 (2013; Zbl 1420.37063) Full Text: DOI
Willox, R.; Ramani, A.; Satsuma, J.; Grammaticos, B. A KdV cellular automaton without integers. (English) Zbl 1317.37081 Athorne, Chris (ed.) et al., Tropical geometry and integrable systems. A conference on tropical geometry and integrable systems, School of Mathematics and Statistics, Glasgow, UK, July 3–8, 2011. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7553-7/pbk; 978-0-8218-9188-9/ebook). Contemporary Mathematics 580, 135-155 (2012). MSC: 37K10 37K15 37B15 PDFBibTeX XMLCite \textit{R. Willox} et al., Contemp. Math. 580, 135--155 (2012; Zbl 1317.37081) Full Text: DOI
Mimura, N.; Isojima, S.; Murata, M.; Satsuma, J.; Ramani, A.; Grammaticos, B. Do ultradiscrete systems with parity variables satisfy the singularity confinement criterion? (English) Zbl 1274.37009 J. Math. Phys. 53, No. 2, 023510, 24 p. (2012). MSC: 37B15 39A12 37K10 37K40 PDFBibTeX XMLCite \textit{N. Mimura} et al., J. Math. Phys. 53, No. 2, 023510, 24 p. (2012; Zbl 1274.37009) Full Text: DOI
Ramani, A.; Grammaticos, B.; Satsuma, J. On the explicit integration of a class of linearizable mappings. (English) Zbl 1253.37068 J. Phys. A, Math. Theor. 45, No. 36, Article ID 365202, 13 p. (2012). Reviewer: Masataka Kanki (Tokyo) MSC: 37K10 39A12 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Theor. 45, No. 36, Article ID 365202, 13 p. (2012; Zbl 1253.37068) Full Text: DOI
Grammaticos, B.; Ramani, A.; Tamizhmani, K. M.; Willox, R. On Quispel-Roberts-Thompson extensions and integrable correspondences. (English) Zbl 1317.37056 J. Math. Phys. 52, No. 5, 053508, 11 p. (2011). MSC: 37J35 37K10 82B05 58J50 33E05 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Math. Phys. 52, No. 5, 053508, 11 p. (2011; Zbl 1317.37056) Full Text: DOI
Ramani, A.; Grammaticos, B.; Satsuma, J.; Mimura, N. Linearizable QRT mappings. (English) Zbl 1246.37090 J. Phys. A, Math. Theor. 44, No. 42, Article ID 425201, 18 p. (2011). MSC: 37K10 39A12 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Theor. 44, No. 42, Article ID 425201, 18 p. (2011; Zbl 1246.37090) Full Text: DOI
Grammaticos, B.; Ramani, A.; Scimiterna, C.; Willox, R. Miura transformations and the various guises of integrable lattice equations. (English) Zbl 1220.34009 J. Phys. A, Math. Theor. 44, No. 15, Article ID 152004, 9 p. (2011). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 34A33 35Q53 37K10 37K60 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Theor. 44, No. 15, Article ID 152004, 9 p. (2011; Zbl 1220.34009) Full Text: DOI
Murata, M.; Satsuma, J.; Ramani, A.; Grammaticos, B. Discretising systematically the Painlevé equations. (English) Zbl 1217.37059 Physica D 240, No. 3, 305-309 (2011). Reviewer: Johanna Michor (Wien) MSC: 37K10 34M55 39A12 PDFBibTeX XMLCite \textit{M. Murata} et al., Physica D 240, No. 3, 305--309 (2011; Zbl 1217.37059) Full Text: DOI
Ramani, A.; Grammaticos, B.; Willox, R. Generalized QRT mappings with periodic coefficients. (English) Zbl 1210.37039 Nonlinearity 24, No. 1, 113-126 (2011). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J15 37J35 33E05 PDFBibTeX XMLCite \textit{A. Ramani} et al., Nonlinearity 24, No. 1, 113--126 (2011; Zbl 1210.37039) Full Text: DOI
Grammaticos, B.; Ramani, A.; Tamizhmani, K. M. Mappings of Hirota-Kimura-Yahagi type can have periodic coefficients too. (English) Zbl 1206.39007 J. Phys. A, Math. Theor. 44, No. 1, Article ID 015206, 11 p. (2011). MSC: 39A12 39A20 37J15 39A23 37J35 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Theor. 44, No. 1, Article ID 015206, 11 p. (2011; Zbl 1206.39007) Full Text: DOI
Ramani, A.; Grammaticos, B.; Tamizhmani, K. M. From discrete Painlevé equations to mappings with periodic coefficients and back. (English) Zbl 1211.37072 J. Phys. A, Math. Theor. 43, No. 48, Article ID 485202, 10 p. (2010). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37J35 33E17 34M55 39A12 33E05 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Theor. 43, No. 48, Article ID 485202, 10 p. (2010; Zbl 1211.37072) Full Text: DOI
Murata, M.; Satsuma, J.; Ramani, A.; Grammaticos, B. How to discretize differential systems in a systematic way. (English) Zbl 1222.39009 J. Phys. A, Math. Theor. 43, No. 31, Article ID 315203, 15 p. (2010). Reviewer: Alexander Odesskii (Thorold) MSC: 39A12 37K10 PDFBibTeX XMLCite \textit{M. Murata} et al., J. Phys. A, Math. Theor. 43, No. 31, Article ID 315203, 15 p. (2010; Zbl 1222.39009) Full Text: DOI
Ramani, A.; Grammaticos, B.; Joshi, N. Second-degree discrete Painlevé equations conceal first-degree ones. (English) Zbl 1190.39003 J. Phys. A, Math. Theor. 43, No. 17, Article ID 175207, 9 p. (2010). MSC: 39A12 37K10 34M55 11C08 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Theor. 43, No. 17, Article ID 175207, 9 p. (2010; Zbl 1190.39003) Full Text: DOI
Grammaticos, Basil; Ramani, Alfred Singularity confinement property for the (non-autonomous) Adler-Bobenko-Suris integrable lattice equations. (English) Zbl 1190.37064 Lett. Math. Phys. 92, No. 1, 33-45 (2010). MSC: 37J35 39A12 37J15 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Lett. Math. Phys. 92, No. 1, 33--45 (2010; Zbl 1190.37064) Full Text: DOI
Carstea, A. S.; Grammaticos, B.; Ramani, A. Deautonomizing integrable non-QRT mappings. (English) Zbl 1186.37066 J. Phys. A, Math. Theor. 42, No. 48, Article ID 485207, 10 p. (2009). Reviewer: Dimitar A. Kolev (Sofia) MSC: 37J35 37P05 37J15 37K60 37K15 PDFBibTeX XMLCite \textit{A. S. Carstea} et al., J. Phys. A, Math. Theor. 42, No. 48, Article ID 485207, 10 p. (2009; Zbl 1186.37066) Full Text: DOI
Ramani, A.; Carstea, A. S.; Grammaticos, B. On the non-autonomous form of the \(Q_4\) mapping and its relation to elliptic Painlevé equations. (English) Zbl 1181.37086 J. Phys. A, Math. Theor. 42, No. 32, Article ID 322003, 8 p. (2009). MSC: 37J35 37J15 34M55 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Theor. 42, No. 32, Article ID 322003, 8 p. (2009; Zbl 1181.37086) Full Text: DOI
Grammaticos, B.; Ramani, A.; Tamizhmani, T. Investigating the integrability of the Lyness mappings. (English) Zbl 1186.39008 J. Phys. A, Math. Theor. 42, No. 45, Article ID 454009, 7 p. (2009). Reviewer: Peter Zabreiko (Minsk) MSC: 39A20 39A12 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Theor. 42, No. 45, Article ID 454009, 7 p. (2009; Zbl 1186.39008) Full Text: DOI
Nagoya, H.; Grammaticos, B.; Ramani, A. Quantum Painlevé equations: from continuous to discrete and back. (English) Zbl 1229.34133 Regul. Chaotic Dyn. 13, No. 5, 417-423 (2008). MSC: 34M55 37K55 PDFBibTeX XMLCite \textit{H. Nagoya} et al., Regul. Chaotic Dyn. 13, No. 5, 417--423 (2008; Zbl 1229.34133) Full Text: DOI
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Tamizhmani, T. Painlevé equations: from continuous to discrete. (English) Zbl 1190.34117 Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 85-104 (2008). Reviewer: Svitlana P. Rogovchenko (Umeå) MSC: 34M55 37K10 39A12 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., Proc. Natl. Acad. Sci. India, Sect. A, Phys. Sci. 78, No. 2, 85--104 (2008; Zbl 1190.34117)
Ramani, A.; Grammaticos, B.; Willox, R. Bilinearization and solutions of the KdV6 equation. (English) Zbl 1155.35440 Anal. Appl., Singap. 6, No. 4, 401-412 (2008). MSC: 35Q53 35Q51 35Q55 37K10 37K40 37K35 35C05 PDFBibTeX XMLCite \textit{A. Ramani} et al., Anal. Appl., Singap. 6, No. 4, 401--412 (2008; Zbl 1155.35440) Full Text: DOI
Grammaticos, B.; Ramani, A.; Tamizhmani, K. M.; Tamizhmani, T.; Carstea, A. S. Do all integrable equations satisfy integrability criteria? (English) Zbl 1145.37030 Adv. Difference Equ. 2008, Article ID 317520, 16 p. (2008). MSC: 37J35 37J30 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Adv. Difference Equ. 2008, Article ID 317520, 16 p. (2008; Zbl 1145.37030) Full Text: DOI EuDML
Tamizhmani, K. M.; Grammaticos, Basil; Ramani, Alfred Do all integrable evolution equations have the Painlevé property? (English) Zbl 1135.35306 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 073, 6 pp. (2007). MSC: 35A21 37K10 35Q58 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 073, 6 pp. (2007; Zbl 1135.35306) Full Text: DOI arXiv EuDML EMIS
Tsuda, Teruhisa; Grammaticos, Basil; Ramani, Alfred; Takenawa, Tomoyuki A class of integrable and nonintegrable mappings and their dynamics. (English) Zbl 1129.37032 Lett. Math. Phys. 82, No. 1, 39-49 (2007). MSC: 37J35 39A12 37J30 PDFBibTeX XMLCite \textit{T. Tsuda} et al., Lett. Math. Phys. 82, No. 1, 39--49 (2007; Zbl 1129.37032) Full Text: DOI
Kumar, C. Senthil; Lakshmanan, M.; Grammaticos, B.; Ramani, A. Nonintegrability of \((2+1)\)-dimensional continuum isotropic Heisenberg spin system: Painlevé analysis. (English) Zbl 1160.81394 Phys. Lett., A 356, No. 4-5, 339-345 (2006). MSC: 81R12 35Q53 37K10 PDFBibTeX XMLCite \textit{C. S. Kumar} et al., Phys. Lett., A 356, No. 4--5, 339--345 (2006; Zbl 1160.81394) Full Text: DOI arXiv
Joshi, N.; Grammaticos, B.; Tamizhmani, T.; Ramani, A. From integrable lattices to non-QRT mappings. (English) Zbl 1111.39013 Lett. Math. Phys. 78, No. 1, 27-37 (2006). Reviewer: Edwin Engin Yaz (Milwaukee) MSC: 39A12 37J15 37J35 PDFBibTeX XMLCite \textit{N. Joshi} et al., Lett. Math. Phys. 78, No. 1, 27--37 (2006; Zbl 1111.39013) Full Text: DOI
Ramani, A.; Joshi, N.; Grammaticos, B.; Tamizhmani, T. Deconstructing an integrable lattice equation. (English) Zbl 1086.37037 J. Phys. A, Math. Gen. 39, No. 8, L145-L149 (2006). MSC: 37K10 81T25 82B20 37K60 81R12 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Gen. 39, No. 8, L145--L149 (2006; Zbl 1086.37037) Full Text: DOI
Grammaticos, B.; Ramani, A. Generating discrete Painlevé equations from affine Weyl groups. (English) Zbl 1119.39301 Regul. Chaotic Dyn. 10, No. 2, 145-152 (2005). MSC: 39A12 34M55 37K35 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Regul. Chaotic Dyn. 10, No. 2, 145--152 (2005; Zbl 1119.39301) Full Text: DOI Link
Willox, R.; Grammaticos, B.; Ramani, A. A study of the antisymmetric QRT mappings. (English) Zbl 1181.37105 J. Phys. A, Math. Gen. 38, No. 23, 5227-5236 (2005). MSC: 37K10 PDFBibTeX XMLCite \textit{R. Willox} et al., J. Phys. A, Math. Gen. 38, No. 23, 5227--5236 (2005; Zbl 1181.37105) Full Text: DOI
Ramani, A.; Grammaticos, B. On the discrete form of the Fokas–Ablowitz equation. (English) Zbl 1089.39006 Chaos Solitons Fractals 24, No. 5, 1331-1335 (2005). Reviewer: Alberto Cabada (Santiago de Compostela) MSC: 39A13 37K10 39A12 PDFBibTeX XMLCite \textit{A. Ramani} and \textit{B. Grammaticos}, Chaos Solitons Fractals 24, No. 5, 1331--1335 (2005; Zbl 1089.39006) Full Text: DOI
Viallet, C. M.; Grammaticos, B.; Ramani, A. On the integrability of correspondences associated to integral curves. (English) Zbl 1118.81454 Phys. Lett., A 322, No. 3-4, 186-193 (2004). MSC: 37J35 14H70 PDFBibTeX XMLCite \textit{C. M. Viallet} et al., Phys. Lett., A 322, No. 3--4, 186--193 (2004; Zbl 1118.81454) Full Text: DOI
Tamizhmani, K. M.; Tamizhmani, T.; Grammaticos, B.; Ramani, A. 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). MSC: 39A12 34M55 33E17 37K35 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., Lect. Notes Phys. 644, 323--382 (2004; Zbl 1064.39021)
Grammaticos, B.; Ramani, A. Discrete Painlevé equations: a review. (English) Zbl 1064.39019 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, 245-321 (2004). MSC: 39A12 39-02 34M55 33E17 37J35 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Lect. Notes Phys. 644, 245--321 (2004; Zbl 1064.39019)
Ramani, A.; Grammaticos, B.; Tamizhmani, T.; Tamizhmani, K. M. The road to the discrete analogue of the Painlevé property: Nevanlinna meets singularity confinement. (English) Zbl 1057.39018 Comput. Math. Appl. 45, No. 6-9, 1001-1012 (2003). Reviewer: D. M. Bors (Iaşi) MSC: 39A12 30D35 34M55 37J35 PDFBibTeX XMLCite \textit{A. Ramani} et al., Comput. Math. Appl. 45, No. 6--9, 1001--1012 (2003; Zbl 1057.39018) Full Text: DOI
Carstea, A. S.; Ramani, A.; Willox, R.; Grammaticos, B. The discrete Painlevé II equations: Miura and auto-Bäcklund transformations. (English) Zbl 1049.39021 J. Phys. A, Math. Gen. 36, No. 31, 8419-8431 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 39A12 34M55 37K35 PDFBibTeX XMLCite \textit{A. S. Carstea} et al., J. Phys. A, Math. Gen. 36, No. 31, 8419--8431 (2003; Zbl 1049.39021) Full Text: DOI
Tamizhmani, K. M.; Ramani, A.; Tamizhmani, T.; Grammaticos, B. Special functions as solutions to discrete Painlevé equations. (English) Zbl 1107.39303 J. Comput. Appl. Math. 160, No. 1-2, 307-313 (2003). MSC: 39A12 33E17 34M55 37J35 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., J. Comput. Appl. Math. 160, No. 1--2, 307--313 (2003; Zbl 1107.39303) Full Text: DOI
Grammaticos, B.; Ramani, A.; Ohta, Y. A unified description of the asymmetric \(q\text{-P}_{\text{V}}\) and \(d\text{-P}_{\text{IV}}\) equations and their Schlesinger transformations. (English) Zbl 1034.34104 J. Nonlinear Math. Phys. 10, No. 2, 215-228 (2003). MSC: 34M55 37K10 37K35 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Nonlinear Math. Phys. 10, No. 2, 215--228 (2003; Zbl 1034.34104) Full Text: DOI arXiv
Grammaticos, B.; Tamizhmani, T.; Ramani, A.; Carstea, A. S.; Tamizhmani, K. M. A bilinear approach to the discrete Painlevé I equations. (English) Zbl 1074.39023 J. Phys. Soc. Japan 71, No. 2, 443-447 (2002). MSC: 39A13 39A12 34M55 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. Soc. Japan 71, No. 2, 443--447 (2002; Zbl 1074.39023) Full Text: DOI
Ramani, A.; Grammaticos, B.; Lafortune, S. The discrete Chazy III system of Labrunie-Conte is not integrable. (English) Zbl 1046.39012 J. Phys. A, Math. Gen. 35, No. 37, 7943-7946 (2002). Reviewer: Marat Akhmet (Ankara) MSC: 39A12 37J30 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Gen. 35, No. 37, 7943--7946 (2002; Zbl 1046.39012) Full Text: DOI
Tokihiro, T.; Grammaticos, B.; Ramani, A. From the continuous P\(_{\text{V}}\) to discrete Painlevé equations. (English) Zbl 1046.39013 J. Phys. A, Math. Gen. 35, No. 28, 5943-5950 (2002). MSC: 39A12 33E17 34M55 37K35 PDFBibTeX XMLCite \textit{T. Tokihiro} et al., J. Phys. A, Math. Gen. 35, No. 28, 5943--5950 (2002; Zbl 1046.39013) Full Text: DOI
Ramani, A.; Grammaticos, B. What is the discrete analogue of the Painlevé property? (English) Zbl 1014.39014 ANZIAM J. 44, No. 1, 21-32 (2002). Reviewer: S.Balint (Timişoara) MSC: 39A12 37J35 34M55 PDFBibTeX XMLCite \textit{A. Ramani} and \textit{B. Grammaticos}, ANZIAM J. 44, No. 1, 21--32 (2002; Zbl 1014.39014) Full Text: DOI
Lafortune, S.; Carstea, A. S.; Ramani, A.; Grammaticos, B.; Ohta, Y. Integrable third-order mappings and their growth properties. (English) Zbl 1011.39017 Regul. Chaotic Dyn. 6, No. 4, 443-448 (2001). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 39A12 34M55 37J35 PDFBibTeX XMLCite \textit{S. Lafortune} et al., Regul. Chaotic Dyn. 6, No. 4, 443--448 (2001; Zbl 1011.39017)
Grammaticos, B.; Tamizhmani, T.; Ramani, A.; Tamizhmani, K. M. Growth and integrability in discrete systems. (English) Zbl 1006.39018 J. Phys. A, Math. Gen. 34, No. 18, 3811-3821 (2001). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 39A12 37K10 34M55 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Gen. 34, No. 18, 3811--3821 (2001; Zbl 1006.39018) Full Text: DOI
Ohta, Yasuhiro; Ramani, A.; Grammaticos, B. An affine Weyl group approach to the 8-parameter discrete Painlevé equation. (English) Zbl 0985.39500 RIMS Kokyuroku 1203, 109-119 (2001). MSC: 39A12 37K35 PDFBibTeX XMLCite \textit{Y. Ohta} et al., RIMS Kokyuroku 1203, 109--119 (2001; Zbl 0985.39500)
Lafortune, S.; Ramani, A.; Grammaticos, B.; Ohta, Y.; Tamizhmani, K. M. 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 PDFBibTeX XMLCite \textit{S. Lafortune} et al., in: 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). 299--311 (2001; Zbl 0991.39009) Full Text: arXiv
Ramani, A.; Carstea, A. S.; Grammaticos, B. Fermionic extensions of Painlevé equations. (English) Zbl 0988.81042 Phys. Lett., A 292, No. 1-2, 115-119 (2001). MSC: 81Q60 35Q53 37K35 34M55 33E17 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., Phys. Lett., A 292, No. 1--2, 115--119 (2001; Zbl 0988.81042) Full Text: DOI
Carstea, A. S.; Ramani, A.; Grammaticos, B. Constructing the soliton solutions for the \(N=1\) supersymmetric KdV hierarchy. (English) Zbl 1067.37107 Nonlinearity 14, No. 5, 1419-1423 (2001). MSC: 37K40 35Q51 35Q53 37K10 PDFBibTeX XMLCite \textit{A. S. Carstea} et al., Nonlinearity 14, No. 5, 1419--1423 (2001; Zbl 1067.37107) Full Text: DOI
Grammaticos, B.; Ramani, A.; Carstea, A. S. Bilinearization and soliton solutions of the \(N=1\) supersymmetric sine-Gordon equation. (English) Zbl 0980.35147 J. Phys. A, Math. Gen. 34, No. 23, 4881-4886 (2001). MSC: 35Q53 37K40 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Gen. 34, No. 23, 4881--4886 (2001; Zbl 0980.35147) Full Text: DOI
Ramani, A.; Grammaticos, B.; Ohta, Y. A geometrical description of the discrete Painlevé VI and V equations. (English) Zbl 0980.39010 Commun. Math. Phys. 217, No. 2, 315-329 (2001). Reviewer: Pavel Talpalaru (Iaşi) MSC: 39A13 39A12 37J99 34M55 17B80 PDFBibTeX XMLCite \textit{A. Ramani} et al., Commun. Math. Phys. 217, No. 2, 315--329 (2001; Zbl 0980.39010) Full Text: DOI
Tremblay, S.; Grammaticos, B.; Ramani, A. Integrable lattice equations and their growth properties. (English) Zbl 1072.37509 Phys. Lett., A 278, No. 6, 319-324 (2001). MSC: 37J30 PDFBibTeX XMLCite \textit{S. Tremblay} et al., Phys. Lett., A 278, No. 6, 319--324 (2001; Zbl 1072.37509) Full Text: DOI arXiv
Lafortune, S.; Grammaticos, B.; Ramani, A.; Winternitz, P. Discrete systems related to some equations of the Painlevé-Gambier classification. (English) Zbl 1115.39302 Phys. Lett., A 270, No. 1-2, 55-61 (2000). MSC: 39A12 34A34 37K10 PDFBibTeX XMLCite \textit{S. Lafortune} et al., Phys. Lett., A 270, No. 1--2, 55--61 (2000; Zbl 1115.39302) Full Text: DOI arXiv
Grammaticos, B.; Ramani, A. Integrability in a discrete world. (English) Zbl 1115.37344 Chaos Solitons Fractals 11, No. 1-3, 7-18 (2000). MSC: 37K10 34M55 39A12 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Chaos Solitons Fractals 11, No. 1--3, 7--18 (2000; Zbl 1115.37344) Full Text: DOI
Tamizhmani, K. M.; Kanaga Vel, S.; Grammaticos, B.; Ramani, A. Symmetries and singularity confinement of differential-difference KP equation. (English) Zbl 0983.35124 Daniel, M. (ed.) et al., Nonlinear dynamics. Integrability and chaos. Proceedings of the international conference, Tiruchirapalli, India, February 12-16, 1998. New Delhi: Narosa Publishing House. 211-222 (2000). MSC: 35Q53 35R10 37K10 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., in: Nonlinear dynamics. Integrability and chaos. Proceedings of the international conference, Tiruchirapalli, India, February 12--16, 1998. New Delhi: Narosa Publishing House. 211--222 (2000; Zbl 0983.35124)
Grammaticos, B.; Gérard, O.; Ramani, A. Integrability and chaos in discrete and ultradiscrete systems. (English) Zbl 0991.37052 Daniel, M. (ed.) et al., Nonlinear dynamics. Integrability and chaos. Proceedings of the international conference, Tiruchirapalli, India, February 12-16, 1998. New Delhi: Narosa Publishing House. 161-179 (2000). MSC: 37M05 37J99 37K60 37B15 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., in: Nonlinear dynamics. Integrability and chaos. Proceedings of the international conference, Tiruchirapalli, India, February 12--16, 1998. New Delhi: Narosa Publishing House. 161--179 (2000; Zbl 0991.37052)
Ramani, A.; Grammaticos, B.; Lafortune, S.; Ohta, Y. Linearizable mappings and the low-growth criterion. (English) Zbl 0962.37020 J. Phys. A, Math. Gen. 33, No. 31, L287-L292 (2000). MSC: 37E30 39A12 37C15 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Gen. 33, No. 31, L287--L292 (2000; Zbl 0962.37020) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Lafortune, S. 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 PDFBibTeX XMLCite \textit{A. Ramani} et al., in: 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). 367--380 (2000; Zbl 0959.39020) Full Text: arXiv
Lafortune, S.; Grammaticos, B.; Ramani, A. 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). MSC: 39A12 34A34 37J35 34M55 PDFBibTeX XMLCite \textit{S. Lafortune} et al., in: 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). 255--261 (2000; Zbl 0959.39019) Full Text: arXiv
Ramani, A.; Grammaticos, B.; Tremblay, S. Integrable systems without the Painlevé property. (English) Zbl 0953.34077 J. Phys. A, Math. Gen. 33, No. 15, 3045-3052 (2000). MSC: 34M55 39A12 34A34 37J35 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Gen. 33, No. 15, 3045--3052 (2000; Zbl 0953.34077) Full Text: DOI arXiv
Ramani, A.; Ohta, Y.; Grammaticos, B. Discrete integrable systems from continuous Painlevé equations through limiting procedures. (English) Zbl 0963.37069 Nonlinearity 13, No. 4, 1073-1085 (2000). MSC: 37K15 39A12 35Q51 37K60 34M55 PDFBibTeX XMLCite \textit{A. Ramani} et al., Nonlinearity 13, No. 4, 1073--1085 (2000; Zbl 0963.37069) Full Text: DOI
Grammaticos, B.; Ramani, A. The hunting for the discrete Painlevé equations. (English) Zbl 0951.39005 Regul. Chaotic Dyn. 5, No. 1, 53-66 (2000). Reviewer: I.A.Taimanov (Novosibirsk) MSC: 39A12 37J35 34M55 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Regul. Chaotic Dyn. 5, No. 1, 53--66 (2000; Zbl 0951.39005)
Ramani, A.; Grammaticos, B.; Tamizhmani, T.; Tamizhmani, K. M. On a transcendental equation related to Painlevé III, and its discrete forms. (English) Zbl 0948.34070 J. Phys. A, Math. Gen. 33, No. 3, 579-590 (2000). MSC: 34M55 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Gen. 33, No. 3, 579--590 (2000; Zbl 0948.34070) Full Text: DOI
Tamizhmani, K. M.; Kanagavel, S.; Grammaticos, B.; Ramani, A. Singularity structure and algebraic properties of the differential-difference Kadomtsev-Petviashvili equation. (English) Zbl 1121.37318 Chaos Solitons Fractals 11, No. 9, 1423-1431 (2000). MSC: 37K10 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., Chaos Solitons Fractals 11, No. 9, 1423--1431 (2000; Zbl 1121.37318) Full Text: DOI
Grammaticos, B.; Ramani, A.; Tamizhmani, K. M. Deautonomisation of differential-difference equations and discrete Painlevé equations. (English) Zbl 0952.37039 Chaos Solitons Fractals 11, No. 5, 757-764 (2000). Reviewer: Samir Musayev (Baku) MSC: 37K10 39A12 34K99 34M55 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Chaos Solitons Fractals 11, No. 5, 757--764 (2000; Zbl 0952.37039) Full Text: DOI
Grammaticos, Basile; Nijhoff, Frank W.; Ramani, Alfred Discrete Painlevé equations. (English) Zbl 1014.39013 Conte, Robert (ed.), The Painlevé property. One century later. New York, NY: Springer. CRM Series in Mathematical Physics. 413-516 (1999). MSC: 39A12 37J35 34M55 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., in: The Painlevé property. One century later. New York, NY: Springer. 413--516 (1999; Zbl 1014.39013)
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Ohta, Y. Integrability criteria for differential-difference systems: A comparison of singularity confinement and low-growth requirements. (English) Zbl 0946.37038 J. Phys. A, Math. Gen. 32, No. 38, 6679-6685 (1999). MSC: 37K10 34K99 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., J. Phys. A, Math. Gen. 32, No. 38, 6679--6685 (1999; Zbl 0946.37038) Full Text: DOI
Ohta, Y.; Tamizhmani, K. M.; Grammaticos, B.; Ramani, A. Singularity confinement and algebraic entropy: the case of the discrete Painlevé equations. (English) Zbl 0939.37041 Phys. Lett., A 262, No. 2-3, 152-157 (1999). MSC: 37K10 37K25 PDFBibTeX XMLCite \textit{Y. Ohta} et al., Phys. Lett., A 262, No. 2--3, 152--157 (1999; Zbl 0939.37041) Full Text: DOI arXiv
Joshi, N.; Ramani, A.; Grammaticos, B. A bilinear approach to discrete Miura transformations. (English) Zbl 1044.37547 Phys. Lett., A 249, No. 1-2, 59-62 (1998). MSC: 37K35 PDFBibTeX XMLCite \textit{N. Joshi} et al., Phys. Lett., A 249, No. 1--2, 59--62 (1998; Zbl 1044.37547) Full Text: DOI arXiv
Grammaticos, B.; Ramani, A.; Winternitz, P. Discretizing families of linearizable equations. (English) Zbl 1044.37529 Phys. Lett., A 245, No. 5, 382-388 (1998). MSC: 37K10 39A12 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Phys. Lett., A 245, No. 5, 382--388 (1998; Zbl 1044.37529) Full Text: DOI
Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y. The ultimate discretisation of the Painlevé equations. (English) Zbl 0936.39006 Physica D 114, No. 3-4, 185-196 (1998). MSC: 39A12 37K35 PDFBibTeX XMLCite \textit{A. Ramani} et al., Physica D 114, No. 3--4, 185--196 (1998; Zbl 0936.39006) Full Text: DOI
Grammaticos, B.; Ohta, Y.; Ramani, A.; Sakai, H. Degeneration through coalescence of the \(q\)-Painlevé VI equation. (English) Zbl 0932.39017 J. Phys. A, Math. Gen. 31, No. 15, 3545-3558 (1998). Reviewer: Patricia J.Y.Wong (Singapore) MSC: 39A12 37J35 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., J. Phys. A, Math. Gen. 31, No. 15, 3545--3558 (1998; Zbl 0932.39017) Full Text: DOI
Grammaticos, B.; Ramani, A.; Winternitz, P. Discretizing families of linearizable equations. (English) Zbl 0913.58028 Phys. Lett., A 245, No. 5, 382-388 (1998). MSC: 37J35 37K10 39A10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Phys. Lett., A 245, No. 5, 382--388 (1998; Zbl 0913.58028) Full Text: DOI
Grammaticos, B.; Ramani, A.; Lafortune, S. The Gambier mapping, revisited. (English) Zbl 0910.58017 Physica A 253, No. 1-4, 260-270 (1998). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Physica A 253, No. 1--4, 260--270 (1998; Zbl 0910.58017) Full Text: DOI arXiv
Ramani, A.; Grammaticos, B.; Tamizhmani, K. M.; Lafortune, S. Again, linearizable mappings. (English) Zbl 0910.58019 Physica A 252, No. 1-2, 138-150 (1998). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., Physica A 252, No. 1--2, 138--150 (1998; Zbl 0910.58019) Full Text: DOI arXiv
Grammaticos, B.; Ohta, Y.; Ramani, A.; Satsuma, J.; Tamizhmani, K. M. A Miura of the Painlevé I equation and its discrete analogs. (English) Zbl 0866.35118 Lett. Math. Phys. 39, No. 2, 179-186 (1997). MSC: 35Q58 37J35 37K10 81R50 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Lett. Math. Phys. 39, No. 2, 179--186 (1997; Zbl 0866.35118) Full Text: DOI
Grammaticos, B.; Papageorgiou, V.; Ramani, A. Discrete dressing transformations and Painlevé equations. (English) Zbl 0969.39501 Phys. Lett., A 235, No. 5, 475-479 (1997). MSC: 39A12 35Q53 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Phys. Lett., A 235, No. 5, 475--479 (1997; Zbl 0969.39501) Full Text: DOI
Grammaticos, B.; Ramani, A. Integrability – and how to detect it. (English) Zbl 0904.58028 Kosmann-Schwarzbach, Yvette (ed.) et al., Integrability of nonlinear systems. Proceedings of the CIMPA school, Pondicherry Univ., India, January 8–26, 1996. Berlin: Springer. Lect. Notes Phys. 495, 30-94 (1997). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Lect. Notes Phys. 495, 30--94 (1997; Zbl 0904.58028)
Grammaticos, B.; Ramani, A. Retracing the Painlevé-Gambier classification for discrete systems. (English) Zbl 0896.35122 Methods Appl. Anal. 4, No. 2, 196-211 (1997). Reviewer: B.A.Malomed (Tel Aviv) MSC: 35Q53 39A10 37J35 37K10 35Q58 65Q05 PDFBibTeX XMLCite \textit{B. Grammaticos} and \textit{A. Ramani}, Methods Appl. Anal. 4, No. 2, 196--211 (1997; Zbl 0896.35122) Full Text: DOI
Hirota, R.; Iwao, M.; Ramani, A.; Takahashi, D.; Grammaticos, B.; Ohta, Y. From integrability to chaos in a Lotka-Volterra cellular automaton. (English) Zbl 0910.58022 Phys. Lett., A 236, No. 1-2, 39-44 (1997). MSC: 37B15 37D45 68Q80 37J35 37K10 PDFBibTeX XMLCite \textit{R. Hirota} et al., Phys. Lett., A 236, No. 1--2, 39--44 (1997; Zbl 0910.58022) Full Text: DOI
Ramani, A.; Grammaticos, B.; Papageorgiou, V. Singularity confinement. (English) Zbl 0858.58025 Levi, Decio (ed.) et al., Symmetries and integrability of difference equations. Papers from the workshop, May 22–29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 9, 303-318 (1996). MSC: 37J35 37K10 39A10 PDFBibTeX XMLCite \textit{A. Ramani} et al., in: Symmetries and integrability of difference equations. Papers from the workshop, May 22--29, 1994, Estérel, Canada. Providence, RI: American Mathematical Society. 303--318 (1996; Zbl 0858.58025)
Tamizhmani, K. M.; Ramani, A.; Grammaticos, B.; Ohta, Y. A study of the discrete \(P_ V\) equation: Miura transformations and particular solutions. (English) Zbl 0863.39004 Lett. Math. Phys. 38, No. 3, 289-296 (1996). Reviewer: Yang En-Hao (Guangzhou) MSC: 39A10 37B99 33E30 37J35 37K10 PDFBibTeX XMLCite \textit{K. M. Tamizhmani} et al., Lett. Math. Phys. 38, No. 3, 289--296 (1996; Zbl 0863.39004) Full Text: DOI
Ramani, A.; Grammaticos, B.; Satsuma, J. Bilinear discrete Painlevé equations. (English) Zbl 0867.39001 J. Phys. A, Math. Gen. 28, No. 16, 4655-4665 (1995). MSC: 39A10 37J35 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., J. Phys. A, Math. Gen. 28, No. 16, 4655--4665 (1995; Zbl 0867.39001) Full Text: DOI
Papageorgiou, V.; Grammaticos, B.; Ramani, A. Orthogonal polynomial approach to discrete Lax pairs for initial boundary-value problems of the QD algorithm. (English) Zbl 0831.58028 Lett. Math. Phys. 34, No. 2, 91-101 (1995). MSC: 37J35 37K10 39A10 65F15 70F10 PDFBibTeX XMLCite \textit{V. Papageorgiou} et al., Lett. Math. Phys. 34, No. 2, 91--101 (1995; Zbl 0831.58028) Full Text: DOI
Grammaticos, B.; Papageorgiou, V.; Ramani, A. KdV equations and integrability detectors. (English) Zbl 0829.35112 Acta Appl. Math. 39, No. 1-3, 335-348 (1995). MSC: 35Q53 37J35 37K10 39A12 PDFBibTeX XMLCite \textit{B. Grammaticos} et al., Acta Appl. Math. 39, No. 1--3, 335--348 (1995; Zbl 0829.35112) Full Text: DOI
Ramani, A.; Grammaticos, B.; Ravoson, V. Coalescence of singularities and Ziglin’s approach to nonintegrability. (English) Zbl 0910.58018 Phys. Lett., A 199, No. 5-6, 327-332 (1995). MSC: 37J35 37K10 PDFBibTeX XMLCite \textit{A. Ramani} et al., Phys. Lett., A 199, No. 5--6, 327--332 (1995; Zbl 0910.58018) Full Text: DOI