Morozov, Oleg I. 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 PDFBibTeX XMLCite \textit{O. I. Morozov}, Contemp. Math. 788, 215--229 (2023; Zbl 07738952) Full Text: DOI arXiv
Igonin, S.; Konstantinou-Rizos, S. Local Yang-Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1516.37076 J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023). MSC: 37J70 37K35 39A36 35Q55 16T25 PDFBibTeX XMLCite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 56, No. 27, Article ID 275202, 18 p. (2023; Zbl 1516.37076) Full Text: DOI arXiv
Boujakhrout, Y.; Saidi, E. H.; Laamara, R. Ahl; Drissi, L. B. Lax operator and superspin chains from 4D CS gauge theory. (English) Zbl 1520.81125 J. Phys. A, Math. Theor. 55, No. 41, Article ID 415402, 46 p. (2022). MSC: 81T13 37K10 81R05 17B80 PDFBibTeX XMLCite \textit{Y. Boujakhrout} et al., J. Phys. A, Math. Theor. 55, No. 41, Article ID 415402, 46 p. (2022; Zbl 1520.81125) Full Text: DOI arXiv
Igonin, Sergei; Konstantinou-Rizos, Sotiris Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation. (English) Zbl 1519.39018 J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 39A36 37J70 37J37 37K10 16T25 15A24 PDFBibTeX XMLCite \textit{S. Igonin} and \textit{S. Konstantinou-Rizos}, J. Phys. A, Math. Theor. 55, No. 40, Article ID 405205, 29 p. (2022; Zbl 1519.39018) Full Text: DOI arXiv
Pu, Jun-cai; Chen, Yong Integrability and exact solutions of the (2+1)-dimensional KdV equation with Bell polynomials approach. (English) Zbl 1501.35351 Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 861-881 (2022). MSC: 35Q53 35Q51 35C15 35C08 35B40 37K10 37K35 41A58 PDFBibTeX XMLCite \textit{J.-c. Pu} and \textit{Y. Chen}, Acta Math. Appl. Sin., Engl. Ser. 38, No. 4, 861--881 (2022; Zbl 1501.35351) Full Text: DOI
Frassek, Rouven; Tsymbaliuk, Alexander Rational Lax matrices from antidominantly shifted extended Yangians: BCD types. (English) Zbl 1514.17014 Commun. Math. Phys. 392, No. 2, 545-619 (2022). MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{R. Frassek} and \textit{A. Tsymbaliuk}, Commun. Math. Phys. 392, No. 2, 545--619 (2022; Zbl 1514.17014) Full Text: DOI arXiv
Jia, Man; Lou, S. Y. Integrable nonlinear Klein-Gordon systems with \(\mathcal{PT}\) nonlocality and/or space-time exchange nonlocality. (English) Zbl 1495.81060 Appl. Math. Lett. 130, Article ID 108018, 7 p. (2022). MSC: 81Q80 81Q05 34B10 81R20 22E70 18D65 35Q55 35C08 PDFBibTeX XMLCite \textit{M. Jia} and \textit{S. Y. Lou}, Appl. Math. Lett. 130, Article ID 108018, 7 p. (2022; Zbl 1495.81060) Full Text: DOI arXiv
Frassek, Rouven; Pestun, Vasily; Tsymbaliuk, Alexander Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type. (English) Zbl 1514.17013 Adv. Math. 401, Article ID 108283, 73 p. (2022). MSC: 17B37 81R10 PDFBibTeX XMLCite \textit{R. Frassek} et al., Adv. Math. 401, Article ID 108283, 73 p. (2022; Zbl 1514.17013) Full Text: DOI arXiv
Ko, Hankyung; Mazorchuk, Volodymyr; Zhang, Xiaoting Adjunction in the absence of identity. (English) Zbl 1481.18026 Appl. Categ. Struct. 30, No. 1, 123-172 (2022). Reviewer: Mee Seong Im (Annapolis) MSC: 18N10 17B10 16G10 PDFBibTeX XMLCite \textit{H. Ko} et al., Appl. Categ. Struct. 30, No. 1, 123--172 (2022; Zbl 1481.18026) Full Text: DOI arXiv
Yan, Xue-Wei A two-component modified Korteweg-de Vries equation: Riemann-Hilbert problem and multi-soliton solutions. (English) Zbl 1479.35730 Int. J. Comput. Math. 98, No. 3, 569-579 (2021). MSC: 35Q51 35Q53 35C99 68W30 74J35 PDFBibTeX XMLCite \textit{X.-W. Yan}, Int. J. Comput. Math. 98, No. 3, 569--579 (2021; Zbl 1479.35730) Full Text: DOI
Valeri, Daniele \( W \)-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). MSC: 81R10 81Q80 18D65 37K10 14D21 PDFBibTeX XMLCite \textit{D. Valeri}, in: Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1--5, 2019. Cham: Springer. 181--198 (2021; Zbl 1471.81043) Full Text: DOI arXiv
Morozov, Oleg I. Isospectral deformation of the reduced quasi-classical self-dual Yang-Mills equation. (English) Zbl 1498.17038 Differ. Geom. Appl. 76, Article ID 101742, 14 p. (2021). MSC: 17B65 17B56 17B80 22E70 35Q40 58J70 PDFBibTeX XMLCite \textit{O. I. Morozov}, Differ. Geom. Appl. 76, Article ID 101742, 14 p. (2021; Zbl 1498.17038) Full Text: DOI arXiv
Morozov, Oleg I. Integrability structures of the generalized Hunter-Saxton equation. (English) Zbl 1458.35138 Anal. Math. Phys. 11, No. 2, Paper No. 50, 22 p. (2021). MSC: 35G20 35Q60 17B50 22E70 PDFBibTeX XMLCite \textit{O. I. Morozov}, Anal. Math. Phys. 11, No. 2, Paper No. 50, 22 p. (2021; Zbl 1458.35138) Full Text: DOI arXiv
Gürses, Metin; Pekcan, Aslı; Zheltukhin, Kostyantyn Nonlocal hydrodynamic type of equations. (English) Zbl 1450.35014 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105242, 12 p. (2020). MSC: 35A30 35Q55 37K10 PDFBibTeX XMLCite \textit{M. Gürses} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105242, 12 p. (2020; Zbl 1450.35014) Full Text: DOI arXiv
Habibullin, I. T.; Khakimova, A. R. Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras \(A^{(1)}_{N-1}\). (English) Zbl 1504.81093 J. Phys. A, Math. Theor. 52, No. 36, Article ID 365202, 29 p. (2019). MSC: 81R12 81R10 17B81 PDFBibTeX XMLCite \textit{I. T. Habibullin} and \textit{A. R. Khakimova}, J. Phys. A, Math. Theor. 52, No. 36, Article ID 365202, 29 p. (2019; Zbl 1504.81093) Full Text: DOI arXiv
Dai, Jia-Liang A universal construction of Calogero-Moser system with two types spins interaction. (English) Zbl 1452.81129 Commun. Theor. Phys. 71, No. 5, 533-544 (2019). MSC: 81R10 81U99 82C22 PDFBibTeX XMLCite \textit{J.-L. Dai}, Commun. Theor. Phys. 71, No. 5, 533--544 (2019; Zbl 1452.81129) Full Text: DOI
Popowicz, Ziemowit \(N = 2\) supercomplexification of the Korteweg-de Vries, Sawada-Kotera and Kaup-Kupershmidt equations. (English) Zbl 1448.81343 J. Nonlinear Math. Phys. 26, No. 2, 294-312 (2019). MSC: 81Q60 81V73 81V74 35Q53 37K10 81R05 PDFBibTeX XMLCite \textit{Z. Popowicz}, J. Nonlinear Math. Phys. 26, No. 2, 294--312 (2019; Zbl 1448.81343) Full Text: DOI arXiv
Morozov, Oleg I. Lax representations with non-removable parameters and integrable hierarchies of PDEs via exotic cohomology of symmetry algebras. (English) Zbl 1473.37088 J. Geom. Phys. 143, 150-163 (2019). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 37K30 37K10 37K06 35B06 PDFBibTeX XMLCite \textit{O. I. Morozov}, J. Geom. Phys. 143, 150--163 (2019; Zbl 1473.37088) Full Text: DOI arXiv
Chalykh, Oleg Quantum Lax pairs via Dunkl and Cherednik operators. (English) Zbl 1436.81058 Commun. Math. Phys. 369, No. 1, 261-316 (2019). Reviewer: Eugene Kryachko (Kyiv) MSC: 81R12 81V70 17B80 20C08 37K10 PDFBibTeX XMLCite \textit{O. Chalykh}, Commun. Math. Phys. 369, No. 1, 261--316 (2019; Zbl 1436.81058) Full Text: DOI arXiv Link
Babelon, O.; Kozlowski, K. K.; Pasquier, V. The Toda\(_2\) chain. (English) Zbl 1411.81107 Lett. Math. Phys. 109, No. 2, 225-241 (2019). MSC: 81R10 81T40 81R12 82B20 37K10 PDFBibTeX XMLCite \textit{O. Babelon} et al., Lett. Math. Phys. 109, No. 2, 225--241 (2019; Zbl 1411.81107) Full Text: DOI arXiv
Sergeev, A. N. 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). MSC: 17B10 17-02 17B22 81R10 PDFBibTeX XMLCite \textit{A. N. Sergeev}, J. Math. Sci., New York 235, No. 6, 756--787 (2018; Zbl 1422.17014); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 136, 72--102 (2017) Full Text: DOI
Lisovyy, O.; Nagoya, H.; Roussillon, J. Irregular conformal blocks and connection formulae for Painlevé V functions. (English) Zbl 1404.33020 J. Math. Phys. 59, No. 9, 091409, 27 p. (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 58B15 14D05 17B68 34M30 34M35 34M40 34M50 34M55 34E05 35Q15 32S40 58K10 81R05 81R10 PDFBibTeX XMLCite \textit{O. Lisovyy} et al., J. Math. Phys. 59, No. 9, 091409, 27 p. (2018; Zbl 1404.33020) Full Text: DOI arXiv
Its, A. R.; Lisovyy, O.; Prokhorov, A. Monodromy dependence and connection formulae for isomonodromic tau functions. (English) Zbl 1396.33039 Duke Math. J. 167, No. 7, 1347-1432 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 33E17 34E05 34E10 34M35 34M40 34M55 34M56 PDFBibTeX XMLCite \textit{A. R. Its} et al., Duke Math. J. 167, No. 7, 1347--1432 (2018; Zbl 1396.33039) Full Text: DOI arXiv Euclid
Morozov, Oleg I. Deformations of infinite-dimensional Lie algebras, exotic cohomology, and integrable nonlinear partial differential equations. (English) Zbl 1387.58023 J. Geom. Phys. 128, 20-31 (2018). MSC: 58H05 58J70 35A30 37K05 37K10 PDFBibTeX XMLCite \textit{O. I. Morozov}, J. Geom. Phys. 128, 20--31 (2018; Zbl 1387.58023) Full Text: DOI arXiv
Gerdjikov, Vladimir S.; Grahovski, Georgi G.; Ivanov, Rossen I. On integrable wave interactions and Lax pairs on symmetric spaces. (English) Zbl 1461.35180 Wave Motion 71, 53-70 (2017). MSC: 35Q15 35Q53 35C08 PDFBibTeX XMLCite \textit{V. S. Gerdjikov} et al., Wave Motion 71, 53--70 (2017; Zbl 1461.35180) Full Text: DOI arXiv Link
Mikhailov, Alexander V.; Papamikos, Georgios; Wang, Jing Ping Darboux transformation for the vector sine-Gordon equation and integrable equations on a sphere. (English) Zbl 1358.35149 Lett. Math. Phys. 106, No. 7, 973-996 (2016). MSC: 35Q51 37K10 37K35 39A14 PDFBibTeX XMLCite \textit{A. V. Mikhailov} et al., Lett. Math. Phys. 106, No. 7, 973--996 (2016; Zbl 1358.35149) Full Text: DOI arXiv Link
Liechty, Karl; Wang, Dong Two Lax systems for the Painlevé II equation, and two related kernels in random matrix theory. (English) Zbl 1353.34111 SIAM J. Math. Anal. 48, No. 5, 3618-3666 (2016). Reviewer: Dmitry Artamonov (Moskva) MSC: 34M55 33E17 30E20 60B20 PDFBibTeX XMLCite \textit{K. Liechty} and \textit{D. Wang}, SIAM J. Math. Anal. 48, No. 5, 3618--3666 (2016; Zbl 1353.34111) Full Text: DOI arXiv
Berkeley, George; Igonin, Sergei Miura-type transformations for lattice equations and Lie group actions associated with Darboux-Lax representations. (English) Zbl 1344.37078 J. Phys. A, Math. Theor. 49, No. 27, Article ID 275201, 43 p. (2016). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K35 37K10 37K60 22E70 PDFBibTeX XMLCite \textit{G. Berkeley} and \textit{S. Igonin}, J. Phys. A, Math. Theor. 49, No. 27, Article ID 275201, 43 p. (2016; Zbl 1344.37078) Full Text: DOI arXiv
Myrzakulov, Ratbay; Mamyrbekova, Galya; Nugmanova, Gulgassyl; Lakshmanan, Muthusamy Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials. (English) Zbl 1376.82108 Symmetry 7, No. 3, 1352-1375 (2015). MSC: 82D40 82D80 35Q55 35Q53 35Q60 37K10 PDFBibTeX XMLCite \textit{R. Myrzakulov} et al., Symmetry 7, No. 3, 1352--1375 (2015; Zbl 1376.82108) Full Text: DOI arXiv
Sheinman, Oleg K. Global current algebras and localization on Riemann surfaces. (English) Zbl 1382.17013 Mosc. Math. J. 15, No. 4, 833-846 (2015). MSC: 17B65 17B80 81R10 81R12 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Mosc. Math. J. 15, No. 4, 833--846 (2015; Zbl 1382.17013) Full Text: Link
Liao, Jie; Ji, Chao Extended Foldy-Lax approximation on multiple scattering. (English) Zbl 1488.35408 Math. Model. Anal. 19, No. 1, 85-98 (2014). MSC: 35P25 35C15 35J05 45E10 47A40 PDFBibTeX XMLCite \textit{J. Liao} and \textit{C. Ji}, Math. Model. Anal. 19, No. 1, 85--98 (2014; Zbl 1488.35408) Full Text: DOI
Netzer, Tim; Thom, Andreas Hyperbolic polynomials and generalized Clifford algebras. (English) Zbl 1316.15028 Discrete Comput. Geom. 51, No. 4, 802-814 (2014). Reviewer: Eckhard Hitzer (Tokyo) MSC: 15A66 13P15 90C22 14M12 PDFBibTeX XMLCite \textit{T. Netzer} and \textit{A. Thom}, Discrete Comput. Geom. 51, No. 4, 802--814 (2014; Zbl 1316.15028) Full Text: DOI arXiv
Chervov, A.; Falqui, G.; Rubtsov, V.; Silantyev, A. Algebraic properties of Manin matrices. II: \(q\)-analogues and integrable systems. (English) Zbl 1314.15020 Adv. Appl. Math. 60, 25-89 (2014). MSC: 15B33 05A19 05A30 15A15 16T20 17B37 20G42 81R50 PDFBibTeX XMLCite \textit{A. Chervov} et al., Adv. Appl. Math. 60, 25--89 (2014; Zbl 1314.15020) Full Text: DOI arXiv
Wang, Wei On 3-gauge transformations, 3-curvatures, and Gray-categories. (English) Zbl 1300.81065 J. Math. Phys. 55, No. 4, 043506, 32 p. (2014). Reviewer: Sergiy Koshkin (Houston) MSC: 81T30 81T13 81T25 22E70 05E45 PDFBibTeX XMLCite \textit{W. Wang}, J. Math. Phys. 55, No. 4, 043506, 32 p. (2014; Zbl 1300.81065) Full Text: DOI arXiv
Liao, Jie Foldy-Lax approximation on multiple scattering by many small scatterers. (English) Zbl 1286.31002 Appl. Anal. 92, No. 12, 2547-2560 (2013). MSC: 31A10 35J05 74J20 PDFBibTeX XMLCite \textit{J. Liao}, Appl. Anal. 92, No. 12, 2547--2560 (2013; Zbl 1286.31002) Full Text: DOI
Campoamor-Stursberg, R.; Musso, F. Two-body homogeneous rational Gaudin models and the missing label problem. (English) Zbl 1280.81065 J. Phys. A, Math. Theor. 46, No. 33, Article ID 335201, 13 p. (2013). Reviewer: Daniel Bulacu (Bucharest) MSC: 81R12 22D20 22E70 PDFBibTeX XMLCite \textit{R. Campoamor-Stursberg} and \textit{F. Musso}, J. Phys. A, Math. Theor. 46, No. 33, Article ID 335201, 13 p. (2013; Zbl 1280.81065) Full Text: DOI
Ball, Joseph A.; Bolotnikov, Vladimir Weighted Bergman spaces: shift-invariant subspaces and input/state/output linear systems. (English) Zbl 1290.47014 Integral Equations Oper. Theory 76, No. 3, 301-356 (2013). Reviewer: Ilie Valuşescu (Bucureşti) MSC: 47A48 47A57 PDFBibTeX XMLCite \textit{J. A. Ball} and \textit{V. Bolotnikov}, Integral Equations Oper. Theory 76, No. 3, 301--356 (2013; Zbl 1290.47014) Full Text: DOI arXiv
Tonel, A. P.; Ymai, L. H. Integrable models for Bose-Einstein condensates in a double-well potential formulated from Holstein-Primakoff transformations. (English) Zbl 1267.82032 J. Phys. A, Math. Theor. 46, No. 12, Article ID 125202, 14 p. (2013). MSC: 82B23 81R05 PDFBibTeX XMLCite \textit{A. P. Tonel} and \textit{L. H. Ymai}, J. Phys. A, Math. Theor. 46, No. 12, Article ID 125202, 14 p. (2013; Zbl 1267.82032) Full Text: DOI
Sheinman, Oleg K. 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). MSC: 17B66 17B80 14H10 14H15 14H55 30F30 81R10 81T40 PDFBibTeX XMLCite \textit{O. K. Sheinman}, in: Geometric methods in physics. XXX workshop, Białowieża, Poland, June 26 -- July 2, 2011. Selected papers based on the presentations at the workshop. Basel: Birkhäuser. 405--413 (2013; Zbl 1281.17023) Full Text: DOI arXiv
Ball, Joseph A.; Fang, Quanlei 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 PDFBibTeX XMLCite \textit{J. A. Ball} and \textit{Q. Fang}, Oper. Theory: Adv. Appl. 222, 43--71 (2012; Zbl 1308.47015) Full Text: DOI
Fokas, A. S.; Spence, E. A. Synthesis, as opposed to separation, of variables. (English) Zbl 1387.35013 SIAM Rev. 54, No. 2, 291-324 (2012). MSC: 35A22 35C05 35C15 35Q53 37K10 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{E. A. Spence}, SIAM Rev. 54, No. 2, 291--324 (2012; Zbl 1387.35013) Full Text: DOI Link
Sheinman, Oleg K. 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). Reviewer: Helmut Rumpf (Wien) MSC: 81-02 17B66 17B80 81R10 81R12 81T40 22E70 14D21 32G15 14J80 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Current algebras on Riemann surfaces. New results and applications. Berlin: de Gruyter (2012; Zbl 1258.81002) Full Text: DOI
Verchota, Gregory C. Agmon coerciveness and the analysis of operators with formally positive integro-differential forms. (English) Zbl 1252.47041 Commun. Partial Differ. Equations 37, No. 1-3, 285-297 (2012). Reviewer: Lubomira Softova (Aversa) MSC: 47F05 47A07 35J35 11E25 PDFBibTeX XMLCite \textit{G. C. Verchota}, Commun. Partial Differ. Equations 37, No. 1--3, 285--297 (2012; Zbl 1252.47041) Full Text: DOI
Tığlay, F. The periodic Cauchy problem for Novikov’s equation. (English) Zbl 1235.35011 Int. Math. Res. Not. 2011, No. 20, 4633-4648 (2011). Reviewer: Cornelia Vizman (Timişoara) MSC: 35A10 35C05 35Q53 PDFBibTeX XMLCite \textit{F. Tığlay}, Int. Math. Res. Not. 2011, No. 20, 4633--4648 (2011; Zbl 1235.35011) Full Text: DOI arXiv
Sheinman, O. K. 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). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 17B66 17B67 14H10 14H15 14H55 30F30 81R10 81T40 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Russ. Math. Surv. 66, No. 1, 145--171 (2011; Zbl 1246.17029); translation from Usp. Mat. Nauk. 66, No. 1, 151--178 (2011) Full Text: DOI arXiv
Brandt, Howard E. 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). MSC: 81P68 22E70 53Z05 68Q12 81R05 PDFBibTeX XMLCite \textit{H. E. Brandt}, Contemp. Math. 536, 49--74 (2011; Zbl 1218.81031)
Davini, Andrea; Siconolfi, Antonio Metric techniques for convex stationary ergodic Hamiltonians. (English) Zbl 1213.49036 Calc. Var. Partial Differ. Equ. 40, No. 3-4, 391-421 (2011). MSC: 49L25 35D40 35C99 93E20 PDFBibTeX XMLCite \textit{A. Davini} and \textit{A. Siconolfi}, Calc. Var. Partial Differ. Equ. 40, No. 3--4, 391--421 (2011; Zbl 1213.49036) Full Text: DOI
Doschoris, Michael Harmonic functions in rectangular domains. Classical solutions revisited. (English) Zbl 1226.30038 Int. J. Math. Anal., Ruse 4, No. 45-48, 2261-2285 (2010). MSC: 30E25 35C15 35J05 35Q15 PDFBibTeX XMLCite \textit{M. Doschoris}, Int. J. Math. Anal., Ruse 4, No. 45--48, 2261--2285 (2010; Zbl 1226.30038) Full Text: Link
Brandt, Howard E. Quantum computational Jacobi fields. (English) Zbl 1240.53026 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 26, No. 2, 247-264 (2010). MSC: 53B20 53B50 22E60 22E70 53C22 22D10 43A75 51N30 81R05 PDFBibTeX XMLCite \textit{H. E. Brandt}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 26, No. 2, 247--264 (2010; Zbl 1240.53026)
Paal, Eugen; Virkepu, Jüri Quantum counterparts of \(\mathrm{VII}_\alpha\), \(\mathrm{VII}_{\alpha =1}\), \(\mathrm{VII}_{\alpha \neq 1}\) over the harmonic oscillator in semiclassical approximation. (English) Zbl 1206.81042 Proc. Est. Acad. Sci. 59, No. 4, 347-354 (2010). MSC: 81Q20 70H03 70H05 70H20 22E70 PDFBibTeX XMLCite \textit{E. Paal} and \textit{J. Virkepu}, Proc. Est. Acad. Sci. 59, No. 4, 347--354 (2010; Zbl 1206.81042) Full Text: DOI arXiv
Butler, Leo T. Positive-entropy integrable systems and the Toda lattice. II. (English) Zbl 1206.37032 Math. Proc. Camb. Philos. Soc. 149, No. 3, 491-538 (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 37K10 37K60 37L60 PDFBibTeX XMLCite \textit{L. T. Butler}, Math. Proc. Camb. Philos. Soc. 149, No. 3, 491--538 (2010; Zbl 1206.37032) Full Text: DOI arXiv
Popowicz, Ziemowit; Prykarpatsky, Anatoliy K. The non-polynomial conservation laws and integrability analysis of generalized Riemann type hydrodynamical equations. (English) Zbl 1202.35127 Nonlinearity 23, No. 10, 2517-2537 (2010). MSC: 35L65 35C05 37K10 PDFBibTeX XMLCite \textit{Z. Popowicz} and \textit{A. K. Prykarpatsky}, Nonlinearity 23, No. 10, 2517--2537 (2010; Zbl 1202.35127) Full Text: DOI arXiv
Novikov, Vladimir Generalizations of the Camassa-Holm equation. (English) Zbl 1181.37100 J. Phys. A, Math. Theor. 42, No. 34, Article ID 342002, 14 p. (2009). Reviewer: Rakib Efendiev (Baku) MSC: 37K10 37K15 37K35 PDFBibTeX XMLCite \textit{V. Novikov}, J. Phys. A, Math. Theor. 42, No. 34, Article ID 342002, 14 p. (2009; Zbl 1181.37100) Full Text: DOI arXiv
Zhi, Hong-Yan Symmetry reductions of a Lax pair for (2+1)-dimensional differential Sawada-Kotera equation. (English) Zbl 1173.35659 Commun. Theor. Phys. 51, No. 5, 777-780 (2009). MSC: 35Q53 22E70 PDFBibTeX XMLCite \textit{H.-Y. Zhi}, Commun. Theor. Phys. 51, No. 5, 777--780 (2009; Zbl 1173.35659) Full Text: DOI
Schlichenmaier, M.; Sheinman, O. K. 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). Reviewer: Nicolás Andruskiewitsch (Cordoba) MSC: 17B65 17B80 14H70 81R10 PDFBibTeX XMLCite \textit{M. Schlichenmaier} and \textit{O. K. Sheinman}, Russ. Math. Surv. 63, No. 4, 727--766 (2008; Zbl 1204.17016); translation from Usp. Mat. Nauk 63, No. 4, 131--172 (2008) Full Text: DOI arXiv
Paal, Eugen; Virkepu, Jüri Note on 2d binary operadic harmonic oscillator. (English) Zbl 1156.18304 J. Gen. Lie Theory Appl. 2, No. 3, 221-225 (2008). MSC: 18D50 37J35 81R05 70G60 PDFBibTeX XMLCite \textit{E. Paal} and \textit{J. Virkepu}, J. Gen. Lie Theory Appl. 2, No. 3, 221--225 (2008; Zbl 1156.18304) Full Text: DOI arXiv Link
Steeb, Willi-Hans Continuous symmetries, Lie algebras, differential equations, and computer algebra. 2nd ed. (English) Zbl 1159.35001 Singapore: World Scientific (ISBN 978-981-270-809-0/hbk). xiv, 457 p. (2007). Reviewer: Werner M. Seiler (Kassel) MSC: 35-01 22E60 22E70 35A30 35Q51 37K05 37K10 37K35 68W30 58J70 PDFBibTeX XMLCite \textit{W.-H. Steeb}, Continuous symmetries, Lie algebras, differential equations, and computer algebra. 2nd ed. Singapore: World Scientific (2007; Zbl 1159.35001)
Fokas, A. S. 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). Reviewer: Zhang Wanguo (Shanghai) MSC: 35P25 35Q53 35C15 35A08 42B10 PDFBibTeX XMLCite \textit{A. S. Fokas}, Proc. Symp. Appl. Math. 65, 87--117 (2007; Zbl 1142.35061)
Deng, Shu-Fang The multisoliton solutions for the mKPI equation with self-consistent sources. (English) Zbl 1106.35077 J. Phys. A, Math. Gen. 39, No. 48, 14929-14945 (2006). MSC: 35Q53 35Q51 37K10 PDFBibTeX XMLCite \textit{S.-F. Deng}, J. Phys. A, Math. Gen. 39, No. 48, 14929--14945 (2006; Zbl 1106.35077) Full Text: DOI
Dimakis, Aristophanes; Müller-Hoissen, Folkert From AKNS to derivative NLS hierarchies via deformations of associative products. (English) Zbl 1105.37040 J. Phys. A, Math. Gen. 39, No. 45, 14015-14033 (2006). MSC: 37K10 35Q55 81R12 PDFBibTeX XMLCite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, J. Phys. A, Math. Gen. 39, No. 45, 14015--14033 (2006; Zbl 1105.37040) Full Text: DOI arXiv
Sakovich, Sergei Enlarged spectral problems and nonintegrability. (English) Zbl 1345.37074 Phys. Lett., A 345, No. 1-3, 63-68 (2005). MSC: 37K10 37K15 PDFBibTeX XMLCite \textit{S. Sakovich}, Phys. Lett., A 345, No. 1--3, 63--68 (2005; Zbl 1345.37074) Full Text: DOI arXiv
Briani, Ariela; Davini, Andrea Monge solutions for discontinuous Hamiltonians. (English) Zbl 1087.35023 ESAIM, Control Optim. Calc. Var. 11, 229-251 (2005). Reviewer: Vasile Iftode (Bucureşti) MSC: 35F30 35B05 35B50 35C15 49L25 PDFBibTeX XMLCite \textit{A. Briani} and \textit{A. Davini}, ESAIM, Control Optim. Calc. Var. 11, 229--251 (2005; Zbl 1087.35023) Full Text: DOI Numdam EuDML
Szablikowski, Błazej M.; Błaszak, Maciej On deformations of standard \(R\)-matrices for integrable infinite-dimensional systems. (English) Zbl 1067.37102 J. Math. Phys. 46, No. 4, 042702, 12 p. (2005). MSC: 37K10 81R12 PDFBibTeX XMLCite \textit{B. M. Szablikowski} and \textit{M. Błaszak}, J. Math. Phys. 46, No. 4, 042702, 12 p. (2005; Zbl 1067.37102) Full Text: DOI arXiv
Staffans, Olof Johan Well-posed linear systems. (English) Zbl 1057.93001 Encyclopedia of Mathematics and Its Applications 103. Cambridge: Cambridge University Press (ISBN 0-521-82584-9/hbk). xviii, 776 p. (2005). Reviewer: A. Akutowicz (Berlin) MSC: 93-02 93C25 93B15 93B28 93B20 93D15 47D06 47B38 47D60 PDFBibTeX XMLCite \textit{O. J. Staffans}, Well-posed linear systems. Cambridge: Cambridge University Press (2005; Zbl 1057.93001)
Das, Ashok; Popowicz, Ziemowit SUSY generalized Harry Dym equation and its bosonic reduction. (English) Zbl 1465.37075 Czech. J. Phys. 54, No. 11, 1209-1214 (2004). MSC: 37K10 35Q53 81R12 PDFBibTeX XMLCite \textit{A. Das} and \textit{Z. Popowicz}, Czech. J. Phys. 54, No. 11, 1209--1214 (2004; Zbl 1465.37075) Full Text: DOI
Efimovskaya, O. V.; Sokolov, V. V. 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). Reviewer: Alexander E. Guterman (Moskva) MSC: 37K10 37K30 17B80 35A30 PDFBibTeX XMLCite \textit{O. V. Efimovskaya} and \textit{V. V. Sokolov}, Fundam. Prikl. Mat. 10, No. 1, 39--47 (2004; Zbl 1080.37071); translation in J. Math. Sci., New York 136, No. 6, 4385--4391 (2006)
Błaszak, Maciej; Szablikowski, Błażej M. From dispersionless to soliton systems via Weyl-Moyal-like deformations. (English) Zbl 1053.81050 J. Phys. A, Math. Gen. 36, No. 49, 12181-12203 (2003). Reviewer: Stefan Berceanu (Bucureşti) MSC: 81S10 53D55 37K10 35Q51 22E70 53D17 PDFBibTeX XMLCite \textit{M. Błaszak} and \textit{B. M. Szablikowski}, J. Phys. A, Math. Gen. 36, No. 49, 12181--12203 (2003; Zbl 1053.81050) Full Text: DOI arXiv
Babelon, Olivier; Bernard, Denis; Talon, Michel 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). Reviewer: Xianguo Geng (Zhengzhou) MSC: 37J35 37K10 35Q53 70H06 37-02 PDFBibTeX XMLCite \textit{O. Babelon} et al., Introduction to classical integrable systems. Cambridge: Cambridge University Press (2003; Zbl 1045.37033) Full Text: DOI
Semenov-Tian-Shansky, M. A. 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). MSC: 37K15 17B80 37-01 14H70 47A58 PDFBibTeX XMLCite \textit{M. A. Semenov-Tian-Shansky}, in: Factorization and integrable systems. Lecture notes of the summer school, Faro, Portugal, September 2000. Basel: Birkhäuser. 155--218 (2003; Zbl 1030.37048) Full Text: arXiv
Hamanaka, Masashi; Toda, Kouichi Towards noncommutative integrable systems. (English) Zbl 1031.37046 Phys. Lett., A 316, No. 1-2, 77-83 (2003). MSC: 37J35 81T75 81T13 PDFBibTeX XMLCite \textit{M. Hamanaka} and \textit{K. Toda}, Phys. Lett., A 316, No. 1--2, 77--83 (2003; Zbl 1031.37046) Full Text: DOI arXiv
Zhu, Zuonong; Tam, Honwah; Ding, Qing Infinitely many conservation laws for two integrable lattice hierarchies associated with a new discrete Schrödinger spectral problem. (English) Zbl 1020.37045 Phys. Lett., A 310, No. 4, 281-294 (2003). MSC: 37K10 81Q05 35P05 81Q10 PDFBibTeX XMLCite \textit{Z. Zhu} et al., Phys. Lett., A 310, No. 4, 281--294 (2003; Zbl 1020.37045) Full Text: DOI
Ghose Choudhury, A.; Roy Chowdhury, A. 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 PDFBibTeX XMLCite \textit{A. Ghose Choudhury} and \textit{A. Roy Chowdhury}, in: 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. 125--136 (2002; Zbl 1054.37046)
Li, Luen-Chau; Xu, Ping A class of integrable spin Calogero-Moser systems. (English) Zbl 1012.37034 Commun. Math. Phys. 231, No. 2, 257-286 (2002). MSC: 37J35 70G65 70H06 81R12 81V70 PDFBibTeX XMLCite \textit{L.-C. Li} and \textit{P. Xu}, Commun. Math. Phys. 231, No. 2, 257--286 (2002; Zbl 1012.37034) Full Text: DOI arXiv
Casian, Luis; Kodama, Yuji 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). Reviewer: Jan Chrastina (Brno) MSC: 37K10 22E46 PDFBibTeX XMLCite \textit{L. Casian} and \textit{Y. Kodama}, Contemp. Math. 301, 283--310 (2002; Zbl 1018.37043) Full Text: arXiv
Forger, Michael; Winterhalder, Axel Dynamical R-matrices for Calogero models. (English) Zbl 0988.81045 Nucl. Phys., B 621, No. 3, 523-570 (2002). MSC: 81R10 81R12 PDFBibTeX XMLCite \textit{M. Forger} and \textit{A. Winterhalder}, Nucl. Phys., B 621, No. 3, 523--570 (2002; Zbl 0988.81045) Full Text: DOI
Shi, Qi-Yan Finite-dimensional integrable systems related to the \(n\)-wave interaction equations. (English) Zbl 1005.37040 J. Math. Phys. 42, No. 8, 3554-3564 (2001). MSC: 37K10 37J35 PDFBibTeX XMLCite \textit{Q.-Y. Shi}, J. Math. Phys. 42, No. 8, 3554--3564 (2001; Zbl 1005.37040) Full Text: DOI
Hlavatý, L.; Šnobl, L. Principal chiral models on non-semisimple groups. (English) Zbl 0989.81043 J. Phys. A, Math. Gen. 34, No. 38, 7795-7809 (2001). Reviewer: Alexander V.Gemintern (Haifa) MSC: 81R12 22E70 PDFBibTeX XMLCite \textit{L. Hlavatý} and \textit{L. Šnobl}, J. Phys. A, Math. Gen. 34, No. 38, 7795--7809 (2001; Zbl 0989.81043) Full Text: DOI
Chen, Kai; Hou, Bo-yu The \(D_n\) Ruijsenaars-Schneider model. (English) Zbl 0991.37046 J. Phys. A, Math. Gen. 34, No. 37, 7579-7589 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K30 17B80 81R10 81R12 PDFBibTeX XMLCite \textit{K. Chen} and \textit{B.-y. Hou}, J. Phys. A, Math. Gen. 34, No. 37, 7579--7589 (2001; Zbl 0991.37046) Full Text: DOI arXiv
Suris, Yuri B. Integrable discretizations of some cases of the rigid body dynamics. (English) Zbl 0991.35090 J. Nonlinear Math. Phys. 8, No. 4, 534-560 (2001). MSC: 35Q58 70E40 70H06 PDFBibTeX XMLCite \textit{Y. B. Suris}, J. Nonlinear Math. Phys. 8, No. 4, 534--560 (2001; Zbl 0991.35090) Full Text: DOI arXiv
Fokas, A. S. Two-dimensional linear partial differential equations in a convex polygon. (English) Zbl 0988.35129 Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2006, 371-393 (2001). Reviewer: Vladimir Mityushev (Paris) MSC: 35Q15 35C15 35J05 PDFBibTeX XMLCite \textit{A. S. Fokas}, Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 457, No. 2006, 371--393 (2001; Zbl 0988.35129) Full Text: DOI
Przybylska, Maria A generalization of the Lax equation. (English) Zbl 1001.37065 J. Geom. Phys. 38, No. 3-4, 217-252 (2001). Reviewer: Jan Chrastina (Brno) MSC: 37K10 35Q53 37J35 22E70 37K30 35K30 PDFBibTeX XMLCite \textit{M. Przybylska}, J. Geom. Phys. 38, No. 3--4, 217--252 (2001; Zbl 1001.37065) Full Text: DOI
Balandin, A. V.; Pakhareva, O. N.; Potyomin, G. V. Lax representation of the chiral-type field equations. (English) Zbl 1009.70030 Phys. Lett., A 283, No. 3-4, 168-176 (2001). MSC: 70S10 22E70 PDFBibTeX XMLCite \textit{A. V. Balandin} et al., Phys. Lett., A 283, No. 3--4, 168--176 (2001; Zbl 1009.70030) Full Text: DOI
Prykarpatsky, Ya. A.; Prytula, M. M.; Hentosh, O. E. Finite-dimensional reductions of generalized dynamical Burgers system and their intensities. (Ukrainian) Zbl 0987.35136 Nelinijni Kolyvannya 3, No. 1, 95-102 (2000). Reviewer: V.V.Vlasov (Moskva) MSC: 35Q53 37K05 PDFBibTeX XMLCite \textit{Ya. A. Prykarpatsky} et al., Neliniĭni Kolyvannya 3, No. 1, 95--102 (2000; Zbl 0987.35136)
Barron, E. N.; Cardaliaguet, P.; Jensen, R. R. Radon-Nikodym theorem in \(L^\infty\). (English) Zbl 0984.28002 Appl. Math. Optimization 42, No. 2, 103-126 (2000). Reviewer: Ştefan Mirică (Bucureşti) MSC: 28A20 28A10 49L20 28A25 35C15 PDFBibTeX XMLCite \textit{E. N. Barron} et al., Appl. Math. Optim. 42, No. 2, 103--126 (2000; Zbl 0984.28002) Full Text: DOI
Morozov, A. Integrability in Seiberg-Witten theory. (English) Zbl 0992.81069 Braden, H. W. (ed.) et al., Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 93-102 (2000). MSC: 81T30 81R12 81T13 PDFBibTeX XMLCite \textit{A. Morozov}, in: Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 93--102 (2000; Zbl 0992.81069)
Marshakov, A. 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). Reviewer: Messoud Efendiev (Berlin) MSC: 37K20 14H70 81R12 81T13 81T60 PDFBibTeX XMLCite \textit{A. Marshakov}, in: Integrability: The Seiberg-Witten and Whitham equations. Amsterdam: Gordon and Breach Science Publishers. 69--91 (2000; Zbl 0988.37089) Full Text: arXiv
Frolova, N. A. 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). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 47J35 PDFBibTeX XMLCite \textit{N. A. Frolova}, in: Симметрия и дифференциальные уравнения. 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; Zbl 0967.47041)
Malykh, A. A.; Sheftel’, M. B. 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). Reviewer: Boris V.Loginov (Ul’yanovsk) MSC: 35J60 35L70 35C99 PDFBibTeX XMLCite \textit{A. A. Malykh} and \textit{M. B. Sheftel'}, in: Симметрия и дифференциальные уравнения. 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; Zbl 0968.35046)
Fedorov, Yu. N. Integrable systems, Poisson pencils, and hyperelliptic Lax pairs. (English) Zbl 0955.22007 Regul. Chaotic Dyn. 5, No. 2, 171-180 (2000). Reviewer: A.E.Mironov (Novosibirsk) MSC: 22D20 70E15 PDFBibTeX XMLCite \textit{Yu. N. Fedorov}, Regul. Chaotic Dyn. 5, No. 2, 171--180 (2000; Zbl 0955.22007) Full Text: DOI
Chakrabarti, A.; Chakrabarti, R. The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf \(U_{h;y}(\text{sl}(2))\) algebra. (English) Zbl 1004.81022 J. Phys. A, Math. Gen. 33, No. 25, 4611-4617 (2000). MSC: 81R50 81R10 17B37 PDFBibTeX XMLCite \textit{A. Chakrabarti} and \textit{R. Chakrabarti}, J. Phys. A, Math. Gen. 33, No. 25, 4611--4617 (2000; Zbl 1004.81022) Full Text: DOI arXiv
Damianou, P. A. Multiple Hamiltonian structures for Toda systems of type \(A\)-\(B\)-\(C\). (English) Zbl 0947.37050 Regul. Chaotic Dyn. 5, No. 1, 17-32 (2000). Reviewer: A.E.Mironov (Novosibirsk) MSC: 37K10 37J05 37K05 PDFBibTeX XMLCite \textit{P. A. Damianou}, Regul. Chaotic Dyn. 5, No. 1, 17--32 (2000; Zbl 0947.37050)
Sirendaoerji Integrable constrained flows for the Dirac hierarchy from the adjoint coordinates. (Chinese. English summary) Zbl 1014.37046 Acta Math. Sin. 42, No. 5, 845-852 (1999). MSC: 37K10 35Q58 PDFBibTeX XMLCite \textit{Sirendaoerji}, Acta Math. Sin. 42, No. 5, 845--852 (1999; Zbl 1014.37046)
Prykarpatsky, A.; Blackmore, D.; Bogoliubov, N. N. jun. Hamiltonian structure of Benney type hydrodynamic and Boltzmann-Vlasov kinetic equations on an axis and some applications to manufacturing science. (English) Zbl 1014.37042 Open Syst. Inf. Dyn. 6, No. 4, 335-373 (1999). MSC: 37K05 37N10 82C40 PDFBibTeX XMLCite \textit{A. Prykarpatsky} et al., Open Syst. Inf. Dyn. 6, No. 4, 335--373 (1999; Zbl 1014.37042) Full Text: DOI
Gavrilov, L.; Perelomov, A. M. On the explicit solutions of the elliptic Calogero system. (English) Zbl 0952.37017 J. Math. Phys. 40, No. 12, 6339-6352 (1999). Reviewer: Samir Musayev (Baku) MSC: 37J35 14H70 PDFBibTeX XMLCite \textit{L. Gavrilov} and \textit{A. M. Perelomov}, J. Math. Phys. 40, No. 12, 6339--6352 (1999; Zbl 0952.37017) Full Text: DOI arXiv
Delduc, F.; Gallot, L.; Sorin, A. \(N=2\) local and \(N=4\) non-local reductions of supersymmetric KP hierarchy in \(N=2\) superspace. (English) Zbl 0947.37047 Nucl. Phys., B 558, No. 3, 545-572 (1999). MSC: 37K10 81R99 PDFBibTeX XMLCite \textit{F. Delduc} et al., Nucl. Phys., B 558, No. 3, 545--572 (1999; Zbl 0947.37047) Full Text: DOI arXiv
Bernard, D.; Julia, B. Twisted self-duality of dimensionally reduced gravity and vertex operators. (English) Zbl 0944.83011 Nucl. Phys., B 547, No. 3, 427-470 (1999). MSC: 83C20 22E65 81R10 PDFBibTeX XMLCite \textit{D. Bernard} and \textit{B. Julia}, Nucl. Phys., B 547, No. 3, 427--470 (1999; Zbl 0944.83011) Full Text: DOI arXiv
Tsiganov, A. V. Automorphisms of \(\text{sl}(2)\) and classical integrable systems. (English) Zbl 0985.37069 Phys. Lett., A 251, No. 6, 354-362 (1999). MSC: 37K10 17B80 37K30 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Phys. Lett., A 251, No. 6, 354--362 (1999; Zbl 0985.37069) Full Text: DOI
Bobenko, A. I.; Suris, Yu. B. Discrete time Lagrangian mechanics on Lie groups, with an application to the Lagrange top. (English) Zbl 0945.70010 Commun. Math. Phys. 204, No. 1, 147-188 (1999). MSC: 70G65 70E05 70H03 PDFBibTeX XMLCite \textit{A. I. Bobenko} and \textit{Yu. B. Suris}, Commun. Math. Phys. 204, No. 1, 147--188 (1999; Zbl 0945.70010) Full Text: DOI arXiv
Geng, Xianguo; Wu, Yongtang Finite-band solutions of the classical Boussinesq-Burgers equations. (English) Zbl 0944.35085 J. Math. Phys. 40, No. 6, 2971-2982 (1999). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{X. Geng} and \textit{Y. Wu}, J. Math. Phys. 40, No. 6, 2971--2982 (1999; Zbl 0944.35085) Full Text: DOI
Bressloff, P. C.; Fokas, A. S. 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). Reviewer: Alexey Alimov (Moskva) MSC: 35C15 35K05 PDFBibTeX XMLCite \textit{P. C. Bressloff} and \textit{A. S. Fokas}, Lond. Math. Soc. Lect. Note Ser. 255, 178--194 (1999; Zbl 0932.35033)