Abenda, Simonetta; Grinevich, Petr G. Real regular KP divisors on \({\texttt{M}}\)-curves and totally non-negative Grassmannians. (English) Zbl 07621081 Lett. Math. Phys. 112, No. 6, Paper No. 115, 64 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K20 37K25 37K40 14H50 14H70 PDF BibTeX XML Cite \textit{S. Abenda} and \textit{P. G. Grinevich}, Lett. Math. Phys. 112, No. 6, Paper No. 115, 64 p. (2022; Zbl 07621081) Full Text: DOI arXiv OpenURL
He, Guoliang; Zhai, Yunyun; Zheng, Zhenzhen Algebro-geometric integration of a modified shallow wave hierarchy. (English) Zbl 07565157 Int. J. Nonlinear Sci. Numer. Simul. 23, No. 3-4, 401-417 (2022). MSC: 37K40 37K20 14H42 PDF BibTeX XML Cite \textit{G. He} et al., Int. J. Nonlinear Sci. Numer. Simul. 23, No. 3--4, 401--417 (2022; Zbl 07565157) Full Text: DOI OpenURL
Tsiganov, Andrey V. Reduction of divisors and the Clebsch system. (English) Zbl 1490.37081 Regul. Chaotic Dyn. 27, No. 3, 307-319 (2022). MSC: 37J35 70E15 14H70 14D06 58K10 58K50 70E05 PDF BibTeX XML Cite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 27, No. 3, 307--319 (2022; Zbl 1490.37081) Full Text: DOI arXiv OpenURL
Yue, Chao; Xia, Tiecheng Algebro-geometric solutions of the coupled Chaffee-Infante reaction diffusion hierarchy. (English) Zbl 1483.37087 Adv. Math. Phys. 2021, Article ID 6618932, 21 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K10 14H70 35K57 PDF BibTeX XML Cite \textit{C. Yue} and \textit{T. Xia}, Adv. Math. Phys. 2021, Article ID 6618932, 21 p. (2021; Zbl 1483.37087) Full Text: DOI OpenURL
Lu, Jiaping; Wu, Chao-Zhong Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy. (English) Zbl 1487.37086 Math. Phys. Anal. Geom. 24, No. 3, Paper No. 27, 23 p. (2021). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K10 37K30 37K06 PDF BibTeX XML Cite \textit{J. Lu} and \textit{C.-Z. Wu}, Math. Phys. Anal. Geom. 24, No. 3, Paper No. 27, 23 p. (2021; Zbl 1487.37086) Full Text: DOI arXiv OpenURL
Li, Qian Algebro-geometric solutions of the generalized Burgers hierarchy associated with a \(3\times 3\) matrix spectral problem based on Riemann surface. (English) Zbl 1489.37082 Chaos Solitons Fractals 130, Article ID 109409, 18 p. (2020). MSC: 37K10 37K20 PDF BibTeX XML Cite \textit{Q. Li}, Chaos Solitons Fractals 130, Article ID 109409, 18 p. (2020; Zbl 1489.37082) Full Text: DOI OpenURL
Zhao, Peng; Fan, Engui Finite gap integration of the derivative nonlinear Schrödinger equation: a Riemann-Hilbert method. (English) Zbl 1453.35161 Physica D 402, Article ID 132213, 31 p. (2020). MSC: 35Q55 37K40 37K20 PDF BibTeX XML Cite \textit{P. Zhao} and \textit{E. Fan}, Physica D 402, Article ID 132213, 31 p. (2020; Zbl 1453.35161) Full Text: DOI OpenURL
Geng, Xianguo; Wei, Jiao; Zeng, Xin Algebro-geometric integration of the modified Belov-Chaltikian lattice hierarchy. (English. Russian original) Zbl 1429.37041 Theor. Math. Phys. 199, No. 2, 675-694 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 235-256 (2019). MSC: 37K20 37K10 14H70 PDF BibTeX XML Cite \textit{X. Geng} et al., Theor. Math. Phys. 199, No. 2, 675--694 (2019; Zbl 1429.37041); translation from Teor. Mat. Fiz. 199, No. 2, 235--256 (2019) Full Text: DOI OpenURL
Il’ina, A. V.; Krichever, I. M.; Nekrasov, N. A. Two-dimensional periodic Schrödinger operators integrable at an energy eigenlevel. (English. Russian original) Zbl 1427.35161 Funct. Anal. Appl. 53, No. 1, 23-36 (2019); translation from Funkts. Anal. Prilozh. 53, No. 1, 31-48 (2019). MSC: 35P05 35J10 35G20 PDF BibTeX XML Cite \textit{A. V. Il'ina} et al., Funct. Anal. Appl. 53, No. 1, 23--36 (2019; Zbl 1427.35161); translation from Funkts. Anal. Prilozh. 53, No. 1, 31--48 (2019) Full Text: DOI arXiv OpenURL
Li, Chuanzhong; Li, Xinyue; Li, Fushan Quantum torus Lie algebra in the \(q\)-deformed Kadomtsev-Petviashvili system. (English) Zbl 1436.37085 Algebra Colloq. 26, No. 4, 579-588 (2019). MSC: 37K30 37K10 37K20 37K06 PDF BibTeX XML Cite \textit{C. Li} et al., Algebra Colloq. 26, No. 4, 579--588 (2019; Zbl 1436.37085) Full Text: DOI OpenURL
Zhao, Peng; Fan, Engui On quasiperiodic solutions of the modified Kadomtsev-Petviashvili hierarchy. (English) Zbl 1423.35018 Appl. Math. Lett. 97, 27-33 (2019). MSC: 35B15 35K57 PDF BibTeX XML Cite \textit{P. Zhao} and \textit{E. Fan}, Appl. Math. Lett. 97, 27--33 (2019; Zbl 1423.35018) Full Text: DOI OpenURL
Abenda, Simonetta; Grinevich, Petr G. Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. (English) Zbl 1426.37052 Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 37K20 37K40 14H50 14H70 35C08 35Q51 14M15 51M35 55S45 37K10 PDF BibTeX XML Cite \textit{S. Abenda} and \textit{P. G. Grinevich}, Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019; Zbl 1426.37052) Full Text: DOI arXiv OpenURL
Geng, Xianguo; He, Guoliang; Wu, Lihua Riemann theta function solutions of the Caudrey-Dodd-Gibbon-Sawada-Kotera hierarchy. (English) Zbl 1415.37089 J. Geom. Phys. 140, 85-103 (2019). MSC: 37K10 37K20 14H70 14H42 PDF BibTeX XML Cite \textit{X. Geng} et al., J. Geom. Phys. 140, 85--103 (2019; Zbl 1415.37089) Full Text: DOI OpenURL
Eichinger, B.; Vandenboom, T.; Yuditskii, P. KdV hierarchy via abelian coverings and operator identities. (English) Zbl 1408.37115 Trans. Am. Math. Soc., Ser. B 6, 1-44 (2019). MSC: 37K10 37K15 37K20 35Q53 34L40 PDF BibTeX XML Cite \textit{B. Eichinger} et al., Trans. Am. Math. Soc., Ser. B 6, 1--44 (2019; Zbl 1408.37115) Full Text: DOI arXiv OpenURL
Wei, Jiao; Geng, Xianguo; Zeng, Xin The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices. (English) Zbl 1403.37078 Trans. Am. Math. Soc. 371, No. 2, 1483-1507 (2019). MSC: 37K10 37K20 14H42 37K40 14H70 PDF BibTeX XML Cite \textit{J. Wei} et al., Trans. Am. Math. Soc. 371, No. 2, 1483--1507 (2019; Zbl 1403.37078) Full Text: DOI OpenURL
Geng, Xianguo; Zhai, Yunyun; Xue, Bo; Wei, Jiao A hierarchy of long wave-short wave type equations: quasi-periodic behavior of solutions and their representation. (English) Zbl 1417.37252 J. Nonlinear Math. Phys. 26, No. 1, 1-23 (2019). MSC: 37K40 37K20 14H42 PDF BibTeX XML Cite \textit{X. Geng} et al., J. Nonlinear Math. Phys. 26, No. 1, 1--23 (2019; Zbl 1417.37252) Full Text: DOI OpenURL
Kotlyarov, Vladimir P. A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions. (English) Zbl 1406.35381 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 082, 27 p. (2018). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q60 34L25 34M50 35F31 35Q15 35Q51 78A60 PDF BibTeX XML Cite \textit{V. P. Kotlyarov}, SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 082, 27 p. (2018; Zbl 1406.35381) Full Text: DOI arXiv OpenURL
Ma, Wen-Xiu Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. (English) Zbl 1404.35393 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2203, Article ID 20170233, 20 p. (2017). MSC: 35Q53 35C08 35Q51 37K10 14H70 14H42 PDF BibTeX XML Cite \textit{W.-X. Ma}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2203, Article ID 20170233, 20 p. (2017; Zbl 1404.35393) Full Text: DOI OpenURL
Ma, Wen-Xiu Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. (English) Zbl 1404.35392 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2203, Article ID 20170232, 20 p. (2017). MSC: 35Q53 35C08 35Q51 37K10 14H70 14H42 PDF BibTeX XML Cite \textit{W.-X. Ma}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2203, Article ID 20170232, 20 p. (2017; Zbl 1404.35392) Full Text: DOI arXiv OpenURL
He, G. L.; Geng, X. G.; Wu, L. H. The trigonal curve and the integration of the Hirota-Satsuma hierarchy. (English) Zbl 1387.35518 Math. Methods Appl. Sci. 40, No. 18, 6581-6601 (2017). MSC: 35Q51 37K10 14H70 35C99 PDF BibTeX XML Cite \textit{G. L. He} et al., Math. Methods Appl. Sci. 40, No. 18, 6581--6601 (2017; Zbl 1387.35518) Full Text: DOI OpenURL
Kotlyarov, Vladimir; Shepelsky, Dmitry Planar unimodular Baker-Akhiezer function for the nonlinear Schrödinger equation. (English) Zbl 1386.35379 Ann. Math. Sci. Appl. 2, No. 2, 343-384 (2017). MSC: 35Q55 37K10 30E20 30E25 35B10 35B15 PDF BibTeX XML Cite \textit{V. Kotlyarov} and \textit{D. Shepelsky}, Ann. Math. Sci. Appl. 2, No. 2, 343--384 (2017; Zbl 1386.35379) Full Text: DOI OpenURL
Zhai, Yunyun; Geng, Xianguo The coupled Sasa-Satsuma hierarchy: trigonal curve and finite genus solutions. (English) Zbl 1376.37113 Anal. Appl., Singap. 15, No. 5, 667-697 (2017). MSC: 37K20 37K40 14H42 37K10 14H70 PDF BibTeX XML Cite \textit{Y. Zhai} and \textit{X. Geng}, Anal. Appl., Singap. 15, No. 5, 667--697 (2017; Zbl 1376.37113) Full Text: DOI OpenURL
Ilina, A. V.; Krichever, I. M. Triangular reductions of the \(2D\) Toda hierarchy. (English. Russian original) Zbl 1370.37127 Funct. Anal. Appl. 51, No. 1, 48-65 (2017); translation from Funkts. Anal. Prilozh. 51, No. 1, 60-81 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 14H70 37K20 PDF BibTeX XML Cite \textit{A. V. Ilina} and \textit{I. M. Krichever}, Funct. Anal. Appl. 51, No. 1, 48--65 (2017; Zbl 1370.37127); translation from Funkts. Anal. Prilozh. 51, No. 1, 60--81 (2017) Full Text: DOI arXiv OpenURL
Hou, Yu; Fan, Engui; Qiao, Zhijun The algebro-geometric solutions for the Fokas-Olver-Rosenau-Qiao (FORQ) hierarchy. (English) Zbl 1386.14131 J. Geom. Phys. 117, 105-133 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 37K10 35Q51 35G25 PDF BibTeX XML Cite \textit{Y. Hou} et al., J. Geom. Phys. 117, 105--133 (2017; Zbl 1386.14131) Full Text: DOI arXiv OpenURL
Inoguchi, Jun-Ichi; Taniguchi, Tetsuya; Udagawa, Seiichi Finite gap solutions for horizontal minimal surfaces of finite type in 5-sphere. (English) Zbl 1400.37084 J. Integrable Syst. 1, Article ID xyw011, 34 p. (2016). MSC: 37K20 37K10 14H70 PDF BibTeX XML Cite \textit{J.-I. Inoguchi} et al., J. Integrable Syst. 1, Article ID xyw011, 34 p. (2016; Zbl 1400.37084) Full Text: DOI OpenURL
Shamaev, Èlley Ivanovich On discretization of parabolic coordinates. (Russian. English summary) Zbl 1370.52030 Sib. Èlektron. Mat. Izv. 13, 1159-1169 (2016). MSC: 52C05 PDF BibTeX XML Cite \textit{È. I. Shamaev}, Sib. Èlektron. Mat. Izv. 13, 1159--1169 (2016; Zbl 1370.52030) Full Text: DOI OpenURL
Treibich, A. Tangential polynomials and matrix KdV elliptic solitons. (English. Russian original) Zbl 1360.35231 Funct. Anal. Appl. 50, No. 4, 308-318 (2016); translation from Funkts. Anal. Prilozh. 50, No. 4, 76-90 (2016). MSC: 35Q53 30F99 PDF BibTeX XML Cite \textit{A. Treibich}, Funct. Anal. Appl. 50, No. 4, 308--318 (2016; Zbl 1360.35231); translation from Funkts. Anal. Prilozh. 50, No. 4, 76--90 (2016) Full Text: DOI OpenURL
Dragović, Vladimir; Gajić, Borislav Some recent generalizations of the classical rigid body systems. (English) Zbl 1378.70007 Arnold Math. J. 2, No. 4, 511-578 (2016). MSC: 70E40 70E17 70E45 70H06 14H70 PDF BibTeX XML Cite \textit{V. Dragović} and \textit{B. Gajić}, Arnold Math. J. 2, No. 4, 511--578 (2016; Zbl 1378.70007) Full Text: DOI OpenURL
Li, Zhu Finite-band solutions of the coupled dispersionless hierarchy. (English) Zbl 1353.37133 J. Phys. A, Math. Theor. 49, No. 34, Article ID 345202, 21 p. (2016). MSC: 37K10 37K15 37K20 35Q53 PDF BibTeX XML Cite \textit{Z. Li}, J. Phys. A, Math. Theor. 49, No. 34, Article ID 345202, 21 p. (2016; Zbl 1353.37133) Full Text: DOI OpenURL
Li, Chuanzhong; Cheng, Jipeng; Tian, Kelei; Li, Maohua; He, Jingsong Ghost symmetry of the discrete KP hierarchy. (English) Zbl 1343.37057 Monatsh. Math. 180, No. 4, 815-832 (2016). MSC: 37K05 37K10 37K20 PDF BibTeX XML Cite \textit{C. Li} et al., Monatsh. Math. 180, No. 4, 815--832 (2016; Zbl 1343.37057) Full Text: DOI arXiv OpenURL
Zhao, Peng; Fan, Engui; Luo, Lin Quasiperiodic solutions of the Kadomtsev-Petviashvili equation via the multidimensional Baker-Akhiezer function generated by the Broer-Kaup hierarchy. (English) Zbl 1360.37167 J. Math. Anal. Appl. 435, No. 1, 38-60 (2016). MSC: 37K10 37K20 PDF BibTeX XML Cite \textit{P. Zhao} et al., J. Math. Anal. Appl. 435, No. 1, 38--60 (2016; Zbl 1360.37167) Full Text: DOI OpenURL
Wang, Hui; Geng, Xianguo Algebro-geometric solutions to a new hierarchy of soliton equations. (English) Zbl 1339.37071 J. Math. Phys. Anal. Geom. 11, No. 4, 359-398 (2015). MSC: 37K40 37K20 14H42 PDF BibTeX XML Cite \textit{H. Wang} and \textit{X. Geng}, J. Math. Phys. Anal. Geom. 11, No. 4, 359--398 (2015; Zbl 1339.37071) Full Text: DOI Link OpenURL
Nazarov, Maxim; Sklyanin, Evgeny Lax operator for Macdonald symmetric functions. (English) Zbl 1316.05123 Lett. Math. Phys. 105, No. 7, 901-916 (2015). MSC: 05E05 33D52 37K10 81Q80 PDF BibTeX XML Cite \textit{M. Nazarov} and \textit{E. Sklyanin}, Lett. Math. Phys. 105, No. 7, 901--916 (2015; Zbl 1316.05123) Full Text: DOI arXiv Link OpenURL
Davletshina, V. N. Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations. (English. Russian original) Zbl 1318.37014 Math. Notes 97, No. 3, 333-340 (2015); translation from Mat. Zametki 97, No. 3, 350-358 (2015). MSC: 37K10 47E05 16S32 35Q53 16S80 37K40 PDF BibTeX XML Cite \textit{V. N. Davletshina}, Math. Notes 97, No. 3, 333--340 (2015; Zbl 1318.37014); translation from Mat. Zametki 97, No. 3, 350--358 (2015) Full Text: DOI OpenURL
Hou, Yu; Fan, Engui Algebro-geometric solutions for the two-component Hunter-Saxton hierarchy. (English) Zbl 1420.37065 J. Nonlinear Math. Phys. 21, No. 4, 473-508 (2014). MSC: 37K10 35Q53 53C35 PDF BibTeX XML Cite \textit{Y. Hou} and \textit{E. Fan}, J. Nonlinear Math. Phys. 21, No. 4, 473--508 (2014; Zbl 1420.37065) Full Text: DOI arXiv OpenURL
Antipov, Yuri A. The Baker-Akhiezer function and factorization of the Chebotarev-Khrapkov matrix. (English) Zbl 1302.30049 Lett. Math. Phys. 104, No. 11, 1365-1384 (2014). MSC: 30E25 30F99 PDF BibTeX XML Cite \textit{Y. A. Antipov}, Lett. Math. Phys. 104, No. 11, 1365--1384 (2014; Zbl 1302.30049) Full Text: DOI arXiv OpenURL
Geng, Xianguo; Zhai, Yunyun; Dai, H. H. Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy. (English) Zbl 1304.37046 Adv. Math. 263, 123-153 (2014). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 37K20 14H70 35Q53 PDF BibTeX XML Cite \textit{X. Geng} et al., Adv. Math. 263, 123--153 (2014; Zbl 1304.37046) Full Text: DOI OpenURL
Zhao, Peng; Fan, Engui; Hou, Yu Algebro-geometric solutions and their reductions for the Fokas-Lenells hierarchy. (English) Zbl 1420.37097 J. Nonlinear Math. Phys. 20, No. 3, 355-393 (2013). MSC: 37K10 35Q53 53C35 PDF BibTeX XML Cite \textit{P. Zhao} et al., J. Nonlinear Math. Phys. 20, No. 3, 355--393 (2013; Zbl 1420.37097) Full Text: DOI arXiv OpenURL
Gajić, Borislav The rigid body dynamics: classical and algebro-geometric integration. (English) Zbl 1313.70001 Dragović, Vladimir (ed.) et al., Mechanics, integrability and control. Beograd: Matematički Institut SANU (ISBN 978-86-80593-48-7). Zbornik Radova (Beograd) 16(24), 5-44 (2013). Reviewer: Božidar Jovanović (Beograd) MSC: 70-02 70E17 70E40 70E45 PDF BibTeX XML Cite \textit{B. Gajić}, Zb. Rad. (Beogr.) 16, 5--44 (2013; Zbl 1313.70001) Full Text: arXiv OpenURL
Hou, Yu; Zhao, Peng; Fan, Engui; Qiao, Zhijun Algebro-geometric solutions for the Degasperis-Procesi hierarchy. (English) Zbl 1291.35286 SIAM J. Math. Anal. 45, No. 3, 1216-1266 (2013). MSC: 35Q53 37K10 35Q51 PDF BibTeX XML Cite \textit{Y. Hou} et al., SIAM J. Math. Anal. 45, No. 3, 1216--1266 (2013; Zbl 1291.35286) Full Text: DOI OpenURL
Trogdon, Thomas; Deconinck, Bernard Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. (English) Zbl 1255.65177 Appl. Math. Lett. 26, No. 1, 5-9 (2013). MSC: 65M60 35Q53 PDF BibTeX XML Cite \textit{T. Trogdon} and \textit{B. Deconinck}, Appl. Math. Lett. 26, No. 1, 5--9 (2013; Zbl 1255.65177) Full Text: DOI OpenURL
Wu, Lihua; He, Guoliang; Geng, Xianguo Algebro-geometric solutions to the modified Sawada-Kotera hierarchy. (English) Zbl 1284.37053 J. Math. Phys. 53, No. 12, 123513, 23 p. (2012). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 37K10 35Q51 35C20 37F10 14H42 14H45 PDF BibTeX XML Cite \textit{L. Wu} et al., J. Math. Phys. 53, No. 12, 123513, 23 p. (2012; Zbl 1284.37053) Full Text: DOI OpenURL
Cao, Ce-Wen; Xu, Xiao-Xue A finite genus solution of the Veselov’s discrete Neumann system. (English) Zbl 1264.70041 Commun. Theor. Phys. 58, No. 4, 469-474 (2012). MSC: 70H03 70H06 PDF BibTeX XML Cite \textit{C.-W. Cao} and \textit{X.-X. Xu}, Commun. Theor. Phys. 58, No. 4, 469--474 (2012; Zbl 1264.70041) Full Text: DOI OpenURL
Buchstaber, V. M.; Bunkova, E. Yu. Krichever formal groups. (English. Russian original) Zbl 1271.55005 Funct. Anal. Appl. 45, No. 2, 99-116 (2011); translation from Funkts. Anal. Prilozh. 45, No. 2, 23-44 (2011). MSC: 55N22 PDF BibTeX XML Cite \textit{V. M. Buchstaber} and \textit{E. Yu. Bunkova}, Funct. Anal. Appl. 45, No. 2, 99--116 (2011; Zbl 1271.55005); translation from Funkts. Anal. Prilozh. 45, No. 2, 23--44 (2011) Full Text: DOI OpenURL
Muller, Greg 2D locus configurations and the trigonometric Calogero-Moser system. (English) Zbl 1272.70062 J. Nonlinear Math. Phys. 18, No. 3, 475-482 (2011). MSC: 70F10 PDF BibTeX XML Cite \textit{G. Muller}, J. Nonlinear Math. Phys. 18, No. 3, 475--482 (2011; Zbl 1272.70062) Full Text: DOI arXiv OpenURL
Berdinsky, D. A.; Rybnikov, I. P. On orthogonal curvilinear coordinate systems in constant curvature spaces. (English. Russian original) Zbl 1228.53019 Sib. Math. J. 52, No. 3, 394-401 (2011); translation from Sib. Mat. Zh. 52, No. 3, 502-511 (2011). MSC: 53B20 PDF BibTeX XML Cite \textit{D. A. Berdinsky} and \textit{I. P. Rybnikov}, Sib. Math. J. 52, No. 3, 394--401 (2011; Zbl 1228.53019); translation from Sib. Mat. Zh. 52, No. 3, 502--511 (2011) Full Text: DOI OpenURL
Cho, Koji; Mironov, Andrey E.; Nakayashiki, Atsushi Baker-Akhiezer modules on the intersections of shifted theta divisors. (English) Zbl 1225.14034 Publ. Res. Inst. Math. Sci. 47, No. 2, 553-567 (2011). Reviewer: V. V. Chueshev (Kemerovo) MSC: 14K25 14H70 14H20 14H42 30F10 32G81 PDF BibTeX XML Cite \textit{K. Cho} et al., Publ. Res. Inst. Math. Sci. 47, No. 2, 553--567 (2011; Zbl 1225.14034) Full Text: DOI arXiv OpenURL
Rybnikov, I. P. Minimal Lagrangian submanifolds in \(\mathbb{CP}^n\) with diagonal metric. (English. Russian original) Zbl 1232.53068 Sib. Math. J. 52, No. 1, 105-112 (2011); translation from Sib. Mat. Zh. 52, No. 1, 133-142 (2011). Reviewer: Udo Hertrich-Jeromin (Bath) MSC: 53D12 53C42 PDF BibTeX XML Cite \textit{I. P. Rybnikov}, Sib. Math. J. 52, No. 1, 105--112 (2011; Zbl 1232.53068); translation from Sib. Mat. Zh. 52, No. 1, 133--142 (2011) Full Text: DOI OpenURL
Rybnikov, I. P. Minimal Lagrangian submanifolds in \({\mathbb C}\operatorname{P}^n\) in terms of the Baker-Akhiezer spectral curves. (Russian) Zbl 1274.53114 Mat. Zamet. YAGU 17, No. 2, 98-108 (2010). MSC: 53D12 53C42 PDF BibTeX XML Cite \textit{I. P. Rybnikov}, Mat. Zamet. YAGU 17, No. 2, 98--108 (2010; Zbl 1274.53114) Full Text: Link OpenURL
Grinevich, P. G.; Mironov, A. E.; Novikov, S. P. 2D-Schrödinger operator, \((2+1)\) evolution systems and new reductions, 2D-Burgers hierarchy and inverse problem data. (English. Russian original) Zbl 1231.35199 Russ. Math. Surv. 65, No. 3, 580-582 (2010); translation from Uspekhi Mat. Nauk. 65, No. 3, 195-196 (2010). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q53 37K10 35R30 PDF BibTeX XML Cite \textit{P. G. Grinevich} et al., Russ. Math. Surv. 65, No. 3, 580--582 (2010; Zbl 1231.35199); translation from Uspekhi Mat. Nauk. 65, No. 3, 195--196 (2010) Full Text: DOI OpenURL
Kilian, Martin; Schmidt, Martin Ulrich On infitesimal deformations of CMC surfaces of finite type in the 3-sphere. (English) Zbl 1232.53013 Ohnita, Yoshihiro (ed.) et al., Riemann surfaces, harmonic maps and visualization. Proceedings of the 16th Osaka City University International Academic Symposium, Osaka, Japan, December 15–20, 2008. Osaka: Osaka Municipal Universities Press (ISBN 978-4-901409-69-8/hbk). OCAMI Studies 3, 231-248 (2010). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53A10 53C40 58E20 37K25 PDF BibTeX XML Cite \textit{M. Kilian} and \textit{M. U. Schmidt}, OCAMI Stud. 3, 231--248 (2010; Zbl 1232.53013) Full Text: arXiv OpenURL
Bunkova, E. Yu Addition theorem for the deformed Baker-Akhiezer function. (English. Russian original) Zbl 1213.30067 Russ. Math. Surv. 65, No. 6, 1175-1177 (2010). MSC: 30D99 35Q53 33E05 PDF BibTeX XML Cite \textit{E. Y. Bunkova}, Russ. Math. Surv. 65, No. 6, 1175--1177 (2010; Zbl 1213.30067) Full Text: DOI OpenURL
Kostova, Zoia; Kostov, Nikolay; Gerdjikov, Vladimir Differential resultant, computer algebra and completely integrable dynamical systems. (English) Zbl 1202.65167 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 12th international workshop, CASC 2010, Tsakhkadzor, Armenia, September 6–12, 2010. Proceedings. Berlin: Springer (ISBN 978-3-642-15273-3/pbk). Lecture Notes in Computer Science 6244, 148-161 (2010). MSC: 65P99 37K20 68W30 PDF BibTeX XML Cite \textit{Z. Kostova} et al., Lect. Notes Comput. Sci. 6244, 148--161 (2010; Zbl 1202.65167) Full Text: DOI OpenURL
Felder, Giovanni; Veselov, Alexander P. Baker-Akhiezer function as iterated residue and Selberg-type integral. (English) Zbl 1163.33327 Glasg. Math. J. 51A, 59-73 (2009). MSC: 33E30 81R12 PDF BibTeX XML Cite \textit{G. Felder} and \textit{A. P. Veselov}, Glasg. Math. J. 51A, 59--73 (2009; Zbl 1163.33327) Full Text: DOI arXiv OpenURL
Ogawa, Yuji On the (2+1)-dimensional extension of 1-dimensional Toda lattice hierarchy. (English) Zbl 1169.37015 J. Nonlinear Math. Phys. 15, No. 1, 48-65 (2008). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 37K10 PDF BibTeX XML Cite \textit{Y. Ogawa}, J. Nonlinear Math. Phys. 15, No. 1, 48--65 (2008; Zbl 1169.37015) Full Text: DOI OpenURL
Berest, Yuri; Cramer, Tim; Eshmatov, Farkhod Heat kernel coefficients for two-dimensional Schrödinger operators. (English) Zbl 1157.35341 Commun. Math. Phys. 283, No. 3, 853-860 (2008). MSC: 35J10 35C20 PDF BibTeX XML Cite \textit{Y. Berest} et al., Commun. Math. Phys. 283, No. 3, 853--860 (2008; Zbl 1157.35341) Full Text: DOI arXiv OpenURL
Grinevich, P. G.; Taimanov, I. A. Spectral conservation laws for periodic nonlinear equations of the Melnikov type. (English) Zbl 1158.35078 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, 125-138 (2008). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q53 35C05 35J10 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{I. A. Taimanov}, Transl., Ser. 2, Am. Math. Soc. 224, 125--138 (2008; Zbl 1158.35078) Full Text: arXiv OpenURL
Michor, Johanna; Teschl, Gerald Trace formulas for Jacobi operators in connection with scattering theory for quasi-periodic background. (English) Zbl 1133.47024 Janas, Jan (ed.) et al., Operator theory, analysis and mathematical physics. Mainly the lectures of the international conference on operator theory and its applications in mathematical physics, OTAMP 2004, Bedlewo, Poland, July 6–11, 2004. Basel: Birkhäuser (ISBN 978-3-7643-8134-9/hbk; 978-3-7643-8135-6/e-book). Operator Theory: Advances and Applications 174, 69-76 (2007). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 37K15 39A11 PDF BibTeX XML Cite \textit{J. Michor} and \textit{G. Teschl}, Oper. Theory: Adv. Appl. 174, 69--76 (2007; Zbl 1133.47024) Full Text: DOI arXiv OpenURL
Dragović, Vladimir Algebro-geometric integration in classical and statistical mechanics. (English) Zbl 1265.70001 Stanković, Bogoljub (ed.), Applications of mathematics in mechanics. Beograd: Matematički Institut SANU (ISBN 86-80593-39-7/pbk). Zbornik Radova (Beograd) 11(19), 121-154 (2006). Reviewer: Milena Radnović (Beograd) MSC: 70-02 70H06 70H20 37K10 PDF BibTeX XML Cite \textit{V. Dragović}, Zb. Rad. (Beogr.) 11, 121--154 (2006; Zbl 1265.70001) OpenURL
Vereshchagin, V. L. Integrable boundary-value problem for the Volterra chain on the half-axis. (English. Russian original) Zbl 1123.37047 Math. Notes 80, No. 5, 658-662 (2006); translation from Mat. Zametki 80, No. 5, 696-700 (2006). MSC: 37K60 37K20 PDF BibTeX XML Cite \textit{V. L. Vereshchagin}, Math. Notes 80, No. 5, 658--662 (2006; Zbl 1123.37047); translation from Mat. Zametki 80, No. 5, 696--700 (2006) Full Text: DOI OpenURL
Taimanov, Iskander A. Finite-gap theory of the Clifford torus. (English) Zbl 1078.53062 Int. Math. Res. Not. 2005, No. 2, 103-120 (2005). Reviewer: Huafei Sun (Beijing) MSC: 53C42 PDF BibTeX XML Cite \textit{I. A. Taimanov}, Int. Math. Res. Not. 2005, No. 2, 103--120 (2005; Zbl 1078.53062) Full Text: DOI arXiv OpenURL
Garsia, A. M.; Wallach, N. Combinatorial aspects of the Baker-Akhiezer functions for \(S_2\). (English) Zbl 1055.05157 Eur. J. Comb. 25, No. 8, 1231-1262 (2004). MSC: 05E35 33C47 05A15 PDF BibTeX XML Cite \textit{A. M. Garsia} and \textit{N. Wallach}, Eur. J. Comb. 25, No. 8, 1231--1262 (2004; Zbl 1055.05157) Full Text: DOI OpenURL
Krichever, I.; Vaninsky, K. L. The periodic and open Toda lattice. (English) Zbl 1119.37333 D’Hoker, Eric (ed.) et al., Mirror symmetry IV. Proceedings of the conference on strings, duality, and geometry, CRM, Montréal, Canada, 2000. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: International Press (ISBN 0-8218-3335-9/hbk). AMS/IP Stud. Adv. Math. 33, 139-158 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37K60 37K20 14H99 47B36 PDF BibTeX XML Cite \textit{I. Krichever} and \textit{K. L. Vaninsky}, AMS/IP Stud. Adv. Math. 33, 139--158 (2002; Zbl 1119.37333) Full Text: arXiv OpenURL
Kakei, Saburo; Ikeda, Takeshi; Takasaki, Kanehisa Hierarchy of \((2+1)\)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras. (English) Zbl 1054.35093 Ann. Henri Poincaré 3, No. 5, 817-845 (2002). Reviewer: Emma Previato (Boston) MSC: 35Q55 37K10 37K15 81R10 PDF BibTeX XML Cite \textit{S. Kakei} et al., Ann. Henri Poincaré 3, No. 5, 817--845 (2002; Zbl 1054.35093) Full Text: DOI arXiv OpenURL
Chalykh, Oleg A. Macdonald polynomials and algebraic integrability. (English) Zbl 1004.33009 Adv. Math. 166, No. 2, 193-259 (2002). Reviewer: Angela Pasquale (Clausthal-Zellerfeld) MSC: 33D52 33D80 81R12 PDF BibTeX XML Cite \textit{O. A. Chalykh}, Adv. Math. 166, No. 2, 193--259 (2002; Zbl 1004.33009) Full Text: DOI arXiv OpenURL
Sechkin, G. I.; Latyshev, A. V. Krichever-Drinfeld bimodules and matrix soliton solutions to the Lax equation of rank 2. (Russian. English summary) Zbl 1024.35025 Vestn. Omsk. Univ. 2001, No. 2, 14-15 (2001). MSC: 35C05 35P25 35Q53 37K10 17B80 37K15 PDF BibTeX XML Cite \textit{G. I. Sechkin} and \textit{A. V. Latyshev}, Vestn. Omsk. Univ. 2001, No. 2, 14--15 (2001; Zbl 1024.35025) OpenURL
Kamchatnov, A. M. On the Baker-Akhiezer function in the AKNS scheme. (English) Zbl 0984.35140 J. Phys. A, Math. Gen. 34, No. 33, L441-L446 (2001). MSC: 35Q53 37K20 PDF BibTeX XML Cite \textit{A. M. Kamchatnov}, J. Phys. A, Math. Gen. 34, No. 33, L441--L446 (2001; Zbl 0984.35140) Full Text: DOI Link OpenURL
Falqui, Gregorio; Reina, Cesare; Zampa, Alessandro A note on the super Krichever map. (English) Zbl 0995.37056 J. Geom. Phys. 37, No. 1-2, 169-181 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37K20 14H70 14M30 PDF BibTeX XML Cite \textit{G. Falqui} et al., J. Geom. Phys. 37, No. 1--2, 169--181 (2001; Zbl 0995.37056) Full Text: DOI arXiv OpenURL
Gorsky, A. S. Renormalization group on the phase and the gamma functions for the generic Hamiltonian systems. (English) Zbl 0972.81119 Phys. Lett., B 498, No. 3-4, 211-217 (2001). MSC: 81T17 37K10 PDF BibTeX XML Cite \textit{A. S. Gorsky}, Phys. Lett., B 498, No. 3--4, 211--217 (2001; Zbl 0972.81119) Full Text: DOI arXiv OpenURL
van Diejen, J. F. The dynamics of zeros of the solitonic Baker-Akhiezer function for the Toda chain. (English) Zbl 0960.37034 Int. Math. Res. Not. 2000, No. 5, 253-270 (2000). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 37K20 PDF BibTeX XML Cite \textit{J. F. van Diejen}, Int. Math. Res. Not. 2000, No. 5, 253--270 (2000; Zbl 0960.37034) Full Text: DOI OpenURL
Veselov, A. P.; Penskoi, A. V. Algebraic-geometric Poisson brackets for difference operators and Volterra systems. (English. Russian original) Zbl 0995.37055 Dokl. Math. 59, No. 3, 391-394 (1999); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 3, 299-303 (1999). MSC: 37K10 37J35 37K20 PDF BibTeX XML Cite \textit{A. P. Veselov} and \textit{A. V. Penskoi}, Dokl. Math. 59, No. 3, 299--303 (1999; Zbl 0995.37055); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 366, No. 3, 299--303 (1999) OpenURL
Dickson, R.; Gesztesy, F.; Unterkofler, K. Algebro-geometric solutions of the Boussinesq hierarchy. (English) Zbl 0971.35065 Rev. Math. Phys. 11, No. 7, 823-879 (1999). MSC: 35Q53 14H70 37K20 14H42 14H51 PDF BibTeX XML Cite \textit{R. Dickson} et al., Rev. Math. Phys. 11, No. 7, 823--879 (1999; Zbl 0971.35065) Full Text: DOI arXiv OpenURL
Nijhoff, F. V.; Chalykh, O. A. Bispectral rings of difference operators. (English. Russian original) Zbl 0977.39012 Russ. Math. Surv. 54, No. 3, 644-645 (1999); translation from Usp. Mat. Nauk 54, No. 3, 173-174 (1999). Reviewer: Mircea Puta (Timişoara) MSC: 39A70 47B39 PDF BibTeX XML Cite \textit{F. V. Nijhoff} and \textit{O. A. Chalykh}, Russ. Math. Surv. 54, No. 3, 644--645 (1999; Zbl 0977.39012); translation from Usp. Mat. Nauk 54, No. 3, 173--174 (1999) Full Text: DOI OpenURL
Iliev, Plamen Commutative algebras of \(q\)-difference operators and Calogero-Moser hierarchy. (Algèbres commutatives d’opérateurs aux \(q\)-différences et systèmes de Calogero-Moser.) (French. Abridged English version) Zbl 0947.39010 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 10, 877-882 (1999). MSC: 39A12 39A13 39A70 37K10 PDF BibTeX XML Cite \textit{P. Iliev}, C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 10, 877--882 (1999; Zbl 0947.39010) Full Text: DOI OpenURL
Chalykh, O. A.; Feigin, M. V.; Veselov, A. P. Multidimensional Baker-Akhiezer functions and Huygens’ principle. (English) Zbl 0972.35110 Commun. Math. Phys. 206, No. 3, 533-566 (1999). Reviewer: Tuncay Aktosun (Fargo) MSC: 35Q40 37K20 32W50 81R10 PDF BibTeX XML Cite \textit{O. A. Chalykh} et al., Commun. Math. Phys. 206, No. 3, 533--566 (1999; Zbl 0972.35110) Full Text: DOI arXiv OpenURL
Bogdanov, L. V. Analytic-bilinear approach to integrable hierarchies. (English) Zbl 0942.37048 Mathematics and its Applications (Dordrecht). 493. Dordrecht: Kluwer Academic Publishers. xii, 264 p. (1999). Reviewer: Francesco Calogero (Roma) MSC: 37K10 37-02 35-02 35Q58 35Q53 37K35 37K60 37K20 PDF BibTeX XML Cite \textit{L. V. Bogdanov}, Analytic-bilinear approach to integrable hierarchies. Dordrecht: Kluwer Academic Publishers (1999; Zbl 0942.37048) OpenURL
Dickson, Ronnie; Gesztesy, Fritz; Unterkofler, Karl A new approach to the Boussinesq hierarchy. (English) Zbl 0978.35049 Math. Nachr. 198, 51-108 (1999). Reviewer: Emma Previato (Boston) MSC: 35Q53 37K20 35Q51 76B25 35Q58 PDF BibTeX XML Cite \textit{R. Dickson} et al., Math. Nachr. 198, 51--108 (1999; Zbl 0978.35049) Full Text: DOI OpenURL
Gavrilov, Lubomir; Zhivkov, Angel The complex geometry of the Lagrange top. (English) Zbl 0972.37042 Enseign. Math., II. Sér. 44, No. 1-2, 133-170 (1998). Reviewer: Nicolai Konstantinovish Smolentsev (Kemerovo) MSC: 37J35 14H70 37N05 70E40 PDF BibTeX XML Cite \textit{L. Gavrilov} and \textit{A. Zhivkov}, Enseign. Math. (2) 44, No. 1--2, 133--170 (1998; Zbl 0972.37042) OpenURL
Álvarez Vázquez, A.; Muñoz Porras, J. M.; Plaza Martín, F. J. The algebraic formalism of soliton equations over arbitrary base fields. (English) Zbl 0995.14021 Rodríguez, Rubí (ed.) et al., Workshop on abelian varieties and theta functions. Morelia, México, July 8-27, 1996. Proceedings. México: Sociedad Matemática Mexicana. Aportaciones Mat., Investig. 13, 3-40 (1998). Reviewer: L.Piovan (Bahia Blanca) MSC: 14M15 14F10 PDF BibTeX XML Cite \textit{A. Álvarez Vázquez} et al., Aportaciones Mat., Investig. 13, 3--40 (1998; Zbl 0995.14021) Full Text: arXiv OpenURL
Bogdanov, L. V.; Ferapontov, E. V. A nonlocal Hamiltonian formalism for semi-Hamiltonian systems of the hydrodynamic type. (English. Russian original) Zbl 0965.37045 Theor. Math. Phys. 116, No. 1, 829-835 (1998); translation from Teor. Mat. Fiz. 116, No. 1, 113-121 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37J05 PDF BibTeX XML Cite \textit{L. V. Bogdanov} and \textit{E. V. Ferapontov}, Theor. Math. Phys. 116, No. 1, 829--835 (1998; Zbl 0965.37045); translation from Teor. Mat. Fiz. 116, No. 1, 113--121 (1998) Full Text: DOI OpenURL
Bogdanov, L. V.; Konopelchenko, B. G. Analytic-bilinear approach to integrable hierarchies. II: Multicomponent KP and 2D Toda lattice hierarchies. (English) Zbl 0927.37053 J. Math. Phys. 39, No. 9, 4701-4728 (1998). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{L. V. Bogdanov} and \textit{B. G. Konopelchenko}, J. Math. Phys. 39, No. 9, 4701--4728 (1998; Zbl 0927.37053) Full Text: DOI arXiv OpenURL
Bogdanov, L. V.; Konopelchenko, B. G. Analytic-bilinear approach to integrable hierarchies. I: Generalized KP hierarchy. (English) Zbl 0927.37052 J. Math. Phys. 39, No. 9, 4683-4700 (1998). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{L. V. Bogdanov} and \textit{B. G. Konopelchenko}, J. Math. Phys. 39, No. 9, 4683--4700 (1998; Zbl 0927.37052) Full Text: DOI arXiv OpenURL
Gesztesy, F.; Ratnaseelan, R. An alternative approach to algebro-geometric solutions of the AKNS hierarchy. (English) Zbl 0974.35107 Rev. Math. Phys. 10, No. 3, 345-391 (1998). MSC: 35Q53 37K20 14H42 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{R. Ratnaseelan}, Rev. Math. Phys. 10, No. 3, 345--391 (1998; Zbl 0974.35107) Full Text: DOI arXiv OpenURL
Aratyn, H.; Nissimov, E.; Pacheva, S. Method of squared eigenfunction potentials in integrable hierarchies of KP type. (English) Zbl 0907.35110 Commun. Math. Phys. 193, No. 3, 493-525 (1998). MSC: 35Q53 58J70 37J35 37K10 PDF BibTeX XML Cite \textit{H. Aratyn} et al., Commun. Math. Phys. 193, No. 3, 493--525 (1998; Zbl 0907.35110) Full Text: DOI arXiv OpenURL
Veselov, A. P. Huygen’s principle and integrability. (English) Zbl 0912.35098 Balog, A. (ed.) et al., European congress of mathematics (ECM), Budapest, Hungary, July 22–26, 1996. Volume II. Basel: Birkhäuser. Prog. Math. 169, 259-275 (1998). Reviewer: M.Marvan (Opava) MSC: 35L10 35J10 53C35 37J35 37K10 PDF BibTeX XML Cite \textit{A. P. Veselov}, Prog. Math. 169, 259--275 (1998; Zbl 0912.35098) OpenURL
Kuznetsov, Vadim B. Separation of variables for the \({\mathfrak D}_n\)-type periodic Toda lattice. (English) Zbl 0935.37038 J. Phys. A, Math. Gen. 30, No. 6, 2127-2138 (1997). Reviewer: Samir Musayev (Baku) MSC: 37K10 37K20 37N20 PDF BibTeX XML Cite \textit{V. B. Kuznetsov}, J. Phys. A, Math. Gen. 30, No. 6, 2127--2138 (1997; Zbl 0935.37038) Full Text: DOI arXiv OpenURL
Chalykh, O. A. The duality of the generalized Calogero and Ruijsenaars problems. (English. Russian original) Zbl 0916.35096 Russ. Math. Surv. 52, No. 6, 1289-1291 (1997); translation from Usp. Mat. Nauk 52, No. 191-192 (1997). MSC: 35Q40 81Q10 PDF BibTeX XML Cite \textit{O. A. Chalykh}, Russ. Math. Surv. 52, No. 6, 1289--1291 (1997; Zbl 0916.35096); translation from Usp. Mat. Nauk 52, No. 191--192 (1997) Full Text: DOI OpenURL
Carroll, Robert Some kernels on a Riemann surface. (English) Zbl 0937.30025 Appl. Anal. 65, No. 3-4, 333-352 (1997). Reviewer: Viktor Z.Enol’skij (Kyïv) MSC: 30F30 14H05 14H40 PDF BibTeX XML Cite \textit{R. Carroll}, Appl. Anal. 65, No. 3--4, 333--352 (1997; Zbl 0937.30025) Full Text: DOI arXiv OpenURL
Kuznetsov, V. B.; Nijhoff, F. W.; Sklyanin, E. K. Separation of variables for the Ruijsenaars system. (English) Zbl 0892.58040 Commun. Math. Phys. 189, No. 3, 855-877 (1997). MSC: 37J35 37K10 81U20 70H40 81V70 PDF BibTeX XML Cite \textit{V. B. Kuznetsov} et al., Commun. Math. Phys. 189, No. 3, 855--877 (1997; Zbl 0892.58040) Full Text: DOI arXiv OpenURL
Carroll, Robert; Chang, Jen Hsu The Whitham equations revisited. (English) Zbl 0887.14011 Appl. Anal. 64, No. 3-4, 343-378 (1997). Reviewer: V.Z.Enol’skij (Kyïv) MSC: 14H05 30F30 14H55 14H40 37J35 37K10 PDF BibTeX XML Cite \textit{R. Carroll} and \textit{J. H. Chang}, Appl. Anal. 64, No. 3--4, 343--378 (1997; Zbl 0887.14011) Full Text: DOI arXiv OpenURL
Takasaki, Kanehisa; Takebe, Takashi Quasiclassical limit of KP hierarchy, \(W\)-symmetries, and free fermions. (English. Russian original) Zbl 0947.37038 J. Math. Sci., New York 94, No. 4, 1635-1641 (1999); translation from Zap. Nauchn. Semin. POMI 235, 295-303 (1996). Reviewer: Steven Duplij (Kharkov) MSC: 37K10 35Q53 81R10 PDF BibTeX XML Cite \textit{K. Takasaki} and \textit{T. Takebe}, J. Math. Sci., New York 94, No. 4, 1 (1996; Zbl 0947.37038); translation from Zap. Nauchn. Semin. POMI 235, 295--303 (1996) Full Text: DOI arXiv EuDML OpenURL
Kuznetsov, V. B.; Sklyanin, E. K. Separation of variables for the \(A_2\) Ruijsenaars model and a new integral representation for the \(A_2\) Macdonald polynomials. (English) Zbl 0896.35136 J. Phys. A, Math. Gen. 29, No. 11, 2779-2804 (1996). MSC: 35Q75 83C47 81T10 PDF BibTeX XML Cite \textit{V. B. Kuznetsov} and \textit{E. K. Sklyanin}, J. Phys. A, Math. Gen. 29, No. 11, 2779--2804 (1996; Zbl 0896.35136) Full Text: DOI arXiv OpenURL
Sklyanin, Evgueni K. Separation of variables. New trends. (English) Zbl 0868.35002 Inami, Takeo (ed.) et al., Quantum field theory, integrable models and beyond. Proceedings of a workshop, Kyoto, Japan, February 14-17, 1994. Kyoto: Kyoto University, Yukawa Inst. for Theoretical Physics, Prog. Theor. Phys., Suppl. 118, 35-60 (1995). MSC: 35-02 35A25 35Q55 PDF BibTeX XML Cite \textit{E. K. Sklyanin}, Prog. Theor. Phys., Suppl. 118, 35--60 (1995; Zbl 0868.35002) Full Text: arXiv OpenURL
Krichever, I. M. Elliptic solutions of nonlinear integrable equations and related topics. (English) Zbl 0811.35123 Acta Appl. Math. 36, No. 1-2, 7-25 (1994). MSC: 35Q53 35Q51 14H52 14H55 PDF BibTeX XML Cite \textit{I. M. Krichever}, Acta Appl. Math. 36, No. 1--2, 7--25 (1994; Zbl 0811.35123) Full Text: DOI OpenURL
McArthur, I. N. Two-reduction of the super-KP hierarchy. (English) Zbl 0789.35145 Commun. Math. Phys. 159, No. 1, 121-131 (1994). MSC: 35Q53 37J35 37K10 PDF BibTeX XML Cite \textit{I. N. McArthur}, Commun. Math. Phys. 159, No. 1, 121--131 (1994; Zbl 0789.35145) Full Text: DOI OpenURL
Novokshenov, V. Yu. Whitham deformations of top-like integrable dynamical systems. (English. Russian original) Zbl 0809.34011 Funct. Anal. Appl. 27, No. 2, 118-127 (1993); translation from Funkts. Anal. Prilozh. 27, No. 2, 50-62 (1993). Reviewer: J.Chrastina (Brno) MSC: 34M99 34A25 37C55 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov}, Funct. Anal. Appl. 27, No. 2, 118--127 (1993; Zbl 0809.34011); translation from Funkts. Anal. Prilozh. 27, No. 2, 50--62 (1993) Full Text: DOI OpenURL
McKean, Henry P. Baker-Akhiezer functions in the scattering case. (English) Zbl 0810.35112 Commun. Pure Appl. Math. 46, No. 5, 783-785 (1993). Reviewer: B.G.Konopelchenko (Novosibirsk) MSC: 35Q53 14H42 35P25 PDF BibTeX XML Cite \textit{H. P. McKean}, Commun. Pure Appl. Math. 46, No. 5, 783--785 (1993; Zbl 0810.35112) Full Text: DOI OpenURL
Takasaki, Kanehisa Quasi-classical limit of BKP hierarchy and \(W\)-infinity symmetries. (English) Zbl 0778.35101 Lett. Math. Phys. 28, No. 3, 177-185 (1993). MSC: 35Q58 37J35 37K10 17B65 81R10 PDF BibTeX XML Cite \textit{K. Takasaki}, Lett. Math. Phys. 28, No. 3, 177--185 (1993; Zbl 0778.35101) Full Text: DOI arXiv OpenURL
Sattinger, D. H.; Szmigielski, J. S. Factorization and the dressing method for the Gel’fand-Dikii hierarchy. (English) Zbl 0770.34060 Physica D 64, No. 1-3, 1-34 (1993). MSC: 34L40 34C20 PDF BibTeX XML Cite \textit{D. H. Sattinger} and \textit{J. S. Szmigielski}, Physica D 64, No. 1--3, 1--34 (1993; Zbl 0770.34060) Full Text: DOI arXiv OpenURL
Bobenko, A. I. All constant mean curvature tori in \(R^ 3\), \(S^ 3\), \(H^ 3\) in terms of theta-functions. (English) Zbl 0711.53007 Math. Ann. 290, No. 2, 209-245 (1991). MSC: 53A10 PDF BibTeX XML Cite \textit{A. I. Bobenko}, Math. Ann. 290, No. 2, 209--245 (1991; Zbl 0711.53007) Full Text: DOI EuDML OpenURL