Ma, Wen-Xiu; Batwa, Sumayah A binary Darboux transformation for multicomponent NLS equations and their reductions. (English) Zbl 07311012 Anal. Math. Phys. 11, No. 2, Paper No. 44, 13 p. (2021). MSC: 37K15 35Q55 37K40 PDF BibTeX XML Cite \textit{W.-X. Ma} and \textit{S. Batwa}, Anal. Math. Phys. 11, No. 2, Paper No. 44, 13 p. (2021; Zbl 07311012) Full Text: DOI
Jia, Ting-Ting; Gao, Yi-Tian; Yu, Xin; Li, Liu-Qing Lax pairs, infinite conservation laws, Darboux transformation, bilinear forms and solitonic interactions for a combined Calogero-Bogoyavlenskii-Schiff-type equation. (English) Zbl 07307167 Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021). MSC: 35 82 PDF BibTeX XML Cite \textit{T.-T. Jia} et al., Appl. Math. Lett. 114, Article ID 106702, 10 p. (2021; Zbl 07307167) Full Text: DOI
Wang, Deng-Shan; Li, Qian; Wen, Xiao-Yong; Liu, Ling Matrix spectral problems and integrability aspects of the Błaszak-Marciniak lattice equations. (English) Zbl 07304324 Rep. Math. Phys. 86, No. 3, 325-353 (2020). MSC: 37 35 PDF BibTeX XML Cite \textit{D.-S. Wang} et al., Rep. Math. Phys. 86, No. 3, 325--353 (2020; Zbl 07304324) Full Text: DOI
Riaz, H. Wajahat A. Darboux transformation and exact multisolitons for a matrix coupled dispersionless system. (English) Zbl 1451.35051 Commun. Theor. Phys. 72, No. 7, Article ID 075001, 7 p. (2020). MSC: 35C08 35A30 37K35 PDF BibTeX XML Cite \textit{H. W. A. Riaz}, Commun. Theor. Phys. 72, No. 7, Article ID 075001, 7 p. (2020; Zbl 1451.35051) Full Text: DOI
Amjad, Z.; Haider, B. Multisolitons of the \(U(N)\) generalized Heisenberg magnet model and the Yang-Baxter relation. (English. Russian original) Zbl 07284355 Theor. Math. Phys. 205, No. 2, 1426-1438 (2020); translation from Teor. Mat. Fiz. 205, No. 2, 208-221 (2020). MSC: 82D40 35C08 16T25 37K35 37K40 PDF BibTeX XML Cite \textit{Z. Amjad} and \textit{B. Haider}, Theor. Math. Phys. 205, No. 2, 1426--1438 (2020; Zbl 07284355); translation from Teor. Mat. Fiz. 205, No. 2, 208--221 (2020) Full Text: DOI
Allakhverdyan, Alina Al’bertovna; Shabat, Alekseĭ Borisovich Products of eigenfunctions and Wronskians. (Russian. English summary) Zbl 07281897 Ufim. Mat. Zh. 12, No. 2, 3-9 (2020); translation in Ufa Math. J. 12, No. 2, 3-9 (2020). MSC: 35P05 35B10 PDF BibTeX XML Cite \textit{A. A. Allakhverdyan} and \textit{A. B. Shabat}, Ufim. Mat. Zh. 12, No. 2, 3--9 (2020; Zbl 07281897); translation in Ufa Math. J. 12, No. 2, 3--9 (2020) Full Text: DOI MNR
Mironova, L. B. Boundary-value problems with data on characteristics for hyperbolic systems of equations. (English) Zbl 1450.35165 Lobachevskii J. Math. 41, No. 3, 400-406 (2020). MSC: 35L50 35C15 PDF BibTeX XML Cite \textit{L. B. Mironova}, Lobachevskii J. Math. 41, No. 3, 400--406 (2020; Zbl 1450.35165) Full Text: DOI
Li, Ruomeng; Geng, Xianguo A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. (English) Zbl 07265436 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105408, 14 p. (2020). MSC: 35 65 PDF BibTeX XML Cite \textit{R. Li} and \textit{X. Geng}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105408, 14 p. (2020; Zbl 07265436) Full Text: DOI
Li, Ruomeng; Geng, Xianguo; Xue, Bo Darboux transformations for a matrix long-wave-short-wave equation and higher-order rational rogue-wave solutions. (English) Zbl 1446.35163 Math. Methods Appl. Sci. 43, No. 2, 948-967 (2020). MSC: 35Q51 37K35 37K10 PDF BibTeX XML Cite \textit{R. Li} et al., Math. Methods Appl. Sci. 43, No. 2, 948--967 (2020; Zbl 1446.35163) Full Text: DOI
Korda, Milan; Putinar, Mihai; Mezić, Igor Data-driven spectral analysis of the Koopman operator. (English) Zbl 1436.37093 Appl. Comput. Harmon. Anal. 48, No. 2, 599-629 (2020). MSC: 37M10 15B05 47N40 PDF BibTeX XML Cite \textit{M. Korda} et al., Appl. Comput. Harmon. Anal. 48, No. 2, 599--629 (2020; Zbl 1436.37093) Full Text: DOI
He, Guoliang; Zheng, Zhenzhen A novel hierarchy of differential equations, conservation laws and Darboux transformation. (Chinese. English summary) Zbl 1449.35305 J. Zhengzhou Univ., Nat. Sci. Ed. 51, No. 4, 116-122 (2019). MSC: 35L65 37K35 PDF BibTeX XML Cite \textit{G. He} and \textit{Z. Zheng}, J. Zhengzhou Univ., Nat. Sci. Ed. 51, No. 4, 116--122 (2019; Zbl 1449.35305) Full Text: DOI
Koelink, Erik; Román, Pablo Matrix valued Laguerre polynomials. (English) Zbl 07201930 Buskes, Gerard (ed.) et al., Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop “Positivity and Noncommutative Analysis”, Delft, The Netherlands, September 26–28, 2018. Cham: Birkhäuser (ISBN 978-3-030-10849-6/hbk; 978-3-030-10850-2/ebook). Trends in Mathematics, 295-320 (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 47A56 33C45 PDF BibTeX XML Cite \textit{E. Koelink} and \textit{P. Román}, in: Positivity and noncommutative analysis. Festschrift in honour of Ben de Pagter on the occasion of his 65th birthday. Based on the workshop ``Positivity and Noncommutative Analysis'', Delft, The Netherlands, September 26--28, 2018. Cham: Birkhäuser. 295--320 (2019; Zbl 07201930) Full Text: DOI
Ma, Wen-Xiu A Darboux transformation for the Volterra lattice equation. (English) Zbl 1435.35331 Anal. Math. Phys. 9, No. 4, 1711-1718 (2019). Reviewer: Jipeng Cheng (Xuzhou) MSC: 35Q51 35Q53 37K40 37K35 37K60 37K10 15A18 35A22 PDF BibTeX XML Cite \textit{W.-X. Ma}, Anal. Math. Phys. 9, No. 4, 1711--1718 (2019; Zbl 1435.35331) Full Text: DOI
Kovalyov, Ivan M. Shifted Darboux transformations of the generalized Jacobi matrices. I. (English. Ukrainian original) Zbl 07140871 J. Math. Sci., New York 242, No. 3, 393-412 (2019); translation from Ukr. Mat. Visn. 15, No. 4, 490-515 (2018). Reviewer: Leonid Golinskii (Kharkov) MSC: 47B36 15A23 42C05 PDF BibTeX XML Cite \textit{I. M. Kovalyov}, J. Math. Sci., New York 242, No. 3, 393--412 (2019; Zbl 07140871); translation from Ukr. Mat. Visn. 15, No. 4, 490--515 (2018) Full Text: DOI
Michor, J.; Sakhnovich, A. L. GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS. (English) Zbl 1422.35151 J. Phys. A, Math. Theor. 52, No. 2, Article ID 025201, 24 p. (2019). MSC: 35Q55 37K10 37K35 14D24 PDF BibTeX XML Cite \textit{J. Michor} and \textit{A. L. Sakhnovich}, J. Phys. A, Math. Theor. 52, No. 2, Article ID 025201, 24 p. (2019; Zbl 1422.35151) Full Text: DOI
Grünbaum, F. Alberto; de la Iglesia, Manuel D. Stochastic Darboux transformations for quasi-birth-and-death processes and urn models. (English) Zbl 07096794 J. Math. Anal. Appl. 478, No. 2, 634-654 (2019). MSC: 60 93 PDF BibTeX XML Cite \textit{F. A. Grünbaum} and \textit{M. D. de la Iglesia}, J. Math. Anal. Appl. 478, No. 2, 634--654 (2019; Zbl 07096794) Full Text: DOI
Shen, Jing; Geng, Xianguo; Xue, Bo Exact solutions of a negative matrix AKNS system with a Hermitian symmetric space. (English) Zbl 1410.35181 Appl. Math. Lett. 90, 8-14 (2019). MSC: 35Q53 35Q51 37K35 PDF BibTeX XML Cite \textit{J. Shen} et al., Appl. Math. Lett. 90, 8--14 (2019; Zbl 1410.35181) Full Text: DOI
Messias, Marcelo; Silva, Rafael Paulino Nonchaotic behavior in quadratic three-dimensional differential systems with a symmetric Jacobian matrix. (English) Zbl 1388.34038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1830006, 12 p. (2018). MSC: 34C28 34D05 34C14 34A05 PDF BibTeX XML Cite \textit{M. Messias} and \textit{R. P. Silva}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 3, Article ID 1830006, 12 p. (2018; Zbl 1388.34038) Full Text: DOI
Fritzsche, B.; Kirstein, B.; Roitberg, I. Ya; Sakhnovich, A. L. Continuous and discrete dynamical Schrödinger systems: explicit solutions. (English) Zbl 1387.81207 J. Phys. A, Math. Theor. 51, No. 1, Article ID 015202, 15 p. (2018). MSC: 81Q05 39A12 81U15 37K35 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., J. Phys. A, Math. Theor. 51, No. 1, Article ID 015202, 15 p. (2018; Zbl 1387.81207) Full Text: DOI
Ma, Wen-Xiu; Zhang, Yu-Juan Darboux transformations of integrable couplings and applications. (English) Zbl 1383.35194 Rev. Math. Phys. 30, No. 2, Article ID 1850003, 26 p. (2018). MSC: 35Q53 37K05 37K10 35C08 35Q55 17B81 PDF BibTeX XML Cite \textit{W.-X. Ma} and \textit{Y.-J. Zhang}, Rev. Math. Phys. 30, No. 2, Article ID 1850003, 26 p. (2018; Zbl 1383.35194) Full Text: DOI
Sarfraz, H.; Saleem, U. Darboux transformation and multi-soliton solutions of local/nonlocal \(N\)-wave interactions. (English) Zbl 1378.35008 Mod. Phys. Lett. A 32, No. 36, Article ID 1750196, 18 p. (2017). MSC: 35A22 35C08 PDF BibTeX XML Cite \textit{H. Sarfraz} and \textit{U. Saleem}, Mod. Phys. Lett. A 32, No. 36, Article ID 1750196, 18 p. (2017; Zbl 1378.35008) Full Text: DOI
Koelink, Erik; de los Ríos, Ana M.; Román, Pablo Matrix-valued Gegenbauer-type polynomials. (English) Zbl 1384.33025 Constr. Approx. 46, No. 3, 459-487 (2017). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C47 33C45 33E30 PDF BibTeX XML Cite \textit{E. Koelink} et al., Constr. Approx. 46, No. 3, 459--487 (2017; Zbl 1384.33025) Full Text: DOI
Marcano, José; Infante, Saba; Sánchez, Luis On a generalization of the maximum entropy theorem of Burg. (English. Spanish summary) Zbl 06800672 Rev. Mat. Teor. Apl. 24, No. 1, 97-113 (2017). MSC: 47A56 PDF BibTeX XML Cite \textit{J. Marcano} et al., Rev. Mat. Teor. Apl. 24, No. 1, 97--113 (2017; Zbl 06800672) Full Text: DOI
Sarfraz, H.; Saleem, U. Exact solutions of the noncommutative and commutative nonlinear Schrödinger equation in \(2+1\) dimensions. (English) Zbl 1373.35290 Mod. Phys. Lett. A 32, No. 29, Article ID 1750158, 16 p. (2017). MSC: 35Q55 35C05 35C08 58B34 35A22 PDF BibTeX XML Cite \textit{H. Sarfraz} and \textit{U. Saleem}, Mod. Phys. Lett. A 32, No. 29, Article ID 1750158, 16 p. (2017; Zbl 1373.35290) Full Text: DOI
Waldmann, Stefan Linear Algebra II. Applications and concepts for students in mathematics and physics. (Lineare Algebra II. Anwendungen und Konzepte für Studierende der Mathematik und Physik.) (German) Zbl 1373.15003 Heidelberg: Springer Spektrum (ISBN 978-3-662-53347-5/pbk; 978-3-662-53348-2/ebook). xv, 248 p. (2017). Reviewer: Rabe von Randow (Bonn) MSC: 15-01 15A69 15A63 34A26 34A30 15A16 PDF BibTeX XML Cite \textit{S. Waldmann}, Lineare Algebra II. Anwendungen und Konzepte für Studierende der Mathematik und Physik. Heidelberg: Springer Spektrum (2017; Zbl 1373.15003) Full Text: DOI
Kovalyov, Ivan Mikhailovich Darboux transformation with parameter of generalized Jacobi matrices. (English. Russian original) Zbl 1370.15011 J. Math. Sci., New York 222, No. 6, 703-722 (2017); translation from Ukr. Mat. Visn. 13, No. 3, 298–323 (2016). Reviewer: Rabe von Randow (Bonn) MSC: 15A23 PDF BibTeX XML Full Text: DOI
Tuğ, Gül; Özdemir, Zehra; Aydin, Selçuk Han; Ekmekci, Faik Nejat Accretive growth kinematics in Minkowski 3-space. (English) Zbl 1365.53011 Int. J. Geom. Methods Mod. Phys. 14, No. 5, Article ID 1750069, 16 p. (2017). MSC: 53A35 53A17 PDF BibTeX XML Cite \textit{G. Tuğ} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 5, Article ID 1750069, 16 p. (2017; Zbl 1365.53011) Full Text: DOI
Andreescu, Titu; Mortici, Cristinel; Tetiva, Marian Mathematical bridges. (English) Zbl 1421.00001 Basel: Birkhäuser/Springer (ISBN 978-0-8176-4394-2/hbk; 978-0-8176-4629-5/ebook). viii, 309 p. (2017). Reviewer: Mowaffaq Hajja (Amman) MSC: 00A07 97U40 03-01 15-01 26-01 PDF BibTeX XML Cite \textit{T. Andreescu} et al., Mathematical bridges. Basel: Birkhäuser/Springer (2017; Zbl 1421.00001) Full Text: DOI
Sakhnovich, Alexander Inverse problems for self-adjoint Dirac systems: explicit solutions and stability of the procedure. (English) Zbl 1358.15011 Oper. Matrices 10, No. 4, 997-1008 (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 15A24 34A55 34B20 34D20 93B20 65L09 37K35 15A29 PDF BibTeX XML Cite \textit{A. Sakhnovich}, Oper. Matrices 10, No. 4, 997--1008 (2016; Zbl 1358.15011) Full Text: DOI
Wei, Hanyu; Tong, Yanchun; Xu, Ran The Darboux transformation of the derivative Manakov equation and its explicit solution. (English) Zbl 1363.35305 J. Math., Wuhan Univ. 36, No. 1, 6-16 (2016). MSC: 35Q51 37K35 37K40 PDF BibTeX XML Cite \textit{H. Wei} et al., J. Math., Wuhan Univ. 36, No. 1, 6--16 (2016; Zbl 1363.35305)
Ariznabarreta, Gerardo; Mañas, Manuel Multivariate orthogonal polynomials and integrable systems. (English) Zbl 1350.15002 Adv. Math. 302, 628-739 (2016). MSC: 15A23 42C05 65F05 37K10 37L60 46L55 PDF BibTeX XML Cite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 302, 628--739 (2016; Zbl 1350.15002) Full Text: DOI arXiv
Hürlimann, Werner An explicit version of the Chebyshev-Markov-Stieltjes inequalities and its applications. (English) Zbl 1372.60017 J. Inequal. Appl. 2015, Paper No. 192, 16 p. (2015). MSC: 60E15 15A15 15A24 35F05 42C05 65C60 91G10 PDF BibTeX XML Cite \textit{W. Hürlimann}, J. Inequal. Appl. 2015, Paper No. 192, 16 p. (2015; Zbl 1372.60017) Full Text: DOI
Derkach, Vladimir; Kovalyov, Ivan On a class of generalized Stieltjes continued fractions. (English) Zbl 1363.47055 Methods Funct. Anal. Topol. 21, No. 4, 315-335 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 47B36 30B70 40A15 42C05 PDF BibTeX XML Cite \textit{V. Derkach} and \textit{I. Kovalyov}, Methods Funct. Anal. Topol. 21, No. 4, 315--335 (2015; Zbl 1363.47055)
Castro, M.; Grünbaum, F. A. The Darboux process and time-and-band limiting for matrix orthogonal polynomials. (English) Zbl 1326.33013 Linear Algebra Appl. 487, 328-341 (2015). MSC: 33C45 22E45 33C47 PDF BibTeX XML Cite \textit{M. Castro} and \textit{F. A. Grünbaum}, Linear Algebra Appl. 487, 328--341 (2015; Zbl 1326.33013) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Roitberg, Inna Ya.; Sakhnovich, Alexander L. Pseudo-exponential-type solutions of wave equations depending on several variables. (English) Zbl 1311.35056 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 010, 13 p. (2015). MSC: 35C08 35Q41 15A24 58J72 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 010, 13 p. (2015; Zbl 1311.35056) Full Text: DOI EMIS arXiv
Derevyagin, Maxim Spectral theory of the \(G\)-symmetric tridiagonal matrices related to Stahl’s counterexample. (English) Zbl 1309.42033 J. Approx. Theory 191, Part A, 58-70 (2015). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 47B36 47B50 15A23 30B70 30E20 PDF BibTeX XML Cite \textit{M. Derevyagin}, J. Approx. Theory 191, 58--70 (2015; Zbl 1309.42033) Full Text: DOI arXiv
He, Baiying; Chen, Liangyun Hamiltonian forms of the two new integrable systems and two kinds of Darboux transformations. (English) Zbl 1335.37052 Appl. Math. Comput. 244, 261-273 (2014). MSC: 37K30 37K35 PDF BibTeX XML Cite \textit{B. He} and \textit{L. Chen}, Appl. Math. Comput. 244, 261--273 (2014; Zbl 1335.37052) Full Text: DOI
Álvarez-Fernández, Carlos; Mañas, Manuel On the Christoffel-Darboux formula for generalized matrix orthogonal polynomials. (English) Zbl 1305.33016 J. Math. Anal. Appl. 418, No. 1, 238-247 (2014). MSC: 33C45 42C05 PDF BibTeX XML Cite \textit{C. Álvarez-Fernández} and \textit{M. Mañas}, J. Math. Anal. Appl. 418, No. 1, 238--247 (2014; Zbl 1305.33016) Full Text: DOI arXiv
Ariznabarreta, Gerardo; Mañas, Manuel Matrix orthogonal Laurent polynomials on the unit circle and Toda type integrable systems. (English) Zbl 1305.33018 Adv. Math. 264, 396-463 (2014). MSC: 33C45 37K10 37L60 42C05 46L55 PDF BibTeX XML Cite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 264, 396--463 (2014; Zbl 1305.33018) Full Text: DOI arXiv
Chernov, A. V. A generalization of Bihari’s lemma to the case of Volterra operators in Lebesgue spaces. (English. Russian original) Zbl 1285.47089 Math. Notes 94, No. 5, 703-714 (2013); translation from Mat. Zametki 94, No. 5, 757-769 (2013). Reviewer: Denis Sidorov (Irkutsk) MSC: 47N20 39B42 45N05 47H30 PDF BibTeX XML Cite \textit{A. V. Chernov}, Math. Notes 94, No. 5, 703--714 (2013; Zbl 1285.47089); translation from Mat. Zametki 94, No. 5, 757--769 (2013) Full Text: DOI
Derevyagin, Maxim On the relation between Darboux transformations and polynomial mappings. (English) Zbl 1292.33012 J. Approx. Theory 172, 4-22 (2013). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 30E05 41A21 PDF BibTeX XML Cite \textit{M. Derevyagin}, J. Approx. Theory 172, 4--22 (2013; Zbl 1292.33012) Full Text: DOI arXiv
Wen, Xiao-Yong A new integrable lattice hierarchy associated with a discrete \(3\times 3\) matrix spectral problem: \(N\)-fold Darboux transformation and explicit solutions. (English) Zbl 1386.37075 Rep. Math. Phys. 71, No. 1, 15-32 (2013). MSC: 37K60 37K10 37K35 PDF BibTeX XML Cite \textit{X.-Y. Wen}, Rep. Math. Phys. 71, No. 1, 15--32 (2013; Zbl 1386.37075) Full Text: DOI Link
Sakhnovich, Alexander L.; Sakhnovich, Lev A.; Roitberg, Inna Ya. Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. (English) Zbl 1283.47003 de Gruyter Studies in Mathematics 47. Berlin: De Gruyter (ISBN 978-3-11-025860-8/hbk; 978-3-11-025861-5/ebook). xiii, 341 p. (2013). Reviewer: Josef Diblík (Brno) MSC: 47-02 47N20 47A48 34L40 34B20 35G61 35Q51 37K15 37K35 35F46 35A01 35A02 35Q41 39A12 93B28 65N21 65M32 PDF BibTeX XML Cite \textit{A. L. Sakhnovich} et al., Inverse problems and nonlinear evolution equations. Solutions, Darboux matrices and Weyl-Titchmarsh functions. Berlin: De Gruyter (2013; Zbl 1283.47003)
Maksimova, E. A. On the Cauchy problem for the Euler-Poisson-Darboux system with nilpotent matrix coefficient. (Russian. English summary) Zbl 1326.35189 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2012, No. 3(28), 184-187 (2012). MSC: 35L45 PDF BibTeX XML Cite \textit{E. A. Maksimova}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 2012, No. 3(28), 184--187 (2012; Zbl 1326.35189) Full Text: DOI MNR
Kieburg, Mario Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT. (English) Zbl 1244.15025 J. Phys. A, Math. Theor. 45, No. 20, Article ID 205203, 45 p. (2012). MSC: 15B52 33D45 42C05 60B20 81V05 PDF BibTeX XML Cite \textit{M. Kieburg}, J. Phys. A, Math. Theor. 45, No. 20, Article ID 205203, 45 p. (2012; Zbl 1244.15025) Full Text: DOI arXiv
Grünbaum, F. Alberto The Darboux process and a noncommutative bispectral problem: some explorations and challenges. (English) Zbl 1263.34022 van den Ban, Erik P. (ed.) et al., Geometric aspects of analysis and mechanics. In honor of the 65th birthday of Hans Duistermaat. Basel: Birkhäuser (ISBN 978-0-8176-8243-9/hbk; 978-0-8176-8244-6/ebook). Progress in Mathematics 292, 161-177 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 34A55 34L99 34-02 PDF BibTeX XML Cite \textit{F. A. Grünbaum}, Prog. Math. 292, 161--177 (2011; Zbl 1263.34022) Full Text: DOI
Konopelchenko, B.; Martínez Alonso, L.; Medina, E. On the singular sector of the Hermitian random matrix model in the large \(N\) limit. (English) Zbl 1242.37046 Phys. Lett., A 375, No. 5, 867-872 (2011). MSC: 37K10 15B52 35L05 PDF BibTeX XML Cite \textit{B. Konopelchenko} et al., Phys. Lett., A 375, No. 5, 867--872 (2011; Zbl 1242.37046) Full Text: DOI arXiv
Aptekarev, A. I.; Kuijlaars, A. B. J. Hermite-Padé approximations and multiple orthogonal polynomial ensembles. (English. Russian original) Zbl 1243.41004 Russ. Math. Surv. 66, No. 6, 1133-1199 (2011); translation from Usp. Mat. Nauk 66, No. 6, 123-190 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 41A21 30C15 31A15 42C05 60B20 60G17 60G55 PDF BibTeX XML Cite \textit{A. I. Aptekarev} and \textit{A. B. J. Kuijlaars}, Russ. Math. Surv. 66, No. 6, 1133--1199 (2011; Zbl 1243.41004); translation from Usp. Mat. Nauk 66, No. 6, 123--190 (2011) Full Text: DOI
Kaptsov, O. V. Partial differential equations with finite-dimensional solution manifolds. (English. Russian original) Zbl 1247.65153 Program. Comput. Softw. 37, No. 2, 113-119 (2011); translation from Programmirovanie 37, No. 2 (2011). MSC: 65N99 35F50 35G35 PDF BibTeX XML Full Text: DOI
Sakhnovich, A. L. The time-dependent Schrödinger equation of dimension \(k + 1\): explicit and rational solutions via GBDT and multinodes. (English) Zbl 1231.35190 J. Phys. A, Math. Theor. 44, No. 47, Article ID 475201, 12 p. (2011). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q41 35C08 47A48 PDF BibTeX XML Cite \textit{A. L. Sakhnovich}, J. Phys. A, Math. Theor. 44, No. 47, Article ID 475201, 12 p. (2011; Zbl 1231.35190) Full Text: DOI arXiv
Derevyagin, Maxim; Derkach, Vladimir Darboux transformations of Jacobi matrices and Padé approximation. (English) Zbl 1227.47018 Linear Algebra Appl. 435, No. 12, 3056-3084 (2011). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 47B36 30E05 41A21 42C05 46C20 PDF BibTeX XML Cite \textit{M. Derevyagin} and \textit{V. Derkach}, Linear Algebra Appl. 435, No. 12, 3056--3084 (2011; Zbl 1227.47018) Full Text: DOI arXiv
Rambour, Philippe; Seghier, Abdellatif The generalised Dyson circular unitary ensemble: asymptotic distribution of the eigenvalues at the origin of the spectrum. (English) Zbl 1217.15042 Integral Equations Oper. Theory 69, No. 4, 535-555 (2011). Reviewer: Grozio Stanilov (Sofia) MSC: 15B52 15B05 42C05 15A18 15A60 PDF BibTeX XML Cite \textit{P. Rambour} and \textit{A. Seghier}, Integral Equations Oper. Theory 69, No. 4, 535--555 (2011; Zbl 1217.15042) Full Text: DOI
Ball, Joseph A. Multidimensional circuit synthesis and multivariable dilation theory. (English) Zbl 1219.47025 Multidimensional Syst. Signal Process. 22, No. 1-3, 27-44 (2011). Reviewer: Trieu Le (Toledo) MSC: 47A56 47N70 47A40 47A20 PDF BibTeX XML Cite \textit{J. A. Ball}, Multidimensional Syst. Signal Process. 22, No. 1--3, 27--44 (2011; Zbl 1219.47025) Full Text: DOI
Dmytryshyn, A. R. Miniversal deformations and Darboux theorem. (English) Zbl 1224.15072 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 4, 20-22 (2010). MSC: 15B57 53D55 PDF BibTeX XML Cite \textit{A. R. Dmytryshyn}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2010, No. 4, 20--22 (2010; Zbl 1224.15072)
Ragnisco, Orlando; Zullo, Federico Bäcklund transformations as exact integrable time discretizations for the trigonometric Gaudin model. (English) Zbl 1203.82027 J. Phys. A, Math. Theor. 43, No. 43, Article ID 434029, 14 p. (2010). MSC: 82B20 37K35 82D40 37N20 PDF BibTeX XML Cite \textit{O. Ragnisco} and \textit{F. Zullo}, J. Phys. A, Math. Theor. 43, No. 43, Article ID 434029, 14 p. (2010; Zbl 1203.82027) Full Text: DOI
Bultheel, Adhemar; Lasarow, Andreas Schur-Nevanlinna-Potapov sequences of rational matrix functions. (English) Zbl 1222.47017 J. Comput. Appl. Math. 235, No. 4, 927-949 (2010). Reviewer: Birgit Jacob (Wuppertal) MSC: 47A56 42C05 30E05 PDF BibTeX XML Cite \textit{A. Bultheel} and \textit{A. Lasarow}, J. Comput. Appl. Math. 235, No. 4, 927--949 (2010; Zbl 1222.47017) Full Text: DOI
Woerdeman, Hugo J. A general Christoffel-Darboux type formula. (English) Zbl 1217.65080 Integral Equations Oper. Theory 67, No. 2, 203-213 (2010). Reviewer: Liu Xinguo (Qingdao) MSC: 65F30 47B35 47A56 PDF BibTeX XML Cite \textit{H. J. Woerdeman}, Integral Equations Oper. Theory 67, No. 2, 203--213 (2010; Zbl 1217.65080) Full Text: DOI
Delvaux, Steven Average characteristic polynomials for multiple orthogonal polynomial ensembles. (English) Zbl 1202.42047 J. Approx. Theory 162, No. 5, 1033-1067 (2010). MSC: 42C05 PDF BibTeX XML Cite \textit{S. Delvaux}, J. Approx. Theory 162, No. 5, 1033--1067 (2010; Zbl 1202.42047) Full Text: DOI arXiv
Cheng, Zhanglin; Zhang, Xiaopeng Estimating differential quantities from point cloud based on a linear fitting of normal vectors. (English) Zbl 1185.65034 Sci. China, Ser. F 52, No. 3, 431-444 (2009). MSC: 65D18 68U05 65D10 PDF BibTeX XML Cite \textit{Z. Cheng} and \textit{X. Zhang}, Sci. China, Ser. F 52, No. 3, 431--444 (2009; Zbl 1185.65034) Full Text: DOI
Cieśliński, Jan L. Algebraic construction of the Darboux matrix revisited. (English) Zbl 1193.37096 J. Phys. A, Math. Theor. 42, No. 40, Article ID 404003, 40 p. (2009). Reviewer: Ti-Jun Xiao (Fudan) MSC: 37K35 37K30 35Q53 22E67 PDF BibTeX XML Cite \textit{J. L. Cieśliński}, J. Phys. A, Math. Theor. 42, No. 40, Article ID 404003, 40 p. (2009; Zbl 1193.37096) Full Text: DOI arXiv
Baik, Jinho On the Christoffel-Darboux kernel for random Hermitian matrices with external source. (English) Zbl 1187.15035 Comput. Methods Funct. Theory 9, No. 2, 455-471 (2009). Reviewer: Václav Burjan (Praha) MSC: 15B52 42C05 15B57 15A18 PDF BibTeX XML Cite \textit{J. Baik}, Comput. Methods Funct. Theory 9, No. 2, 455--471 (2009; Zbl 1187.15035) Full Text: DOI Link arXiv
Gutshabash, E. Sh.; Kulish, P. P. Discrete symmetries, Darboux transformation, and exact solutions of the Wess-Zumino-Novikov-Witten model. (English. Russian original) Zbl 1179.35268 J. Math. Sci., New York 158, No. 6, 845-852 (2009); translation from Zap. Nauchn. Semin. POMI 360, 139-152 (2008). MSC: 35Q51 35A30 35C08 37K10 37K35 35B06 PDF BibTeX XML Cite \textit{E. Sh. Gutshabash} and \textit{P. P. Kulish}, J. Math. Sci., New York 158, No. 6, 845--852 (2009; Zbl 1179.35268); translation from Zap. Nauchn. Semin. POMI 360, 139--152 (2008) Full Text: DOI
Aktosun, Tuncay; van der Mee, Cornelis A unified approach to Darboux transformations. (English) Zbl 1185.45006 Inverse Probl. 25, No. 10, Article ID 105003, 22 p. (2009). Reviewer: Anatoly Filip Grishin (Khar’kov) MSC: 45F15 45D05 PDF BibTeX XML Cite \textit{T. Aktosun} and \textit{C. van der Mee}, Inverse Probl. 25, No. 10, Article ID 105003, 22 p. (2009; Zbl 1185.45006) Full Text: DOI
Gilson, C. R.; Nimmo, J. J. C.; Sooman, C. M. Matrix solutions of a noncommutative KP equation and a noncommutative mKP equation. (English. Russian original) Zbl 1179.35266 Theor. Math. Phys. 159, No. 3, 796-805 (2009); translation from Teor. Mat. Fiz. 159, No. 3, 448-458 (2009). MSC: 35Q51 35A30 35C05 35C08 PDF BibTeX XML Cite \textit{C. R. Gilson} et al., Theor. Math. Phys. 159, No. 3, 796--805 (2009; Zbl 1179.35266); translation from Teor. Mat. Fiz. 159, No. 3, 448--458 (2009) Full Text: DOI
Elouafi, Mohamed; Hadj, Ahmed Driss Aiat On the powers and the inverse of a tridiagonal matrix. (English) Zbl 1162.15301 Appl. Math. Comput. 211, No. 1, 137-141 (2009). MSC: 15A09 15A18 PDF BibTeX XML Cite \textit{M. Elouafi} and \textit{A. D. A. Hadj}, Appl. Math. Comput. 211, No. 1, 137--141 (2009; Zbl 1162.15301) Full Text: DOI
Miranian, L. Matrix valued orthogonal polynomials on the unit circle: Some extensions of the classical theory. (English) Zbl 1181.42029 Can. Math. Bull. 52, No. 1, 95-104 (2009). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDF BibTeX XML Cite \textit{L. Miranian}, Can. Math. Bull. 52, No. 1, 95--104 (2009; Zbl 1181.42029) Full Text: DOI
Fritzsche, Bernd; Kirstein, Bernd; Sakhnovich, Alexander L. On a new class of structured matrices related to the discrete skew-self-adjoint Dirac systems. (English) Zbl 1176.15018 Electron. J. Linear Algebra 17, 473-486 (2008). Reviewer: Sheng Chen (Harbin) MSC: 15A24 15A09 39A12 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., Electron. J. Linear Algebra 17, 473--486 (2008; Zbl 1176.15018) Full Text: DOI EMIS EuDML
Degasperis, A.; Lombardo, S. Darboux construction of solutions of integrable PDEs with nonvanishing boundary values. (English) Zbl 1162.35305 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 64-72 (2008). MSC: 35A22 35Q51 35Q58 PDF BibTeX XML Cite \textit{A. Degasperis} and \textit{S. Lombardo}, in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 64--72 (2008; Zbl 1162.35305)
Sakhnovich, Alexander Bäcklund-Darboux transformation for non-isospectral canonical system and Riemann-Hilbert problem. (English) Zbl 1136.37040 SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 054, 11 p. (2007). MSC: 37K35 30E25 34A55 35A30 35Q15 47N20 PDF BibTeX XML Cite \textit{A. Sakhnovich}, SIGMA, Symmetry Integrability Geom. Methods Appl. 3, Paper 054, 11 p. (2007; Zbl 1136.37040) Full Text: DOI EMIS EuDML arXiv
Leble, S. B. Dressing method in matter+radiation quantum models. (English. Russian original) Zbl 1134.81438 Theor. Math. Phys. 152, No. 1, 977-990 (2007); translation from Teor. Mat. Fiz. 152, No. 1, 118-132 (2007). MSC: 81V80 35A22 PDF BibTeX XML Cite \textit{S. B. Leble}, Theor. Math. Phys. 152, No. 1, 977--990 (2007; Zbl 1134.81438); translation from Teor. Mat. Fiz. 152, No. 1, 118--132 (2007) Full Text: DOI
Bueno, María I.; Dopico, Froilán M. A more accurate algorithm for computing the Christoffel transformation. (English) Zbl 1120.65050 J. Comput. Appl. Math. 205, No. 1, 567-582 (2007). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F30 65G50 65F35 42C05 PDF BibTeX XML Cite \textit{M. I. Bueno} and \textit{F. M. Dopico}, J. Comput. Appl. Math. 205, No. 1, 567--582 (2007; Zbl 1120.65050) Full Text: DOI
Lasarow, Andreas Dual pairs of orthogonal systems of rational matrix-valued functions on the unit circle. (English) Zbl 1213.42093 Analysis, München 26, No. 2, 209-244 (2006). MSC: 42C05 43A85 47A56 PDF BibTeX XML Cite \textit{A. Lasarow}, Analysis, München 26, No. 2, 209--244 (2006; Zbl 1213.42093) Full Text: DOI
Rosengren, Hjalmar Multivariable Christoffel-Darboux kernels and characteristic polynomials of random hermitian matrices. (English) Zbl 1132.15008 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 085, 12 p. (2006). MSC: 15A15 15B52 42C05 PDF BibTeX XML Cite \textit{H. Rosengren}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 085, 12 p. (2006; Zbl 1132.15008) Full Text: DOI EMIS EuDML arXiv
Lasarow, Andreas Dual Szegő pairs of sequences of rational matrix-valued functions. (English) Zbl 1121.42016 Int. J. Math. Math. Sci. 2006, No. 5, 23723, 37 p. (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 47A56 PDF BibTeX XML Cite \textit{A. Lasarow}, Int. J. Math. Math. Sci. 2006, No. 5, 23723, 37 p. (2006; Zbl 1121.42016) Full Text: DOI EuDML
Bultheel, Adhemar; González-Vera, Pablo; Hendriksen, Erik; Njåstad, Olav Orthogonal rational functions on the unit circle: from the scalar to the matrix case. (English) Zbl 1142.42010 Marcellán, Francisco (ed.) et al., Orthogonal polynomials and special functions. Computation and applications. Lecture notes of the 5th European summer school, Madrid, Laganés, Spain, July 8–18, 2004. Berlin: Springer (ISBN 3-540-31062-2/pbk). Lecture Notes in Mathematics 1883, 187-228 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 30E05 41A55 65D32 PDF BibTeX XML Cite \textit{A. Bultheel} et al., Lect. Notes Math. 1883, 187--228 (2006; Zbl 1142.42010)
Fritzsche, Bernd; Kirstein, Bernd; Lasarow, Andreas Szegő pairs of orthogonal rational matrix-valued functions on the unit circle. (English) Zbl 1120.42014 Langer, Matthias (ed.) et al., Operator theory and indefinite inner product spaces. Presented on the occasion of the retirement of Heinz Langer in the colloquium on operator theory, Vienna, March 2004. Basel: Birkhäuser (ISBN 3-7643-7515-9/hbk). Operator Theory: Advances and Applications 163, 163-189 (2006). Reviewer: Adhemar Bultheel (Leuven) MSC: 42C05 47A56 PDF BibTeX XML Cite \textit{B. Fritzsche} et al., Oper. Theory: Adv. Appl. 163, 163--189 (2006; Zbl 1120.42014)
Sakhnovich, Alexander Non-self-adjoint Dirac-type systems and related nonlinear equations: Wave functions, solutions, and explicit formulas. (English) Zbl 1105.47064 Integral Equations Oper. Theory 55, No. 1, 127-143 (2006). Reviewer: Matteo Franca (Ancona) MSC: 47N20 37K15 35Q55 34L40 47A55 47A48 35Q51 PDF BibTeX XML Cite \textit{A. Sakhnovich}, Integral Equations Oper. Theory 55, No. 1, 127--143 (2006; Zbl 1105.47064) Full Text: DOI
Bueno, M. I.; Marcellán, F. Polynomial perturbations of bilinear functionals and Hessenberg matrices. (English) Zbl 1134.42015 Linear Algebra Appl. 414, No. 1, 64-83 (2006). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. I. Bueno} and \textit{F. Marcellán}, Linear Algebra Appl. 414, No. 1, 64--83 (2006; Zbl 1134.42015) Full Text: DOI
Ciésliński, Jan L.; Biernacki, Waldemar A new approach to the Darboux-Bäcklund transformation versus the standard dressing method. (English) Zbl 1223.37082 J. Phys. A, Math. Gen. 38, No. 43, 9491-9501 (2005). MSC: 37K10 37K15 37K35 PDF BibTeX XML Cite \textit{J. L. Ciésliński} and \textit{W. Biernacki}, J. Phys. A, Math. Gen. 38, No. 43, 9491--9501 (2005; Zbl 1223.37082) Full Text: DOI
Ayari, M. Ali; Ayari, M. Iadh; Ayari, Sahbi Computation of the coefficients of Riccati matrix equations for integrable PDEs. (English) Zbl 1073.65527 Far East J. Appl. Math. 18, No. 1, 39-57 (2005). MSC: 65F30 65Y15 15-04 15A24 37K35 PDF BibTeX XML Cite \textit{M. A. Ayari} et al., Far East J. Appl. Math. 18, No. 1, 39--57 (2005; Zbl 1073.65527)
Mechenov, Alexander S. Pseudosolution of linear functional equations. Parameters estimation of linear functional relationships. (English) Zbl 1077.62052 Mathematics and its Applications 576. New York, NY: Springer (ISBN 0-387-24505-7/hbk). ix, 238 p. (2005). Reviewer: Yuehua Wu (Toronto) MSC: 62J05 62-02 65Q05 65R20 65-02 39B05 45A05 65C60 PDF BibTeX XML Cite \textit{A. S. Mechenov}, Pseudosolution of linear functional equations. Parameters estimation of linear functional relationships. New York, NY: Springer (2005; Zbl 1077.62052)
Durán, Antonio J.; López-Rodríguez, Pedro Orthogonal matrix polynomials. (English) Zbl 1100.42018 Álvarez-Nodarse, Renato (ed.) et al., Laredo lectures on orthogonal polynomials and special functions. Lectures from the summer school, Laredo, Spain, July 24–28, 2000. Hauppauge, NY: Nova Science Publishers (ISBN 1-59454-009-8 ). Advances in the Theory of Special Functions and Orthogonal Polynomials, 13-44 (2004). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 42C05 42-02 PDF BibTeX XML Cite \textit{A. J. Durán} and \textit{P. López-Rodríguez}, in: Laredo lectures on orthogonal polynomials and special functions. Lectures from the summer school, Laredo, Spain, July 24--28, 2000. Hauppauge, NY: Nova Science Publishers. 13--44 (2004; Zbl 1100.42018)
Bueno, M. Isabel; Dopico, Froilán M. Stability and sensivity of Darboux transformation without parameter. (English) Zbl 1065.65060 ETNA, Electron. Trans. Numer. Anal. 18, 101-136 (2004). MSC: 65F30 42C05 15A23 65F35 PDF BibTeX XML Cite \textit{M. I. Bueno} and \textit{F. M. Dopico}, ETNA, Electron. Trans. Numer. Anal. 18, 101--136 (2004; Zbl 1065.65060) Full Text: EMIS EuDML
Zheng, Zhong; He, Jingsong; Cheng, Yi The determinant representation of Darboux transforms for matrix AKNS hierarchy. (Chinese. English summary) Zbl 1061.35100 Chin. Ann. Math., Ser. A 25, No. 1, 79-88 (2004). MSC: 35Q51 37K35 37K10 15A15 PDF BibTeX XML Cite \textit{Z. Zheng} et al., Chin. Ann. Math., Ser. A 25, No. 1, 79--88 (2004; Zbl 1061.35100)
Bueno, M. I.; Marcellán, F. Darboux transformation and perturbation of linear functionals. (English) Zbl 1055.42016 Linear Algebra Appl. 384, 215-242 (2004). MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. I. Bueno} and \textit{F. Marcellán}, Linear Algebra Appl. 384, 215--242 (2004; Zbl 1055.42016) Full Text: DOI
Sydorenko, Yu. M. Factorization of matrix differential operators and Darboux-like transformations. (English) Zbl 1026.37060 Mat. Stud. 19, No. 2, 181-192 (2003). MSC: 37K15 PDF BibTeX XML Cite \textit{Yu. M. Sydorenko}, Mat. Stud. 19, No. 2, 181--192 (2003; Zbl 1026.37060)
Li, Xuemei; Yang, Yunping Single soliton solutions of the coupled nonlinear Schrödinger equations. (Chinese. English summary) Zbl 1045.35078 J. Zhengzhou Univ., Nat. Sci. Ed. 34, No. 3, 13-15 (2002). MSC: 35Q55 37K40 37K35 35Q51 PDF BibTeX XML Cite \textit{X. Li} and \textit{Y. Yang}, J. Zhengzhou Univ., Nat. Sci. Ed. 34, No. 3, 13--15 (2002; Zbl 1045.35078)
Harmer, M. S. Inverse scattering for the matrix Schrödinger operator and Schrödinger operator on graphs with general self-adjoint boundary conditions. (English) Zbl 1017.34085 ANZIAM J. 44, No. 1, 161-168 (2002). Reviewer: N.D.Sengupta (Mumbai) MSC: 34L25 34L40 PDF BibTeX XML Cite \textit{M. S. Harmer}, ANZIAM J. 44, No. 1, 161--168 (2002; Zbl 1017.34085) Full Text: DOI
Goncharenko, V. M. Multisoliton solutions of the matrix KdV equation. (English. Russian original) Zbl 0988.35144 Theor. Math. Phys. 126, No. 1, 81-91 (2001); translation from Teor. Mat. Fiz. 126, No. 1, 102-114 (2001). MSC: 35Q53 37K15 37K40 PDF BibTeX XML Cite \textit{V. M. Goncharenko}, Theor. Math. Phys. 126, No. 1, 81--91 (2001; Zbl 0988.35144); translation from Teor. Mat. Fiz. 126, No. 1, 102--114 (2001) Full Text: DOI
Biernacki, W.; Cieśliński, J. L. A compact form of the Darboux-Bäcklund transformation for some spectral problems in Clifford algebras. (English) Zbl 0970.15021 Phys. Lett., A 288, No. 3-4, 167-172 (2001). MSC: 15A66 PDF BibTeX XML Cite \textit{W. Biernacki} and \textit{J. L. Cieśliński}, Phys. Lett., A 288, No. 3--4, 167--172 (2001; Zbl 0970.15021) Full Text: DOI
Li, Xuemei; Zhou, Zigang Soliton solutions of the four-wave interaction equations. (English) Zbl 0981.35061 J. Zhengzhou Univ., Nat. Sci. Ed. 33, No. 1, 1-3 (2001). MSC: 35Q51 37K40 35C05 PDF BibTeX XML Cite \textit{X. Li} and \textit{Z. Zhou}, J. Zhengzhou Univ., Nat. Sci. Ed. 33, No. 1, 1--3 (2001; Zbl 0981.35061)
Czachor, Marek; Kuna, Maciej; Leble, Sergiej B.; Naudts, Jan Nonlinear von Neumann-type equations. (English) Zbl 1009.81017 Doebner, H.-D. (ed.) et al., Trends in quantum mechanics. Proceedings of the international symposium on new insights in quantum physics fundamentals, experimental results and theoretical directions, Goslar, Germany, August 31-September 3, 1998. Singapore: World Scientific. 209-226 (2000). MSC: 81Q05 35Q55 PDF BibTeX XML Cite \textit{M. Czachor} et al., in: Trends in quantum mechanics. Proceedings of the international symposium on new insights in quantum physics-fundamentals, experimental results and theoretical directions, Goslar, Germany, August 31--September 3, 1998. Singapore: World Scientific. 209--226 (2000; Zbl 1009.81017)
Kuna, Maciej; Czachor, Marek; Leble, Sergiej B. Nonlinear von Neumann-type equations: Darboux invariance and spectra. (English) Zbl 0936.35146 Phys. Lett., A 255, No. 1-2, 42-48 (1999). MSC: 35Q40 37K35 PDF BibTeX XML Cite \textit{M. Kuna} et al., Phys. Lett., A 255, No. 1--2, 42--48 (1999; Zbl 0936.35146) Full Text: DOI
Inoguchi, Jun-ichi Darboux transformations on timelike constant mean curvature surfaces. (English) Zbl 0980.53009 J. Geom. Phys. 32, No. 1, 57-78 (1999). Reviewer: Luis J.Alías (Murcia) MSC: 53A10 37K35 53B30 PDF BibTeX XML Cite \textit{J.-i. Inoguchi}, J. Geom. Phys. 32, No. 1, 57--78 (1999; Zbl 0980.53009) Full Text: DOI
Conte, Robert; Musette, Micheline; Grundland, A. Michel Bäcklund transformation of partial differential equations from the Painlevé-Gambier classification. II: Tzitzéica equation. (English) Zbl 0946.35086 J. Math. Phys. 40, No. 4, 2092-2106 (1999). MSC: 35Q53 37K35 35A30 37K10 PDF BibTeX XML Cite \textit{R. Conte} et al., J. Math. Phys. 40, No. 4, 2092--2106 (1999; Zbl 0946.35086) Full Text: DOI
Bracken, P.; Kamran, N. Matrix Calogero-Sutherland Hamiltonians and the multi-dimensional Darboux transformation. (English) Zbl 0930.35145 J. Geom. Phys. 30, No. 4, 283-294 (1999). MSC: 35Q40 37K35 81V70 PDF BibTeX XML Cite \textit{P. Bracken} and \textit{N. Kamran}, J. Geom. Phys. 30, No. 4, 283--294 (1999; Zbl 0930.35145) Full Text: DOI
Eynard, B. Correlation functions of eigenvalues of multi-matrix models, and the limit of a time-dependent matrix. (English) Zbl 0936.15019 J. Phys. A, Math. Gen. 31, No. 40, 8081-8102 (1998). Reviewer: Alexei Khorunzhy (Khar’kov) MSC: 15B52 33C90 PDF BibTeX XML Cite \textit{B. Eynard}, J. Phys. A, Math. Gen. 31, No. 40, 8081--8102 (1998; Zbl 0936.15019) Full Text: DOI arXiv
Goncharenko, V. M.; Veselov, A. P. Monodromy of matrix Schrödinger equations and Darboux transformations. (English) Zbl 0921.34077 J. Phys. A, Math. Gen. 31, No. 23, 5315-5326 (1998). Reviewer: V.Burjan (Praha) MSC: 34L40 81Q05 34A25 32G34 PDF BibTeX XML Cite \textit{V. M. Goncharenko} and \textit{A. P. Veselov}, J. Phys. A, Math. Gen. 31, No. 23, 5315--5326 (1998; Zbl 0921.34077) Full Text: DOI
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
Adler, M.; van Moerbeke, P. Toda-Darboux maps and vertex operators. (English) Zbl 0926.58022 Int. Math. Res. Not. 1998, No. 10, 489-511 (1998). Reviewer: V.A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 58J72 58J50 PDF BibTeX XML Cite \textit{M. Adler} and \textit{P. van Moerbeke}, Int. Math. Res. Not. 1998, No. 10, 489--511 (1998; Zbl 0926.58022) Full Text: DOI