Antonov, E. N.; Orlov, A. Yu. A new solvable two-matrix model and the BKP tau function. (English. Russian original) Zbl 07824547 Theor. Math. Phys. 217, No. 3, 1807-1820 (2023); translation from Teor. Mat. Fiz. 217, No. 3, 457-472 (2023). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{E. N. Antonov} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 217, No. 3, 1807--1820 (2023; Zbl 07824547); translation from Teor. Mat. Fiz. 217, No. 3, 457--472 (2023) Full Text: DOI
Geng, Lumin; Hu, Jianxun; Wu, Chao-Zhong On Lax equations of the two-component BKP hierarchy. (English) Zbl 1517.35274 Physica D 449, Article ID 133748, 10 p. (2023). MSC: 35S05 37K10 PDFBibTeX XMLCite \textit{L. Geng} et al., Physica D 449, Article ID 133748, 10 p. (2023; Zbl 1517.35274) Full Text: DOI
Ji, Ce; Wang, Zhiyuan; Yang, Chenglang Kac-Schwarz operators of type \(B\), quantum spectral curves, and spin Hurwitz numbers. (English) Zbl 1521.37072 J. Geom. Phys. 189, Article ID 104831, 20 p. (2023). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K10 37K25 37K20 PDFBibTeX XMLCite \textit{C. Ji} et al., J. Geom. Phys. 189, Article ID 104831, 20 p. (2023; Zbl 1521.37072) Full Text: DOI arXiv
Yang, Qianqian; Li, Chuanzhong Coupled KP and BKP hierarchies and the corresponding symmetric functions. (English. Russian original) Zbl 1516.37090 Theor. Math. Phys. 215, No. 1, 468-494 (2023); translation from Teor. Mat. Fiz. 215, No. 1, 16-46 (2023). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{Q. Yang} and \textit{C. Li}, Theor. Math. Phys. 215, No. 1, 468--494 (2023; Zbl 1516.37090); translation from Teor. Mat. Fiz. 215, No. 1, 16--46 (2023) Full Text: DOI
Wang, Zhiyuan; Yang, Chenglang Connected \((n, m)\)-point functions of diagonal 2-BKP tau-functions and spin double Hurwitz numbers. (English) Zbl 1512.37083 J. Math. Phys. 64, No. 4, Article ID 041702, 17 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K10 14H30 14N35 14H10 14N10 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{C. Yang}, J. Math. Phys. 64, No. 4, Article ID 041702, 17 p. (2023; Zbl 1512.37083) Full Text: DOI arXiv
Huang, Fang; Li, Chuanzhong Supersymmetric Schur Q-functions and super BKP hierarchy. (English) Zbl 1506.05210 Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 1, 18 p. (2023). MSC: 05E05 17B10 17B69 37K06 37K10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{C. Li}, Adv. Appl. Clifford Algebr. 33, No. 1, Paper No. 1, 18 p. (2023; Zbl 1506.05210) Full Text: DOI
Alexandrov, Alexander Generalized Brézin-Gross-Witten tau-function as a hypergeometric solution of the BKP hierarchy. (English) Zbl 1509.14105 Adv. Math. 412, Article ID 108809, 36 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14N10 37K10 17B80 81R10 PDFBibTeX XMLCite \textit{A. Alexandrov}, Adv. Math. 412, Article ID 108809, 36 p. (2023; Zbl 1509.14105) Full Text: DOI arXiv
Cheng, Li; Ma, Wen-Xiu Framework of extended BKP equations possessing \(N\)-wave solutions in \((2+1)\)-dimensions. (English) Zbl 07787261 Math. Methods Appl. Sci. 45, No. 2, 749-760 (2022). MSC: 35Q51 35Q53 37K40 PDFBibTeX XMLCite \textit{L. Cheng} and \textit{W.-X. Ma}, Math. Methods Appl. Sci. 45, No. 2, 749--760 (2022; Zbl 07787261) Full Text: DOI
Bonzom, Valentin; Chapuy, Guillaume; Dołęga, Maciej Enumeration of non-oriented maps via integrability. (English) Zbl 1504.05137 Algebr. Comb. 5, No. 6, 1363-1390 (2022). MSC: 05C30 05A15 37K10 PDFBibTeX XMLCite \textit{V. Bonzom} et al., Algebr. Comb. 5, No. 6, 1363--1390 (2022; Zbl 1504.05137) Full Text: DOI arXiv
van de Leur, Johan BKP tau-functions as square roots of KP tau-functions. (English) Zbl 1499.37111 J. Phys. A, Math. Theor. 55, No. 1, Article ID 015202, 20 p. (2022). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{J. van de Leur}, J. Phys. A, Math. Theor. 55, No. 1, Article ID 015202, 20 p. (2022; Zbl 1499.37111) Full Text: DOI arXiv
Huang, Fang; Li, Chuanzhong Symplectic and supersymmetric Schur Q-functions, universal characters and integrable hierarchies. (English) Zbl 1497.05261 Anal. Math. Phys. 12, No. 4, Paper No. 99, 26 p. (2022). Reviewer: Andrés R. Vindas Meléndez (Berkeley) MSC: 05E05 17B69 37K10 PDFBibTeX XMLCite \textit{F. Huang} and \textit{C. Li}, Anal. Math. Phys. 12, No. 4, Paper No. 99, 26 p. (2022; Zbl 1497.05261) Full Text: DOI
Wang, Zhiyuan; Yang, Chenglang BKP hierarchy, affine coordinates, and a formula for connected bosonic \(n\)-point functions. (English) Zbl 1521.37076 Lett. Math. Phys. 112, No. 3, Paper No. 62, 42 p. (2022). MSC: 37K10 37K20 53D45 PDFBibTeX XMLCite \textit{Z. Wang} and \textit{C. Yang}, Lett. Math. Phys. 112, No. 3, Paper No. 62, 42 p. (2022; Zbl 1521.37076) Full Text: DOI arXiv
Liu, Xiaobo; Yang, Chenglang Q-polynomial expansion for Brézin-Gross-Witten tau-function. (English) Zbl 1515.33014 Adv. Math. 404, Part B, Article ID 108456, 28 p. (2022). MSC: 33C80 14N10 37K10 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Yang}, Adv. Math. 404, Part B, Article ID 108456, 28 p. (2022; Zbl 1515.33014) Full Text: DOI arXiv
Li, Chuanzhong Plethystic B-type KP and universal character hierarchies. (English) Zbl 1497.37087 J. Algebr. Comb. 55, No. 3, 691-714 (2022). MSC: 37K30 37K10 81T10 PDFBibTeX XMLCite \textit{C. Li}, J. Algebr. Comb. 55, No. 3, 691--714 (2022; Zbl 1497.37087) Full Text: DOI
Li, Chuanzhong \(N = 2\) supersymmetric BKP hierarchy with \(SW_{1+\infty}\) symmetries and its multicomponent generalization. (English) Zbl 07414555 Phys. Lett., B 820, Article ID 136563, 9 p. (2021). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{C. Li}, Phys. Lett., B 820, Article ID 136563, 9 p. (2021; Zbl 07414555) Full Text: DOI
Alexandrov, Alexander; Milanov, Todor Matrix model for the total descendant potential of a simple singularity of type \(D\). (English) Zbl 1481.37081 Lett. Math. Phys. 111, No. 4, Paper No. 88, 48 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K20 37K10 14N10 14J10 14J15 81T32 PDFBibTeX XMLCite \textit{A. Alexandrov} and \textit{T. Milanov}, Lett. Math. Phys. 111, No. 4, Paper No. 88, 48 p. (2021; Zbl 1481.37081) Full Text: DOI arXiv
Natanzon, Sergey M.; Orlov, Aleksandr Yu. Hurwitz numbers from matrix integrals over Gaussian measure. (English) Zbl 1470.05018 Novikov, Sergey (ed.) et al., Integrability, quantization, and geometry I. Integrable systems. Dedicated to the memory of Boris Dubrovin 1950–2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 103, Part 1, 337-375 (2021). MSC: 05A15 14H81 14N10 17B80 35Q53 37K10 81T18 35Q51 35Q55 37K20 37K30 81T70 PDFBibTeX XMLCite \textit{S. M. Natanzon} and \textit{A. Yu. Orlov}, Proc. Symp. Pure Math. 103, 337--375 (2021; Zbl 1470.05018) Full Text: arXiv
Li, Chuanzhong Extensions on two-component BKP and D type Drinfeld-Sokolov hierarchies. (English) Zbl 1471.37062 Anal. Math. Phys. 11, No. 2, Paper No. 83, 16 p. (2021). MSC: 37K10 37K20 37K30 17B65 17B67 17B80 PDFBibTeX XMLCite \textit{C. Li}, Anal. Math. Phys. 11, No. 2, Paper No. 83, 16 p. (2021; Zbl 1471.37062) Full Text: DOI
Shou, Bao; Liu, Qiufang; Li, Chuanzhong Darboux transformations of noncommutative BKP and CKP hierarchies. (English) Zbl 07814636 Int. J. Geom. Methods Mod. Phys. 17, No. 11, Article ID 2050171, 15 p. (2020). MSC: 37K05 37K10 35Q53 PDFBibTeX XMLCite \textit{B. Shou} et al., Int. J. Geom. Methods Mod. Phys. 17, No. 11, Article ID 2050171, 15 p. (2020; Zbl 07814636) Full Text: DOI
Orlov, Aleksandr Yu. 2D Yang-Mills theory and tau functions. (English) Zbl 1481.37077 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 221-250 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K20 17B80 35Q51 81R12 14N10 35Q55 81T13 70S15 15B52 05A15 35Q53 37K30 PDFBibTeX XMLCite \textit{A. Yu. Orlov}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 221--250 (2020; Zbl 1481.37077) Full Text: DOI
Natanzon, S. M.; Orlov, A. Yu. Hurwitz numbers from Feynman diagrams. (English. Russian original) Zbl 1453.81052 Theor. Math. Phys. 204, No. 3, 1166-1194 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 396-429 (2020). MSC: 81T32 81T13 81T40 81T18 15B52 11M35 30F50 20G43 37K10 14D05 58K10 53A31 05C69 PDFBibTeX XMLCite \textit{S. M. Natanzon} and \textit{A. Yu. Orlov}, Theor. Math. Phys. 204, No. 3, 1166--1194 (2020; Zbl 1453.81052); translation from Teor. Mat. Fiz. 204, No. 3, 396--429 (2020) Full Text: DOI arXiv
Li, Chuanzhong Strongly coupled B-type universal characters and hierarchies. (English. Russian original) Zbl 1445.37047 Theor. Math. Phys. 201, No. 3, 1732-1741 (2019); translation from Teor. Mat. Fiz. 201, No. 3, 371-381 (2019). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{C. Li}, Theor. Math. Phys. 201, No. 3, 1732--1741 (2019; Zbl 1445.37047); translation from Teor. Mat. Fiz. 201, No. 3, 371--381 (2019) Full Text: DOI
Rozhkovskaya, Natasha Multiparameter Schur \(Q\)-functions are solutions of the BKP hierarchy. (English) Zbl 1423.05194 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 065, 14 p. (2019). MSC: 05E05 17B65 17B69 11C20 PDFBibTeX XMLCite \textit{N. Rozhkovskaya}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 065, 14 p. (2019; Zbl 1423.05194) Full Text: DOI arXiv
Wang, Xiao-Li; Mei, Jian-Qin; Li, Min-Li; Yan, Zhao-Wen On generalized Lax equations of the Lax triple of the BKP and CKP hierarchies. (English) Zbl 1420.37089 J. Nonlinear Math. Phys. 24, No. 2, 171-182 (2017). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{X.-L. Wang} et al., J. Nonlinear Math. Phys. 24, No. 2, 171--182 (2017; Zbl 1420.37089) Full Text: DOI
Liu, Jingxin; Wu, Hongxia; Zeng, Yunbo On the integrable coupled generalization of dispersionless BKP hierarchy and its solutions. (Chinese. English summary) Zbl 1389.37042 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 2, 313-325 (2017). MSC: 37K10 PDFBibTeX XMLCite \textit{J. Liu} et al., Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 2, 313--325 (2017; Zbl 1389.37042)
Li, Chuanzhong Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries. (English) Zbl 1369.37071 J. Geom. Phys. 119, 103-111 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K05 37K10 37K20 37K30 PDFBibTeX XMLCite \textit{C. Li}, J. Geom. Phys. 119, 103--111 (2017; Zbl 1369.37071) Full Text: DOI arXiv
Li, Chuanzhong Darboux transformations of the supersymmetric BKP hierarchy. (English) Zbl 1420.37050 J. Nonlinear Math. Phys. 23, No. 3, 306-313 (2016). MSC: 37K05 37K10 37K20 PDFBibTeX XMLCite \textit{C. Li}, J. Nonlinear Math. Phys. 23, No. 3, 306--313 (2016; Zbl 1420.37050) Full Text: DOI
Shigyo, Yoko On the expansion coefficients of Tau-function of the BKP hierarchy. (English) Zbl 1343.37067 J. Phys. A, Math. Theor. 49, No. 29, Article ID 295201, 17 p. (2016). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{Y. Shigyo}, J. Phys. A, Math. Theor. 49, No. 29, Article ID 295201, 17 p. (2016; Zbl 1343.37067) Full Text: DOI arXiv
Chen, Junchao; Chen, Yong; Feng, Bao-Feng; Maruno, Ken-Ichi; Ohta, Yasuhiro An integrable semi-discretization of the coupled Yajima-Oikawa system. (English) Zbl 1343.37063 J. Phys. A, Math. Theor. 49, No. 16, Article ID 165201, 19 p. (2016). MSC: 37K10 35Q53 35Q55 39A12 35C08 PDFBibTeX XMLCite \textit{J. Chen} et al., J. Phys. A, Math. Theor. 49, No. 16, Article ID 165201, 19 p. (2016; Zbl 1343.37063) Full Text: DOI arXiv
Li, Chuanzhong Gauge transformation and symmetries of the commutative multicomponent BKP hierarchy. (English) Zbl 1343.37065 J. Phys. A, Math. Theor. 49, No. 1, Article ID 015203, 14 p. (2016). MSC: 37K10 PDFBibTeX XMLCite \textit{C. Li}, J. Phys. A, Math. Theor. 49, No. 1, Article ID 015203, 14 p. (2016; Zbl 1343.37065) Full Text: DOI arXiv
Lin, Runliang; Cao, Tiancheng; Liu, Xiaojun; Zeng, Yunbo Bilinear identities for an extended B-type Kadomtsev-Petviashvili hierarchy. (English. Russian original) Zbl 1339.37057 Theor. Math. Phys. 186, No. 3, 307-319 (2016); translation from Teor. Mat. Fiz. 186, No. 3, 357-370 (2016). MSC: 37K10 37K35 PDFBibTeX XMLCite \textit{R. Lin} et al., Theor. Math. Phys. 186, No. 3, 307--319 (2016; Zbl 1339.37057); translation from Teor. Mat. Fiz. 186, No. 3, 357--370 (2016) Full Text: DOI arXiv
Gao, Xu; Li, Chuan-Zhong; He, Jing-Song Addition formulae of discrete KP, \(q\)-KP and two-component BKP systems. (English) Zbl 1337.35127 Commun. Theor. Phys. 65, No. 4, 410-422 (2016). MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{X. Gao} et al., Commun. Theor. Phys. 65, No. 4, 410--422 (2016; Zbl 1337.35127) Full Text: DOI arXiv
Cheng, Jipeng; He, Jingsong The applications of the gauge transformation for the BKP hierarchy. (English) Zbl 1308.37031 J. Math. Anal. Appl. 410, No. 2, 989-1001 (2014). MSC: 37K10 PDFBibTeX XMLCite \textit{J. Cheng} and \textit{J. He}, J. Math. Anal. Appl. 410, No. 2, 989--1001 (2014; Zbl 1308.37031) Full Text: DOI arXiv
Li, Chuanzhong; He, Jingsong Quantum torus symmetry of the KP, KdV and BKP hierarchies. (English) Zbl 1302.37040 Lett. Math. Phys. 104, No. 11, 1407-1423 (2014). MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. He}, Lett. Math. Phys. 104, No. 11, 1407--1423 (2014; Zbl 1302.37040) Full Text: DOI arXiv
Li, Chuan-Zhong; He, Jing-Song; Su, Yu-Cai Block (or Hamiltonian) Lie symmetry of dispersionless \(D\)-type Drinfeld-Sokolov hierarchy. (English) Zbl 1288.37022 Commun. Theor. Phys. 61, No. 4, 431-435 (2014). MSC: 37K10 35Q51 PDFBibTeX XMLCite \textit{C.-Z. Li} et al., Commun. Theor. Phys. 61, No. 4, 431--435 (2014; Zbl 1288.37022) Full Text: DOI arXiv
Li, Maohua; Cheng, Jipeng; Li, Chuanzhong; He, Jingsong The recursion operators of the BKP hierarchy and the CKP hierarchy. (Chinese. English summary) Zbl 1488.37052 Sci. Sin., Math. 43, No. 5, 499-514 (2013). MSC: 37K10 PDFBibTeX XMLCite \textit{M. Li} et al., Sci. Sin., Math. 43, No. 5, 499--514 (2013; Zbl 1488.37052) Full Text: DOI arXiv
Kang, Yingli; Zhang, Yi; Jin, Ligang Soliton solution to BKP equation in Wronskian form. (English) Zbl 1334.35283 Appl. Math. Comput. 224, 250-258 (2013). MSC: 35Q53 35C08 PDFBibTeX XMLCite \textit{Y. Kang} et al., Appl. Math. Comput. 224, 250--258 (2013; Zbl 1334.35283) Full Text: DOI
Li, Chuanzhong; He, Jingsong Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies. (English) Zbl 1306.37078 J. Math. Phys. 54, No. 11, 113501, 14 p. (2013). Reviewer: Shigeki Matsutani (Kanagawa) MSC: 37K10 17B65 17B68 81R10 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. He}, J. Math. Phys. 54, No. 11, 113501, 14 p. (2013; Zbl 1306.37078) Full Text: DOI arXiv
Shigyo, Yoko On addition formulae of KP, mkp and BKP hierarchies. (English) Zbl 1271.14045 SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 035, 16 p. (2013). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 37K10 37K20 PDFBibTeX XMLCite \textit{Y. Shigyo}, SIGMA, Symmetry Integrability Geom. Methods Appl. 9, Paper 035, 16 p. (2013; Zbl 1271.14045) Full Text: DOI arXiv
Wu, Chao-Zhong \(R\)-matrices and Hamiltonian structures for certain Lax equations. (English) Zbl 1315.37046 Rev. Math. Phys. 25, No. 3, Article ID 1350005, 27 p. (2013). Reviewer: Willard Miller jun. (Minneapolis) MSC: 37K10 17B80 PDFBibTeX XMLCite \textit{C.-Z. Wu}, Rev. Math. Phys. 25, No. 3, Article ID 1350005, 27 p. (2013; Zbl 1315.37046) Full Text: DOI arXiv
Wu, Chao-Zhong From additional symmetries to linearization of Virasoro symmetries. (English) Zbl 1334.37077 Physica D 249, 25-37 (2013). MSC: 37K05 37K10 35S05 37K25 PDFBibTeX XMLCite \textit{C.-Z. Wu}, Physica D 249, 25--37 (2013; Zbl 1334.37077) Full Text: DOI arXiv
Elboree, Mohammed K. The Jacobi elliptic function method and its application for two component BKP hierarchy equations. (English) Zbl 1236.33038 Comput. Math. Appl. 62, No. 12, 4402-4414 (2011). MSC: 33E05 35Q53 PDFBibTeX XMLCite \textit{M. K. Elboree}, Comput. Math. Appl. 62, No. 12, 4402--4414 (2011; Zbl 1236.33038) Full Text: DOI
Tian, Kelei; He, Jingsong; Cheng, Jipeng; Cheng, Yi Additional symmetries of constrained CKP and BKP hierarchies. (English) Zbl 1217.37060 Sci. China, Math. 54, No. 2, 257-268 (2011). MSC: 37K10 37K05 37K35 17B80 PDFBibTeX XMLCite \textit{K. Tian} et al., Sci. China, Math. 54, No. 2, 257--268 (2011; Zbl 1217.37060) Full Text: DOI arXiv
Ogawa, Yuji Generalized \(Q\)-functions and UC hierarchy of B-type. (English) Zbl 1196.17012 Bourguignon, Jean-Pierre (ed.) et al., Noncommutativity and singularities. Proceedings of French-Japanese symposia held at IHÉS, Bures-sur-Yvette, France, November 20-23 and November 15–18, 2006. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-54-9/hbk). Advanced Studies in Pure Mathematics 55, 309-319 (2009). Reviewer: Chen Yong-Qing (Shenzhen) MSC: 17B10 05E05 37K10 PDFBibTeX XMLCite \textit{Y. Ogawa}, Adv. Stud. Pure Math. 55, 309--319 (2009; Zbl 1196.17012)
Shen, Hsin-Fu; Tu, Ming-Hsien On the string equation of the BKP hierarchy. (English) Zbl 1175.81164 Int. J. Mod. Phys. A 24, No. 22, 4193-4208 (2009). MSC: 81T30 81R12 37N20 PDFBibTeX XMLCite \textit{H.-F. Shen} and \textit{M.-H. Tu}, Int. J. Mod. Phys. A 24, No. 22, 4193--4208 (2009; Zbl 1175.81164) Full Text: DOI arXiv
Wu, Hong-Xia; Liu, Xiao-Jun; Zheng, Yun-Bo Two new multi-component BKP hierarchies. (English) Zbl 1179.37087 Commun. Theor. Phys. 51, No. 2, 193-199 (2009). Reviewer: Chuan-Fu Yang (Nanjing) MSC: 37K10 37K40 35Q51 PDFBibTeX XMLCite \textit{H.-X. Wu} et al., Commun. Theor. Phys. 51, No. 2, 193--199 (2009; Zbl 1179.37087) Full Text: DOI arXiv
Dimakis, Aristophanes; Müller-Hoissen, Folkert BKP and CKP revisited: The odd KP system. (English) Zbl 1173.35109 Inverse Probl. 25, No. 4, Article ID 045001, 33 p. (2009). Reviewer: Min Ho Lee (Cedar Falls) MSC: 35Q53 37K10 PDFBibTeX XMLCite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, Inverse Probl. 25, No. 4, Article ID 045001, 33 p. (2009; Zbl 1173.35109) Full Text: DOI arXiv
Tu, Ming-Hsien On the BKP hierarchy: Additional symmetries, Fay identity and Adler-Shiota-Van Moerbeke formula. (English) Zbl 1161.35505 Lett. Math. Phys. 81, No. 2, 93-105 (2007). MSC: 35Q58 37K10 PDFBibTeX XMLCite \textit{M.-H. Tu}, Lett. Math. Phys. 81, No. 2, 93--105 (2007; Zbl 1161.35505) Full Text: DOI arXiv
Takasaki, Kanehisa Dispersionless Hirota equations of two-component BKP hierarchy. (English) Zbl 1152.37339 SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 057, 22 p. (2006). MSC: 37K10 35Q58 PDFBibTeX XMLCite \textit{K. Takasaki}, SIGMA, Symmetry Integrability Geom. Methods Appl. 2, Paper 057, 22 p. (2006; Zbl 1152.37339) Full Text: DOI arXiv EuDML EMIS
Nimmi, J. J. C.; Orlov, A. Yu. A relationship between rational and multi-soliton solutions of the BKP hierarchy. (English) Zbl 1076.37063 Glasg. Math. J. 47A, 149-168 (2005). MSC: 37K20 35Q53 35Q51 37K40 PDFBibTeX XMLCite \textit{J. J. C. Nimmi} and \textit{A. Yu. Orlov}, Glasg. Math. J. 47A, 149--168 (2005; Zbl 1076.37063) Full Text: DOI arXiv
Liu, Qingping; Mañas, M. On the Pfaffian solutions of the BKP hierarchy. (Chinese. English summary) Zbl 1017.37035 Chin. Ann. Math., Ser. A 23, No. 6, 693-698 (2002). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{M. Mañas}, Chin. Ann. Math., Ser. A 23, No. 6, 693--698 (2002; Zbl 1017.37035)
Loris, Ignace Dimensional reductions of BKP and CKP hierarchies. (English) Zbl 0988.37087 J. Phys. A, Math. Gen. 34, No. 16, 3447-3459 (2001). Reviewer: Samir Musayev (Baku) MSC: 37K10 35Q53 35Q55 PDFBibTeX XMLCite \textit{I. Loris}, J. Phys. A, Math. Gen. 34, No. 16, 3447--3459 (2001; Zbl 0988.37087) Full Text: DOI
Tam, Hon-Wah; Hu, Xing-Biao; Wang, Dao-Liu Two integrable coupled nonlinear systems. (English) Zbl 0944.35077 J. Phys. Soc. Japan 68, No. 2, 369-379 (1999). MSC: 35Q53 37K10 37-04 PDFBibTeX XMLCite \textit{H.-W. Tam} et al., J. Phys. Soc. Japan 68, No. 2, 369--379 (1999; Zbl 0944.35077) Full Text: DOI
Doliwa, Adam; Mañas, Manuel; Martínez Alonso, Luis Generating quadrilateral and circular lattices in KP theory. (English) Zbl 0939.37042 Phys. Lett., A 262, No. 4-5, 330-343 (1999). MSC: 37K10 35Q53 37N20 PDFBibTeX XMLCite \textit{A. Doliwa} et al., Phys. Lett., A 262, No. 4--5, 330--343 (1999; Zbl 0939.37042) Full Text: DOI arXiv
Loris, Ignace; Willox, Ralph Symmetry reductions of the BKP hierarchy. (English) Zbl 0985.37075 J. Math. Phys. 40, No. 3, 1420-1431 (1999). Reviewer: Messoud Efendiev (Berlin) MSC: 37K10 37K05 35Q53 PDFBibTeX XMLCite \textit{I. Loris} and \textit{R. Willox}, J. Math. Phys. 40, No. 3, 1420--1431 (1999; Zbl 0985.37075) Full Text: DOI
Plaza Martín, Francisco J. Prym varieties and the infinite Grassmannian. (English) Zbl 0936.14019 Int. J. Math. 9, No. 1, 75-93 (1998). MSC: 14H40 35Q53 14M15 PDFBibTeX XMLCite \textit{F. J. Plaza Martín}, Int. J. Math. 9, No. 1, 75--93 (1998; Zbl 0936.14019) Full Text: DOI arXiv
van de Leur, Johan The \(n\)th reduced BKP hierarchy, the string equation and \(BW_{1+\infty}\)-constraints. (English) Zbl 0866.17017 Acta Appl. Math. 44, No. 1-2, 185-206 (1996). Reviewer: H.Yamada (Sapporo) MSC: 17B65 35Q58 17B68 37J35 37K10 PDFBibTeX XMLCite \textit{J. van de Leur}, Acta Appl. Math. 44, No. 1--2, 185--206 (1996; Zbl 0866.17017) Full Text: DOI arXiv
Tsujimoto, Satoshi; Hirota, Ryogo Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form. (English) Zbl 0948.39007 J. Phys. Soc. Japan 65, No. 9, 2797-2806 (1996). MSC: 39A12 37K10 37K40 PDFBibTeX XMLCite \textit{S. Tsujimoto} and \textit{R. Hirota}, J. Phys. Soc. Japan 65, No. 9, 2797--2806 (1996; Zbl 0948.39007) Full Text: DOI
Nakajima, Tatsuhiro; Yamada, Hirofumi Basic representations of \(A_{2l}^{(2)}\) and \(D_{l+1}^{(2)}\) and the polynomial solutions to the reduced BKP hierarchies. (English) Zbl 0834.17040 J. Phys. A, Math. Gen. 27, No. 6, L171-L176 (1994). MSC: 17B67 05E05 35Q58 37B99 PDFBibTeX XMLCite \textit{T. Nakajima} and \textit{H. Yamada}, J. Phys. A, Math. Gen. 27, No. 6, L171--L176 (1994; Zbl 0834.17040) Full Text: DOI arXiv
Yu, Feng Bi-Hamiltonian structure of super KP hierarchy. (English) Zbl 0764.58034 J. Math. Phys. 33, No. 9, 3180-3189 (1992). MSC: 58J90 35S99 58A40 35Q53 37N99 PDFBibTeX XMLCite \textit{F. Yu}, J. Math. Phys. 33, No. 9, 3180--3189 (1992; Zbl 0764.58034) Full Text: DOI arXiv
Cheng, Yi Constraints of the Kadomtsev-Petviashvili hierarchy. (English) Zbl 0761.35101 J. Math. Phys. 33, No. 11, 3774-3782 (1992). MSC: 35Q55 37J35 37K10 37C80 PDFBibTeX XMLCite \textit{Y. Cheng}, J. Math. Phys. 33, No. 11, 3774--3782 (1992; Zbl 0761.35101) Full Text: DOI
Shiota, Takahiro Prym varieties and soliton equations. (English) Zbl 0766.14020 Infinite dimensional Lie algebras and groups, Proc. Conf., Marseille/Fr. 1988, Adv. Ser. Math. Phys. 7, 407-448 (1989). Reviewer: M.Schlichenmaier (Mannheim) MSC: 14H42 14K99 35Q53 PDFBibTeX XMLCite \textit{T. Shiota}, Adv. Ser. Math. Phys. 7, 407--448 (1989; Zbl 0766.14020)
Date, Etsuro; Jimbo, Michio; Kashiwara, Masaki; Miwa, Tetsuji Quasi-periodic solutions of the orthogonal KP equation. Translation groups for soliton equations. V. (English) Zbl 0571.35101 Publ. Res. Inst. Math. Sci. 18, 1111-1119 (1982). Reviewer: L.-Y.Shih MSC: 35Q99 14H05 14L10 14G10 PDFBibTeX XMLCite \textit{E. Date} et al., Publ. Res. Inst. Math. Sci. 18, 1111--1119 (1982; Zbl 0571.35101) Full Text: DOI
Date, E.; Jimbo, M.; Kashiwara, M.; Miwa, T. Transformation groups of soliton equations. IV: A new hierarchy of soliton equations of KP-type. (English) Zbl 0571.35100 Physica D 4, No. 3, 343-365 (1982). MSC: 35Q99 17B65 22E65 PDFBibTeX XMLCite \textit{E. Date} et al., Physica D 4, No. 3, 343--365 (1982; Zbl 0571.35100) Full Text: DOI