Zhang, Minghe; Weng, Weifang; Yan, Zhenya Interactions of fractional \(N\)-solitons with anomalous dispersions for the integrable combined fractional higher-order mKdV hierarchy. (English) Zbl 07642871 Physica D 444, Article ID 133614, 13 p. (2023). MSC: 35C08 35R11 35Q53 PDF BibTeX XML Cite \textit{M. Zhang} et al., Physica D 444, Article ID 133614, 13 p. (2023; Zbl 07642871) Full Text: DOI arXiv OpenURL
Ma, Wen-Xiu A multi-component integrable hierarchy and its integrable reductions. (English) Zbl 07642368 Phys. Lett., A 457, Article ID 128575, 6 p. (2023). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{W.-X. Ma}, Phys. Lett., A 457, Article ID 128575, 6 p. (2023; Zbl 07642368) Full Text: DOI OpenURL
Wang, Fudong; Ma, Wen-Xiu A \(\bar{\partial}\)-steepest descent method for oscillatory Riemann-Hilbert problems. (English) Zbl 1486.37035 J. Nonlinear Sci. 32, No. 1, Paper No. 10, 46 p. (2022). MSC: 37K10 37K20 35Q15 35C20 PDF BibTeX XML Cite \textit{F. Wang} and \textit{W.-X. Ma}, J. Nonlinear Sci. 32, No. 1, Paper No. 10, 46 p. (2022; Zbl 1486.37035) Full Text: DOI OpenURL
Wang, Haifeng; Zhang, Yufeng A new multi-component integrable coupling and its application to isospectral and nonisospectral problems. (English) Zbl 1485.37065 Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106075, 15 p. (2022). MSC: 37K10 37K30 35Q51 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 105, Article ID 106075, 15 p. (2022; Zbl 1485.37065) Full Text: DOI OpenURL
Gerdjikov, V. S.; Mladenov, D. M.; Stefanov, A. A.; Varbev, S. K. The mKdV-type equations related to \(A_5^{(1)}\) and \(A_5^{(2)}\) Kac-Moody algebras. (English. Russian original) Zbl 07364291 Theor. Math. Phys. 207, No. 2, 604-625 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 237-260 (2021). MSC: 37K10 37K30 17B67 17B80 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 207, No. 2, 604--625 (2021; Zbl 07364291); translation from Teor. Mat. Fiz. 207, No. 2, 237--260 (2021) Full Text: DOI OpenURL
Gerdjikov, V. S.; Stefanov, A. A.; Iliev, I. D.; Boyadjiev, G. P.; Smirnov, A. O.; Matveev, V. B.; Pavlov, M. V. Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\). (English. Russian original) Zbl 1456.37072 Theor. Math. Phys. 204, No. 3, 1110-1129 (2020); translation from Teor. Mat. Fiz. 204, No. 3, 332-354 (2020). MSC: 37K10 37K20 35Q53 17B67 PDF BibTeX XML Cite \textit{V. S. Gerdjikov} et al., Theor. Math. Phys. 204, No. 3, 1110--1129 (2020; Zbl 1456.37072); translation from Teor. Mat. Fiz. 204, No. 3, 332--354 (2020) Full Text: DOI arXiv OpenURL
Wei, Hanyu; Zhang, Yan; Xia, Tiecheng Generating new super dynamical systems in \( (2 + 1)\)-dimensional space. (English) Zbl 1449.35389 Chin. J. Eng. Math. 36, No. 6, 708-720 (2019). MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{H. Wei} et al., Chin. J. Eng. Math. 36, No. 6, 708--720 (2019; Zbl 1449.35389) Full Text: DOI OpenURL
Wei, Hanyu; Xia, Tiecheng A integrable generalized super-NLS-mKdV hierarchy, its self-consistent sources, and conservation laws. (English) Zbl 1406.35373 Adv. Math. Phys. 2018, Article ID 1396794, 9 p. (2018). MSC: 35Q55 35Q53 17A70 37K10 PDF BibTeX XML Cite \textit{H. Wei} and \textit{T. Xia}, Adv. Math. Phys. 2018, Article ID 1396794, 9 p. (2018; Zbl 1406.35373) Full Text: DOI OpenURL
Carillo, Sandra; Lo Schiavo, Mauro; Porten, Egmont; Schiebold, Cornelia A novel noncommutative KdV-type equation, its recursion operator, and solitons. (English) Zbl 1392.35256 J. Math. Phys. 59, No. 4, 043501, 14 p. (2018). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q53 35C08 37K10 35K35 35B06 PDF BibTeX XML Cite \textit{S. Carillo} et al., J. Math. Phys. 59, No. 4, 043501, 14 p. (2018; Zbl 1392.35256) Full Text: DOI arXiv OpenURL
Dong, Huan He; Guo, Bao Yong; Yin, Bao Shu Generalized fractional supertrace identity for Hamiltonian structure of NLS-MKdV hierarchy with self-consistent sources. (English) Zbl 1339.37051 Anal. Math. Phys. 6, No. 2, 199-209 (2016). MSC: 37K10 35Q53 35R11 17B80 PDF BibTeX XML Cite \textit{H. H. Dong} et al., Anal. Math. Phys. 6, No. 2, 199--209 (2016; Zbl 1339.37051) Full Text: DOI OpenURL
Li, Q.; Zhang, J. B.; Chen, D. Y. The eigenfunctions and exact solutions of discrete mKdV hierarchy with self-consistent sources via the inverse scattering transform. (English) Zbl 1488.37060 Adv. Appl. Math. Mech. 7, No. 5, 663-674 (2015). MSC: 37K60 37K15 39A14 39A36 PDF BibTeX XML Cite \textit{Q. Li} et al., Adv. Appl. Math. Mech. 7, No. 5, 663--674 (2015; Zbl 1488.37060) Full Text: DOI OpenURL
Dong, Huanhe; Zhao, Kun; Yang, Hongwei; Li, Yuqing Generalised (2+1)-dimensional super mKdV hierarchy for integrable systems in soliton theory. (English) Zbl 1457.35054 East Asian J. Appl. Math. 5, No. 3, 256-272 (2015). MSC: 35Q53 35Q51 37K06 37K10 37K35 35C06 17B80 PDF BibTeX XML Cite \textit{H. Dong} et al., East Asian J. Appl. Math. 5, No. 3, 256--272 (2015; Zbl 1457.35054) Full Text: DOI OpenURL
Ruy, Danilo V. On the mKdV-Liouville hierarchy and its self-similarity reduction. (English) Zbl 1306.37081 Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 113-120 (2015). MSC: 37K10 37K35 37K40 PDF BibTeX XML Cite \textit{D. V. Ruy}, Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 113--120 (2015; Zbl 1306.37081) Full Text: DOI arXiv OpenURL
Li, Qi; Duan, Qiu-Yuan; Chen, Deng-Yuan; Zhang, Jian-Bing Exact solutions of Ablowitz-Ladik hierarchy with self-consistent sources revisited and reductions. (English) Zbl 1294.37028 Commun. Theor. Phys. 62, No. 1, 5-12 (2014). MSC: 37K10 35C08 35Q51 35Q53 35Q55 PDF BibTeX XML Cite \textit{Q. Li} et al., Commun. Theor. Phys. 62, No. 1, 5--12 (2014; Zbl 1294.37028) Full Text: DOI OpenURL
Wei, Hanyu; Xia, Tiecheng; Wang, Hui The integrable couplings of the generalized coupled mKdV hierarchy and its Hamiltonian structures. (English) Zbl 1289.35302 Ann. Differ. Equations 29, No. 2, 222-229 (2013). MSC: 35Q53 37K05 37K10 PDF BibTeX XML Cite \textit{H. Wei} et al., Ann. Differ. Equations 29, No. 2, 222--229 (2013; Zbl 1289.35302) OpenURL
Geng, Xianguo; Gong, Dong Quasi-periodic solutions of the discrete mKdV hierarchy. (English) Zbl 1282.35331 Int. J. Geom. Methods Mod. Phys. 10, No. 3, Article ID 1250094, 37 p. (2013). MSC: 35Q53 37K05 PDF BibTeX XML Cite \textit{X. Geng} and \textit{D. Gong}, Int. J. Geom. Methods Mod. Phys. 10, No. 3, Article ID 1250094, 37 p. (2013; Zbl 1282.35331) Full Text: DOI OpenURL
Tam, Hon-Wah; Zhang, Yufeng An integrable system and associated integrable models as well as Hamiltonian structures. (English) Zbl 1297.37034 J. Math. Phys. 53, No. 10, 103508, 25 p. (2012). MSC: 37K10 37K05 37K40 37K35 35Q53 58J53 PDF BibTeX XML Cite \textit{H.-W. Tam} and \textit{Y. Zhang}, J. Math. Phys. 53, No. 10, 103508, 25 p. (2012; Zbl 1297.37034) Full Text: DOI OpenURL
Wei, Yuan; Zhang, Yu-Feng Two types of coupling integrable couplings of the S-mKdV hierarchy. (English) Zbl 1264.35203 Commun. Theor. Phys. 55, No. 2, 209-212 (2011). MSC: 35Q53 35Q55 37K10 22E70 37K30 PDF BibTeX XML Cite \textit{Y. Wei} and \textit{Y.-F. Zhang}, Commun. Theor. Phys. 55, No. 2, 209--212 (2011; Zbl 1264.35203) Full Text: DOI OpenURL
Li, Chuanzhong; Tian, Kelei; He, Jingsong; Cheng, Yi The recursion operator for a constrained CKP hierarchy. (English) Zbl 1249.37040 Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1295-1302 (2011). MSC: 37K05 37K10 35Q53 PDF BibTeX XML Cite \textit{C. Li} et al., Acta Math. Sci., Ser. B, Engl. Ed. 31, No. 4, 1295--1302 (2011; Zbl 1249.37040) Full Text: DOI arXiv OpenURL
Guo, Xiurong The coupling integrable couplings of the modified Korteweg-de Vries (mKdV) hierarchy. (English) Zbl 1221.37128 Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1760-1768 (2011). MSC: 37K10 PDF BibTeX XML Cite \textit{X. Guo}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 4, 1760--1768 (2011; Zbl 1221.37128) Full Text: DOI OpenURL
Yang, Hong Wei; Yin, Bao Shu; Fang, Yong A class of new Lie algebra, the corresponding g-mKdV hierarchy and its Hamiltonian structure. (English) Zbl 1233.37043 Int. J. Theor. Phys. 50, No. 3, 671-681 (2011). MSC: 37K10 37K30 17B80 PDF BibTeX XML Cite \textit{H. W. Yang} et al., Int. J. Theor. Phys. 50, No. 3, 671--681 (2011; Zbl 1233.37043) Full Text: DOI OpenURL
Dimakis, Aristophanes; Müller-Hoissen, Folkert Bidifferential calculus approach to AKNS hierarchies and their solutions. (English) Zbl 1218.37076 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 055, 27 p. (2010). MSC: 37J35 37K10 16E45 PDF BibTeX XML Cite \textit{A. Dimakis} and \textit{F. Müller-Hoissen}, SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 055, 27 p. (2010; Zbl 1218.37076) Full Text: DOI arXiv EuDML OpenURL
Matsutani, Shigeki Euler’s elastica and beyond. (English) Zbl 1209.37086 J. Geom. Symmetry Phys. 17, 45-86 (2010). Reviewer: Johanna Michor (Wien) MSC: 37K20 82D60 37K10 35Q53 74G65 58E50 74K10 PDF BibTeX XML Cite \textit{S. Matsutani}, J. Geom. Symmetry Phys. 17, 45--86 (2010; Zbl 1209.37086) OpenURL
Xu, Xi-Xiang An integrable coupling hierarchy of the MKdV_integrable systems, its Hamiltonian structure and corresponding nonisospectral integrable hierarchy. (English) Zbl 1188.37065 Appl. Math. Comput. 216, No. 1, 344-353 (2010). MSC: 37K10 PDF BibTeX XML Cite \textit{X.-X. Xu}, Appl. Math. Comput. 216, No. 1, 344--353 (2010; Zbl 1188.37065) Full Text: DOI OpenURL
Zhou, Ruguang Mixed hierarchy of soliton equations. (English) Zbl 1373.37162 J. Math. Phys. 50, No. 12, 123502, 12 p. (2009). MSC: 37K10 37L60 35Q51 35Q53 PDF BibTeX XML Cite \textit{R. Zhou}, J. Math. Phys. 50, No. 12, 123502, 12 p. (2009; Zbl 1373.37162) Full Text: DOI OpenURL
Anco, Stephen C.; Asadi, Esmaeel Quaternionic soliton equations from Hamiltonian curve flows in \(\mathbb{HP}^n \). (English) Zbl 1208.37039 J. Phys. A, Math. Theor. 42, No. 48, Article ID 485201, 25 p. (2009). Reviewer: Paul Popescu (Craiova) MSC: 37K10 35Q51 35Q53 35Q55 37K05 37K25 37K40 53C35 53C21 35L60 35A30 PDF BibTeX XML Cite \textit{S. C. Anco} and \textit{E. Asadi}, J. Phys. A, Math. Theor. 42, No. 48, Article ID 485201, 25 p. (2009; Zbl 1208.37039) Full Text: DOI arXiv OpenURL
Gomes, J. F.; França, G. Starvaggi; de Melo, G. R.; Zimerman, A. H. Negative even grade mKdV hierarchy and its soliton solutions. (English) Zbl 1193.35185 J. Phys. A, Math. Theor. 42, No. 44, Article ID 445204, 11 p. (2009). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35Q53 37K10 35Q51 35C08 PDF BibTeX XML Cite \textit{J. F. Gomes} et al., J. Phys. A, Math. Theor. 42, No. 44, Article ID 445204, 11 p. (2009; Zbl 1193.35185) Full Text: DOI arXiv OpenURL
Yu, Fajun A simple method to construct integrable coupling system for the MKdV equation hierarchy. (English) Zbl 1179.37089 Mod. Phys. Lett. B 23, No. 2, 171-182 (2009). Reviewer: A. A. Martynyuk (Kyïv) MSC: 37K10 35Q51 35Q53 37K40 PDF BibTeX XML Cite \textit{F. Yu}, Mod. Phys. Lett. B 23, No. 2, 171--182 (2009; Zbl 1179.37089) Full Text: DOI OpenURL
Aratyn, H.; Gomes, J. F.; Ymai, L. H.; Zimerman, A. H. A class of soliton solutions for the \(N=2\) super mKdV/sinh-Gordon hierarchy. (English) Zbl 1147.35080 J. Phys. A, Math. Theor. 41, No. 31, Article ID 312001, 7 p. (2008). MSC: 35Q53 35Q51 37K10 37K35 PDF BibTeX XML Cite \textit{H. Aratyn} et al., J. Phys. A, Math. Theor. 41, No. 31, Article ID 312001, 7 p. (2008; Zbl 1147.35080) Full Text: DOI arXiv OpenURL
Kwon, Soonsik Well-posedness and ill-posedness of the fifth-order modified KdV equation. (English) Zbl 1133.35085 Electron. J. Differ. Equ. 2008, Paper No. 01, 15 p. (2008). MSC: 35Q53 PDF BibTeX XML Cite \textit{S. Kwon}, Electron. J. Differ. Equ. 2008, Paper No. 01, 15 p. (2008; Zbl 1133.35085) Full Text: arXiv EuDML EMIS OpenURL
Yang, Yong; Zhao, Yan Expansion of Lie algebra and its application. (English) Zbl 1355.81090 Commun. Theor. Phys. 47, No. 1, 19-21 (2007). MSC: 81R15 81R05 81R10 35Q53 37K10 81R12 PDF BibTeX XML Cite \textit{Y. Yang} and \textit{Y. Zhao}, Commun. Theor. Phys. 47, No. 1, 19--21 (2007; Zbl 1355.81090) Full Text: DOI OpenURL
Mazzocco, Marta; Mo, Man Yue The Hamiltonian structure of the second Painlevé hierarchy. (English) Zbl 1156.34079 Nonlinearity 20, No. 12, 2845-2882 (2007). Reviewer: N. M. J. Woodhouse (Oxford) MSC: 34M55 37K20 35Q53 PDF BibTeX XML Cite \textit{M. Mazzocco} and \textit{M. Y. Mo}, Nonlinearity 20, No. 12, 2845--2882 (2007; Zbl 1156.34079) Full Text: DOI arXiv OpenURL
Xia, Tiecheng; Jiao, Zhang; You, Fucai A new loop algebra and its application to the multi-component S-mKdV hierarchy. (English) Zbl 1130.37034 Chaos Solitons Fractals 33, No. 3, 870-878 (2007). MSC: 37K30 37K10 37K15 PDF BibTeX XML Cite \textit{T. Xia} et al., Chaos Solitons Fractals 33, No. 3, 870--878 (2007; Zbl 1130.37034) Full Text: DOI OpenURL
Dong, Huanhe A type of integrable coupling model of KN hierarchy. (English) Zbl 1084.35537 Far East J. Dyn. Syst. 7, No. 2, 153-160 (2005). MSC: 35Q51 37K10 37K30 PDF BibTeX XML Cite \textit{H. Dong}, Far East J. Dyn. Syst. 7, No. 2, 153--160 (2005; Zbl 1084.35537) OpenURL
Xia, Tie-cheng; Yu, Fa-jun; Chen, Deng-yuan A higher dimensional loop algebra and integrable coupling system of evolution equations hierarchy. (English) Zbl 1086.35520 J. Shanghai Univ. 9, No. 3, 201-205 (2005). MSC: 35Q53 37K30 35Q51 35G25 PDF BibTeX XML Cite \textit{T.-c. Xia} et al., J. Shanghai Univ. 9, No. 3, 201--205 (2005; Zbl 1086.35520) Full Text: DOI OpenURL
Zeng, Yunbo; Ye, Shuo Solving the mKdV hierarchy with integral type of source by inverse scattering transformation. (English) Zbl 1038.35105 Hon, Yiu-Chung (ed.) et al., Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9–12, 2002. River Edge, NJ: World Scientific (ISBN 981-238-366-2/pbk). 212-221 (2003). MSC: 35Q53 37K05 37K15 PDF BibTeX XML Cite \textit{Y. Zeng} and \textit{S. Ye}, in: Recent development in theories and numerics. Proceedings of the international conference on inverse problems, Hong Kong, China, January 9--12, 2002. River Edge, NJ: World Scientific. 212--221 (2003; Zbl 1038.35105) OpenURL
Zhang, Yufeng; Yan, Qingyou An integrable coupling of the generalized AKNS hierarchy. (English) Zbl 1010.37043 Ann. Differ. Equations 18, No. 4, 431-437 (2002). MSC: 37K10 35Q55 35Q53 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Q. Yan}, Ann. Differ. Equations 18, No. 4, 431--437 (2002; Zbl 1010.37043) OpenURL
Kupershmidt, B. A. Dark equations. (English) Zbl 1001.35107 J. Nonlinear Math. Phys. 8, No. 3, 363-445 (2001). Reviewer: Igor Andrianov (Köln) MSC: 35Q53 37K10 PDF BibTeX XML Cite \textit{B. A. Kupershmidt}, J. Nonlinear Math. Phys. 8, No. 3, 363--445 (2001; Zbl 1001.35107) Full Text: DOI arXiv OpenURL
Fan, Engui; Zhang, Hongqing A new completely integrable Liouville’s system, its Lax representation and bi-Hamiltonian structure. (English) Zbl 0995.70013 Appl. Math. Mech., Engl. Ed. 22, No. 5, 520-527 (2001). MSC: 70H06 37J35 37N05 35Q53 PDF BibTeX XML Cite \textit{E. Fan} and \textit{H. Zhang}, Appl. Math. Mech., Engl. Ed. 22, No. 5, 520--527 (2001; Zbl 0995.70013) Full Text: DOI OpenURL
Yan, Zhengya; Zhang, Hongqing New hierarchy of coupled mKdV equations and its Liouville integrable infinite dimensional Hamiltonian structure. (Chinese. English summary) Zbl 1016.37038 Math. Appl. 13, No. 2, 37-40 (2000). MSC: 37K10 35Q53 35Q51 PDF BibTeX XML Cite \textit{Z. Yan} and \textit{H. Zhang}, Math. Appl. 13, No. 2, 37--40 (2000; Zbl 1016.37038) OpenURL
Zeng, Yunbo; Ma, Wen-Xiu; Lin, Runliang Integration of the soliton hierarchy with self-consistent sources. (English) Zbl 0968.37023 J. Math. Phys. 41, No. 8, 5453-5489 (2000). MSC: 37K15 35Q51 37K10 PDF BibTeX XML Cite \textit{Y. Zeng} et al., J. Math. Phys. 41, No. 8, 5453--5489 (2000; Zbl 0968.37023) Full Text: DOI Link OpenURL
Chalub, Fabio A. C. C.; Zubelli, Jorge P. Integrable systems, Huygens’ principle, and Dirac operators. (English) Zbl 0964.35134 Boiti, M. (ed.) et al., Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS ’79, Lecce, Italy, July 1-10, 1999. Singapore: World Scientific. 89-96 (2000). MSC: 35Q53 37K10 81Q05 PDF BibTeX XML Cite \textit{F. A. C. C. Chalub} and \textit{J. P. Zubelli}, in: Proceedings of the workshop on nonlinearity, integrability and all that: twenty years after NEEDS '79, Lecce, Italy, July 1--10, 1999. Singapore: World Scientific. 89--96 (2000; Zbl 0964.35134) OpenURL
Fioravanti, D.; Stanishkov, M. Non-local Virasoro symmetries in the mKdV hierarchy. (English) Zbl 0966.37038 Phys. Lett., B 447, No. 3-4, 277-283 (1999). MSC: 37K30 81R12 37K10 PDF BibTeX XML Cite \textit{D. Fioravanti} and \textit{M. Stanishkov}, Phys. Lett., B 447, No. 3--4, 277--283 (1999; Zbl 0966.37038) Full Text: DOI arXiv OpenURL
Zhou, Ruguang; Ma, Wenxiu New classical and quantum integrable systems related to the MKdV integrable hierarchy. (English) Zbl 0955.37043 J. Phys. Soc. Japan 67, No. 12, 4045-4050 (1998). MSC: 37K10 35Q53 37N20 82B23 PDF BibTeX XML Cite \textit{R. Zhou} and \textit{W. Ma}, J. Phys. Soc. Japan 67, No. 12, 4045--4050 (1998; Zbl 0955.37043) Full Text: DOI OpenURL
Zhdanov, R. Z.; Revenko, I. V.; Fushchych, W. I. Stationary mKdV hierarchy and integrability of the Dirac equations by quadratures. (English) Zbl 0949.37044 Phys. Lett., A 241, No. 3, 155-158 (1998). MSC: 37K10 35Q53 81Q05 PDF BibTeX XML Cite \textit{R. Z. Zhdanov} et al., Phys. Lett., A 241, No. 3, 155--158 (1998; Zbl 0949.37044) Full Text: DOI arXiv OpenURL
Zhdanov, R. Z. Lie symmetry and integrability of ordinary differential equations. (English) Zbl 0931.34004 J. Math. Phys. 39, No. 12, 6745-6756 (1998). MSC: 34A05 34A25 34L40 34A45 PDF BibTeX XML Cite \textit{R. Z. Zhdanov}, J. Math. Phys. 39, No. 12, 6745--6756 (1998; Zbl 0931.34004) Full Text: DOI Link OpenURL
Matsutani, Shigeki Statistical mechanics of elastica on a plane: Origin of the MKdV hierarchy. (English) Zbl 0919.35121 J. Phys. A, Math. Gen. 31, No. 11, 2705-2725 (1998). MSC: 35Q53 82D60 37J35 37K10 PDF BibTeX XML Cite \textit{S. Matsutani}, J. Phys. A, Math. Gen. 31, No. 11, 2705--2725 (1998; Zbl 0919.35121) Full Text: DOI arXiv OpenURL
Chen, Qingchui; Zhang, Baocai A new integrable system of complex form and the coupled mKdV hierarchy. (English) Zbl 0890.35126 Appl. Math., Ser. B (Engl. Ed.) 12, No. 1, 61-66 (1997). MSC: 35Q53 37J35 37K10 PDF BibTeX XML Cite \textit{Q. Chen} and \textit{B. Zhang}, Appl. Math., Ser. B (Engl. Ed.) 12, No. 1, 61--66 (1997; Zbl 0890.35126) Full Text: DOI OpenURL
Tracy, Craig A.; Widom, Harold Fredholm determinants and the mKdV/Sinh-Gordon hierarchies. (English) Zbl 0858.35114 Commun. Math. Phys. 179, No. 1, 1-10 (1996). MSC: 35Q53 81T10 82B20 PDF BibTeX XML Cite \textit{C. A. Tracy} and \textit{H. Widom}, Commun. Math. Phys. 179, No. 1, 1--10 (1996; Zbl 0858.35114) Full Text: DOI arXiv OpenURL
Gesztesy, F.; Weikard, R. Treibich-Verdier potentials and the stationary (m)KdV hierarchy. (English) Zbl 0830.35119 Math. Z. 219, No. 3, 451-476 (1995). MSC: 35Q53 37J35 37K10 14H52 PDF BibTeX XML Cite \textit{F. Gesztesy} and \textit{R. Weikard}, Math. Z. 219, No. 3, 451--476 (1995; Zbl 0830.35119) Full Text: DOI EuDML OpenURL
Willox, R.; Lambert, F.; Springael, J. Canonical bilinear systems and soliton resonances. (English) Zbl 0787.35092 Clarkson, Peter A. (ed.), Applications of analytic and geometric methods to nonlinear differential equations. Proceedings of the NATO Advanced Research Workshop, Exeter, United Kingdom, July 14-19, 1992. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 413, 257-270 (1993). MSC: 35Q53 37J35 37K10 58J72 PDF BibTeX XML Cite \textit{R. Willox} et al., NATO ASI Ser., Ser. C, Math. Phys. Sci. 413, 257--270 (1993; Zbl 0787.35092) OpenURL
Gu, Zhuquan Two finite-dimensional completely integrable Hamiltonian systems associated with the solutions of the mKdV hierarchy. (English) Zbl 0733.70011 J. Math. Phys. 32, No. 6, 1531-1536 (1991). MSC: 70H05 37J99 37J35 37K10 35Q53 PDF BibTeX XML Cite \textit{Z. Gu}, J. Math. Phys. 32, No. 6, 1531--1536 (1991; Zbl 0733.70011) Full Text: DOI OpenURL
Sasaki, Ryu; Yamanaka, Itaru Virasoro algebra, vertex operators, quantum Sine-Gordon and solvable quantum field theories. (English) Zbl 0661.35076 Conformal field theory and solvable lattice models, Symp., Kyoto/Jap. 1986, Adv. Stud. Pure Math. 16, 271-296 (1988). Reviewer: G.F.Post MSC: 35Q99 17B65 81T99 PDF BibTeX XML OpenURL
Imbens, Huib-Jan Équations KdV généralisées et fonctions. (Generalized KdV equations and \(\tau\)-functions). (French) Zbl 0634.35065 C. R. Acad. Sci., Paris, Sér. I 305, 224-232 (1987). Reviewer: G.F.Post MSC: 35Q99 17B67 PDF BibTeX XML Cite \textit{H.-J. Imbens}, C. R. Acad. Sci., Paris, Sér. I 305, 224--232 (1987; Zbl 0634.35065) OpenURL