Chang, Hui; Li, Yuxia; Dong, Huanhe; Zhi, Hongyan The quasi-AKNS and quasi-\(s o(3)\) type AKNS hierarchies as well as a gallery of simple Lie algebras contained in \(s l(3; \mathbb{C})\). (English) Zbl 1415.37092 J. Geom. Phys. 141, 79-91 (2019). MSC: 37K30 37K05 37K10 35Q53 PDF BibTeX XML Cite \textit{H. Chang} et al., J. Geom. Phys. 141, 79--91 (2019; Zbl 1415.37092) Full Text: DOI OpenURL
Wei, Yuan; Yin, Li; Long, Xin The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure. (English) Zbl 1458.37071 Adv. Difference Equ. 2019, Paper No. 58, 17 p. (2019). MSC: 37K10 37K30 35Q53 35Q55 PDF BibTeX XML Cite \textit{Y. Wei} et al., Adv. Difference Equ. 2019, Paper No. 58, 17 p. (2019; Zbl 1458.37071) Full Text: DOI OpenURL
Shen, Shoufeng; Li, Chunxia; Jin, Yongyang; Ma, Wen-Xiu Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling. (English) Zbl 1404.37084 J. Math. Phys. 59, No. 10, 103503, 11 p. (2018). MSC: 37K10 37K05 PDF BibTeX XML Cite \textit{S. Shen} et al., J. Math. Phys. 59, No. 10, 103503, 11 p. (2018; Zbl 1404.37084) Full Text: DOI arXiv OpenURL
Zhu, Shundong; Shen, Shoufeng; Jin, Yongyang; Li, Chunxia; Ma, Wen-Xiu New soliton hierarchies associated with the real Lie algebra \(\mathrm{so}(4,\mathbb{R})\). (English) Zbl 1358.37109 Math. Methods Appl. Sci. 40, No. 3, 680-698 (2017). MSC: 37K10 37K05 35Q53 70G65 PDF BibTeX XML Cite \textit{S. Zhu} et al., Math. Methods Appl. Sci. 40, No. 3, 680--698 (2017; Zbl 1358.37109) Full Text: DOI OpenURL
Zhang, Juhui; Yao, Yuqin The bi-integrable couplings of two-component Casimir-Qiao-Liu type hierarchy and their Hamiltonian structures. (English) Zbl 1361.35046 Adv. Math. Phys. 2016, Article ID 6347961, 13 p. (2016). MSC: 35G55 37K10 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{Y. Yao}, Adv. Math. Phys. 2016, Article ID 6347961, 13 p. (2016; Zbl 1361.35046) Full Text: DOI OpenURL
Tam, Honwah; Zhang, Yufeng; Zhang, Xiangzhi New applications of a kind of infinitesimal-operator Lie algebra. (English) Zbl 1345.37066 Adv. Math. Phys. 2016, Article ID 7639013, 12 p. (2016). MSC: 37K05 39A12 37K10 PDF BibTeX XML Cite \textit{H. Tam} et al., Adv. Math. Phys. 2016, Article ID 7639013, 12 p. (2016; Zbl 1345.37066) Full Text: DOI OpenURL
Yao, Yuqin; Shen, Shoufeng; Ma, Wen-Xiu A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure. (English) Zbl 1347.35067 Adv. Math. Phys. 2016, Article ID 3589704, 6 p. (2016). MSC: 35C08 35B06 PDF BibTeX XML Cite \textit{Y. Yao} et al., Adv. Math. Phys. 2016, Article ID 3589704, 6 p. (2016; Zbl 1347.35067) Full Text: DOI 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
Zhang, Yu-feng; Han, Zhong; Zhao, Zhong-long Applications of a few Lie algebras. (English) Zbl 1336.37056 Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 289-304 (2016). MSC: 37K10 35L65 PDF BibTeX XML Cite \textit{Y.-f. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 289--304 (2016; Zbl 1336.37056) 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
Jiang, Liya; Jin, Yongyang; Ma, Wen-Xiu; Shen, Shoufeng; Zhu, Haiyan Novel soliton hierarchies of Levi type and their bi-Hamiltonian structures. (English) Zbl 1351.37242 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 388-396 (2015). MSC: 37K10 PDF BibTeX XML Cite \textit{L. Jiang} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 388--396 (2015; Zbl 1351.37242) Full Text: DOI OpenURL
Yu, Shuimeng; Yao, Yuqin; Shen, Shoufeng; Ma, Wen-Xiu Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures. (English) Zbl 1351.37253 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 366-377 (2015). MSC: 37K10 PDF BibTeX XML Cite \textit{S. Yu} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 366--377 (2015; Zbl 1351.37253) Full Text: DOI OpenURL
Feng, Binlu; Zhang, Yufeng Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation. (English) Zbl 1337.37053 Adv. Math. Phys. 2015, Article ID 154915, 8 p. (2015). MSC: 37K10 PDF BibTeX XML Cite \textit{B. Feng} and \textit{Y. Zhang}, Adv. Math. Phys. 2015, Article ID 154915, 8 p. (2015; Zbl 1337.37053) Full Text: DOI OpenURL
Shen, Shoufeng; Li, Chunxia; Jin, Yongyang; Yu, Shuimeng Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies. (English) Zbl 1335.35222 Math. Methods Appl. Sci. 38, No. 17, 4345-4356 (2015). MSC: 35Q53 35C08 37K10 17B80 PDF BibTeX XML Cite \textit{S. Shen} et al., Math. Methods Appl. Sci. 38, No. 17, 4345--4356 (2015; Zbl 1335.35222) Full Text: DOI OpenURL
Zhu, Haiyan; Yu, Shuimeng; Shen, Shoufeng; Ma, Wen-Xiu New integrable \(\mathrm{sl}(2,\mathbb{R})\)-generalization of the classical Wadati-Konno-Ichikawa hierarchy. (English) Zbl 1329.37071 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1341-1349 (2015). MSC: 37K10 PDF BibTeX XML Cite \textit{H. Zhu} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1341--1349 (2015; Zbl 1329.37071) Full Text: DOI OpenURL
Shen, Shoufeng; Jiang, Liya; Jin, Yongyang; Ma, Wen-Xiu New soliton hierarchies associated with the Lie algebra so(3,\(\mathbb{R}\)) and their Bi-Hamiltonian structures. (English) Zbl 1315.37044 Rep. Math. Phys. 75, No. 1, 113-133 (2015). MSC: 37K10 17B80 PDF BibTeX XML Cite \textit{S. Shen} et al., Rep. Math. Phys. 75, No. 1, 113--133 (2015; Zbl 1315.37044) Full Text: DOI OpenURL
Shan, Zhengduo; Yang, Hongwei; Yin, Baoshu Nonlinear integrable couplings of Levi hierarchy and WKI hierarchy. (English) Zbl 1474.37086 Abstr. Appl. Anal. 2014, Article ID 678725, 7 p. (2014). MSC: 37K10 17B80 37K30 PDF BibTeX XML Cite \textit{Z. Shan} et al., Abstr. Appl. Anal. 2014, Article ID 678725, 7 p. (2014; Zbl 1474.37086) Full Text: DOI OpenURL
Dong, Xia; Xia, Tiecheng; Li, Desheng The semidirect sum of Lie algebras and its applications to C-KdV hierarchy. (English) Zbl 1449.37048 Abstr. Appl. Anal. 2014, Article ID 295068, 6 p. (2014). MSC: 37K30 37K10 37K06 17B80 PDF BibTeX XML Cite \textit{X. Dong} et al., Abstr. Appl. Anal. 2014, Article ID 295068, 6 p. (2014; Zbl 1449.37048) Full Text: DOI OpenURL
Tao, Sixing; Xia, Tiecheng Nonlinear super integrable couplings of super Broer-Kaup-Kupershmidt hierarchy and its super Hamiltonian structures. (English) Zbl 1291.37098 Adv. Math. Phys. 2013, Article ID 520765, 8 p. (2013). MSC: 37K10 PDF BibTeX XML Cite \textit{S. Tao} and \textit{T. Xia}, Adv. Math. Phys. 2013, Article ID 520765, 8 p. (2013; Zbl 1291.37098) Full Text: DOI OpenURL
Yue, Chao; Xia, Tiecheng The fractional quadratic-form identity and Hamiltonian structure of an integrable coupling of the fractional Ablowitz-Kaup-Newell-segur hierarchy. (English) Zbl 1298.37062 J. Math. Phys. 54, No. 7, 073518, 8 p. (2013). MSC: 37K10 26A33 35R11 37K30 PDF BibTeX XML Cite \textit{C. Yue} and \textit{T. Xia}, J. Math. Phys. 54, No. 7, 073518, 8 p. (2013; Zbl 1298.37062) 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
Wang, Xinzeng; Dong, Huanhe; Li, Yuxia Some reductions from a Lax integrable system and their Hamiltonian structures. (English) Zbl 1254.37047 Appl. Math. Comput. 218, No. 20, 10032-10039 (2012). MSC: 37K10 37K15 PDF BibTeX XML Cite \textit{X. Wang} et al., Appl. Math. Comput. 218, No. 20, 10032--10039 (2012; Zbl 1254.37047) Full Text: DOI OpenURL
Zhaqilao A generalized AKNS hierarchy, bi-Hamiltonian structure, and Darboux transformation. (English) Zbl 1276.37045 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2319-2332 (2012). Reviewer: Tomáš Dohnal (Karlsruhe) MSC: 37K10 37K35 PDF BibTeX XML Cite \textit{Zhaqilao}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2319--2332 (2012; Zbl 1276.37045) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah; Jiang, Wei Two enlarged loop algebras for obtaining new integrable hierarchies. (English) Zbl 1333.37111 Int. J. Mod. Phys. B 25, No. 19, 2637-2656 (2011). MSC: 37K10 35Q51 37K05 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Int. J. Mod. Phys. B 25, No. 19, 2637--2656 (2011; Zbl 1333.37111) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah; Zhao, Jing Generalized mKdV equation, Liouville equation, sine-Gordon equation and sine-Gordon equation as well as a formal Bäcklund transformation. (English) Zbl 1333.37112 Int. J. Mod. Phys. B 25, No. 18, 2449-2460 (2011). MSC: 37K10 35Q55 35Q53 22E70 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Int. J. Mod. Phys. B 25, No. 18, 2449--2460 (2011; Zbl 1333.37112) Full Text: DOI OpenURL
Guo, Xiurong A new method for generating a new integrable system. (English) Zbl 1333.37106 Int. J. Mod. Phys. B 25, No. 11, 1553-1558 (2011). MSC: 37K10 22E70 PDF BibTeX XML Cite \textit{X. Guo}, Int. J. Mod. Phys. B 25, No. 11, 1553--1558 (2011; Zbl 1333.37106) Full Text: DOI OpenURL
You, Fucai Nonlinear super integrable Hamiltonian couplings. (English) Zbl 1273.81150 J. Math. Phys. 52, No. 12, 123510, 11 p. (2011). MSC: 81T10 81T20 81T60 17A70 37K10 PDF BibTeX XML Cite \textit{F. You}, J. Math. Phys. 52, No. 12, 123510, 11 p. (2011; Zbl 1273.81150) Full Text: DOI OpenURL
Yu, Fa-Jun A kind of new continuous limits of an integrable coupling system for discrete AKNS hierarchy. (English) Zbl 1247.37072 Int. J. Mod. Phys. B 25, No. 26, 3443-3454 (2011). MSC: 37K10 37K60 81T27 PDF BibTeX XML Cite \textit{F.-J. Yu}, Int. J. Mod. Phys. B 25, No. 26, 3443--3454 (2011; Zbl 1247.37072) Full Text: DOI OpenURL
Wang, Xiangrong; Fang, Yong; Dong, Huanhe Component-trace identity for Hamiltonian structure of the integrable couplings of the giachetti-johnson (GJ) hierarchy and coupling integrable couplings. (English) Zbl 1221.37136 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2680-2688 (2011). MSC: 37K10 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2680--2688 (2011; Zbl 1221.37136) Full Text: DOI 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
Feng, Binlu; Liu, Jiaqi Two expanding integrable systems and quasi-Hamiltonian function associated with an equation hierarchy. (English) Zbl 1221.37124 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 661-672 (2011). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{B. Feng} and \textit{J. Liu}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 661--672 (2011; Zbl 1221.37124) Full Text: DOI OpenURL
Tao, Sixing; Xia, Tiecheng Two super-integrable hierarchies and their super-Hamiltonian structures. (English) Zbl 1221.37135 Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 127-132 (2011). MSC: 37K10 PDF BibTeX XML Cite \textit{S. Tao} and \textit{T. Xia}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 1, 127--132 (2011; Zbl 1221.37135) 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
Zhang, Yufeng; Fan, Engui Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti-Pempinelli-Tu hierarchy. (English) Zbl 1312.35156 J. Math. Phys. 51, No. 8, 083506, 18 p. (2010). MSC: 35Q53 37K10 58J53 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{E. Fan}, J. Math. Phys. 51, No. 8, 083506, 18 p. (2010; Zbl 1312.35156) Full Text: DOI OpenURL
Zhaqilao; Sirendaoreji A generalized coupled Korteweg-de Vries hierarchy, bi-Hamiltonian structure, and Darboux transformation. (English) Zbl 1311.37051 J. Math. Phys. 51, No. 7, 073501, 13 p. (2010). MSC: 37K10 35Q53 15A18 37K35 PDF BibTeX XML Cite \textit{Zhaqilao} and \textit{Sirendaoreji}, J. Math. Phys. 51, No. 7, 073501, 13 p. (2010; Zbl 1311.37051) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah Three kinds of coupling integrable couplings of the Korteweg-de Vries hierarchy of evolution equations. (English) Zbl 1310.37039 J. Math. Phys. 51, No. 4, 043510, 18 p. (2010). MSC: 37K10 17B66 35Q53 22E67 58J53 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Tam}, J. Math. Phys. 51, No. 4, 043510, 18 p. (2010; Zbl 1310.37039) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah Four Lie algebras associated with \(\mathbb{R}^6\) and their applications. (English) Zbl 1309.37066 J. Math. Phys. 51, No. 9, 093514, 30 p. (2010). MSC: 37K10 37K40 35Q51 17B20 58J53 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Tam}, J. Math. Phys. 51, No. 9, 093514, 30 p. (2010; Zbl 1309.37066) Full Text: DOI OpenURL
Ding, Hai-Yong; Sun, Ye-Peng; Xue, Feng-Chang A hierarchy of differential-difference equations, conservation laws and new integrable coupling system. (English) Zbl 1222.37077 Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2037-2043 (2010). MSC: 37K60 39A70 PDF BibTeX XML Cite \textit{H.-Y. Ding} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 8, 2037--2043 (2010; Zbl 1222.37077) Full Text: DOI OpenURL
Lin, Chang; Lin, Mai-Mai The hierarchy of an integrable coupling and its Hamiltonian structure. (English) Zbl 1221.37131 Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 232-237 (2010). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{C. Lin} and \textit{M.-M. Lin}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 2, 232--237 (2010; Zbl 1221.37131) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah; Mei, Jianqin Integrable Hamiltonian hierarchies associated with the equation of heat conduction. (English) Zbl 1200.37066 Mod. Phys. Lett. B 24, No. 14, 1573-1594 (2010). Reviewer: Fuhua Ling (Milpitas) MSC: 37K10 37K30 37K40 80A20 35Q51 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Mod. Phys. Lett. B 24, No. 14, 1573--1594 (2010; Zbl 1200.37066) Full Text: DOI OpenURL
Zhu, Li; Yang, Hongwei; Dong, Huanhe A Liouville integrable multi-component integrable system and its integrable couplings. (English) Zbl 1186.37086 Int. J. Mod. Phys. B 24, No. 8, 1021-1046 (2010). MSC: 37K30 PDF BibTeX XML Cite \textit{L. Zhu} et al., Int. J. Mod. Phys. B 24, No. 8, 1021--1046 (2010; Zbl 1186.37086) Full Text: DOI OpenURL
Ma, Wen-Xiu; Zhang, Yi Component-trace identities for Hamiltonian structures. (English) Zbl 1192.37091 Appl. Anal. 89, No. 4, 457-472 (2010). MSC: 37K05 35Q53 37K10 37K30 PDF BibTeX XML Cite \textit{W.-X. Ma} and \textit{Y. Zhang}, Appl. Anal. 89, No. 4, 457--472 (2010; Zbl 1192.37091) Full Text: DOI OpenURL
Yu, Fajun; Li, Li Noncommutative integrable coupling system of TC equation hierarchy. (English) Zbl 1192.37097 Appl. Math. Comput. 215, No. 11, 3796-3801 (2010). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K10 PDF BibTeX XML Cite \textit{F. Yu} and \textit{L. Li}, Appl. Math. Comput. 215, No. 11, 3796--3801 (2010; Zbl 1192.37097) Full Text: DOI OpenURL
Ma, Wen-Xiu Variational identities and applications to Hamiltonian structures of soliton equations. (English) Zbl 1238.37020 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e-Suppl., e1716-e1726 (2009). MSC: 37K05 37K10 35Q51 PDF BibTeX XML Cite \textit{W.-X. Ma}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 12, e1716--e1726 (2009; Zbl 1238.37020) Full Text: DOI OpenURL
Guo, Fu-Kui New computational formulae concerning the constant in the trace identity and the quadratic-form identity. (English) Zbl 1221.37126 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1139-1145 (2009). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{F.-K. Guo}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1139--1145 (2009; Zbl 1221.37126) Full Text: DOI OpenURL
Dong, Huan-He; Wang, Xinzeng Lie algebras and Lie super algebra for the integrable couplings of NLS-mKdV hierarchy. (English) Zbl 1221.37120 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4071-4077 (2009). MSC: 37K10 37K30 35Q55 PDF BibTeX XML Cite \textit{H.-H. Dong} and \textit{X. Wang}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4071--4077 (2009; Zbl 1221.37120) Full Text: DOI OpenURL
Guo, Xiurong Two expanding integrable systems of the GI soliton hierarchy and a generalized GI hierarchy with self-consistent sources as well as its extension form. (English) Zbl 1221.37127 Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4065-4070 (2009). MSC: 37K10 17B80 37K30 PDF BibTeX XML Cite \textit{X. Guo}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 12, 4065--4070 (2009; Zbl 1221.37127) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah A few integrable systems and spatial spectral transformations. (English) Zbl 1221.37144 Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3770-3783 (2009). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Tam}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3770--3783 (2009; Zbl 1221.37144) Full Text: DOI OpenURL
Tam, Hon-Wah; Zhang, Yufeng A new Lie algebra and soliton solutions, Bäcklund transformation of soliton equations. (A new Lie algebra and soliton solutions, Bächlund transformation of soliton equations.) (English) Zbl 1198.37100 Chaos Solitons Fractals 42, No. 3, 1670-1676 (2009). MSC: 37K30 37K10 37K35 PDF BibTeX XML Cite \textit{H.-W. Tam} and \textit{Y. Zhang}, Chaos Solitons Fractals 42, No. 3, 1670--1676 (2009; Zbl 1198.37100) Full Text: DOI OpenURL
You, Fucai; Xia, Tiecheng Application of a semi-direct sum of Lie algebras to the TD hierarchy. (English) Zbl 1198.37101 Chaos Solitons Fractals 41, No. 5, 2750-2755 (2009). MSC: 37K30 37K10 PDF BibTeX XML Cite \textit{F. You} and \textit{T. Xia}, Chaos Solitons Fractals 41, No. 5, 2750--2755 (2009; Zbl 1198.37101) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah Two explicit realizations of a Lie algebra. (English) Zbl 1198.37102 Chaos Solitons Fractals 41, No. 5, 2241-2245 (2009). MSC: 37K30 17B80 37K10 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Tam}, Chaos Solitons Fractals 41, No. 5, 2241--2245 (2009; Zbl 1198.37102) Full Text: DOI OpenURL
Yu, Fajun; Zhang, Hongqing Constructing the multicomponent coupling Davey-Stewardson (DS) hierarchy with pseudodifferential operator. (English) Zbl 1198.37097 Chaos Solitons Fractals 40, No. 4, 1867-1876 (2009). MSC: 37K10 35Q53 35S05 PDF BibTeX XML Cite \textit{F. Yu} and \textit{H. Zhang}, Chaos Solitons Fractals 40, No. 4, 1867--1876 (2009; Zbl 1198.37097) Full Text: DOI OpenURL
Zhang, Jiao The integrable couplings of the modified Jaulent-Miodek hierarchy and its Hamiltonian structure. (English) Zbl 1197.37084 Chaos Solitons Fractals 40, No. 1, 138-144 (2009). MSC: 37K10 PDF BibTeX XML Cite \textit{J. Zhang}, Chaos Solitons Fractals 40, No. 1, 138--144 (2009; Zbl 1197.37084) Full Text: DOI OpenURL
Yue, Chao; Liu, Zhaojun; Yu, Jiadong Two \((2+1)\)-dimensional integrable couplings of the KN hierarchy and corresponding Hamiltonian structures. (English) Zbl 1180.37101 Mod. Phys. Lett. B 23, No. 30, 3643-3658 (2009). MSC: 37K10 81T13 17B68 PDF BibTeX XML Cite \textit{C. Yue} et al., Mod. Phys. Lett. B 23, No. 30, 3643--3658 (2009; Zbl 1180.37101) Full Text: DOI OpenURL
Li, Zhu; Yang, Hongwei; Dong, Huanhe Super-Burgers soliton hierarchy and its super-Hamiltonian structure. (English) Zbl 1179.37084 Mod. Phys. Lett. B 23, No. 24, 2907-2914 (2009). MSC: 37K10 37K30 35Q51 PDF BibTeX XML Cite \textit{Z. Li} et al., Mod. Phys. Lett. B 23, No. 24, 2907--2914 (2009; Zbl 1179.37084) Full Text: DOI OpenURL
Wang, Xin-Zeng; Dong, Huan-He A Lie superalgebra and corresponding hierarchy of evolution equations. (English) Zbl 1181.37104 Mod. Phys. Lett. B 23, No. 28, 3387-3396 (2009). MSC: 37K10 35Q51 37K40 17B01 37K30 PDF BibTeX XML Cite \textit{X.-Z. Wang} and \textit{H.-H. Dong}, Mod. Phys. Lett. B 23, No. 28, 3387--3396 (2009; Zbl 1181.37104) Full Text: DOI OpenURL
Tam, Honwah; Zhang, Yufeng Spectral radius analysis of matrices and the associated with integrable systems. (English) Zbl 1242.37049 Int. J. Mod. Phys. B 23, No. 24, 4855-4879 (2009). MSC: 37K10 37K30 15A18 37K15 PDF BibTeX XML Cite \textit{H. Tam} and \textit{Y. Zhang}, Int. J. Mod. Phys. B 23, No. 24, 4855--4879 (2009; Zbl 1242.37049) Full Text: DOI OpenURL
Dong, Huanhe; Wang, Xinzeng A Lie algebra containing four parameters for the generalized Dirac hierarchy. (English) Zbl 1218.37087 Appl. Math. Comput. 215, No. 2, 459-463 (2009). MSC: 37K10 37K30 17B80 PDF BibTeX XML Cite \textit{H. Dong} and \textit{X. Wang}, Appl. Math. Comput. 215, No. 2, 459--463 (2009; Zbl 1218.37087) Full Text: DOI OpenURL
Zhang, Yufeng; Dong, Huanhe; Hon, Y. C. A new soliton hierarchy and its two kinds of expanding integrable models as well as Hamiltonian structure. (English) Zbl 1170.37330 Int. J. Mod. Phys. B 23, No. 14, 3059-3072 (2009). MSC: 37K10 37K15 35Q51 22E70 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Int. J. Mod. Phys. B 23, No. 14, 3059--3072 (2009; Zbl 1170.37330) Full Text: DOI OpenURL
Li, Zhu; Dong, Huanhe; Yang, Hongwei A super-soliton hierarchy and its super-Hamiltonian structure. (English) Zbl 1177.37073 Int. J. Theor. Phys. 48, No. 7, 2172-2176 (2009). Reviewer: Hu Chuangan (San Jose) MSC: 37K30 17B01 PDF BibTeX XML Cite \textit{Z. Li} et al., Int. J. Theor. Phys. 48, No. 7, 2172--2176 (2009; Zbl 1177.37073) Full Text: DOI OpenURL
Zhang, Yongqing; Li, Yan A soliton hierarchy from the Levi spectral problem and its two integrable couplings, Hamiltonian structure. (English) Zbl 1196.37113 Mod. Phys. Lett. B 23, No. 5, 731-739 (2009). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K40 35Q51 37K10 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. Li}, Mod. Phys. Lett. B 23, No. 5, 731--739 (2009; Zbl 1196.37113) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah; Guo, Fukui Invertible linear transformations and the Lie algebras. (English) Zbl 1221.37147 Commun. Nonlinear Sci. Numer. Simul. 13, No. 4, 682-702 (2008). MSC: 37K30 17B99 35A30 37K10 PDF BibTeX XML Cite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 4, 682--702 (2008; Zbl 1221.37147) Full Text: DOI OpenURL
Dong, Huanhe; Wang, Xuelei; Zhang, Ning A new loop algebra and the corresponding computing formula of constant \(\gamma \) in the quadratic-form identity, as well as the generalized Burgers hierarchy. (English) Zbl 1165.37028 Int. J. Theor. Phys. 47, No. 7, 1817-1827 (2008). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K10 PDF BibTeX XML Cite \textit{H. Dong} et al., Int. J. Theor. Phys. 47, No. 7, 1817--1827 (2008; Zbl 1165.37028) Full Text: DOI OpenURL
Chang, Hui; Chang, Shuangling; Zhang, Yu Some expanding semi-direct sums of Lie algebra \(\overline G\) and its application. (English) Zbl 1156.82328 Mod. Phys. Lett. B 22, No. 32, 3215-3225 (2008). MSC: 82B20 17B37 17B81 PDF BibTeX XML Cite \textit{H. Chang} et al., Mod. Phys. Lett. B 22, No. 32, 3215--3225 (2008; Zbl 1156.82328) Full Text: DOI OpenURL
Li, Ling; Dong, Huanhe; Liu, Jinyuan Constructing integrable couplings for the C-KdV hierarchy. (English) Zbl 1154.37365 Mod. Phys. Lett. B 22, No. 20, 1903-1912 (2008). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{L. Li} et al., Mod. Phys. Lett. B 22, No. 20, 1903--1912 (2008; Zbl 1154.37365) Full Text: DOI OpenURL
Ma, Wen-Xiu; He, Jing-Song; Qin, Zhen-Yun A supertrace identity and its applications to superintegrable systems. (English) Zbl 1153.81398 J. Math. Phys. 49, No. 3, 033511, 13 p. (2008). MSC: 37K10 17B80 81R12 PDF BibTeX XML Cite \textit{W.-X. Ma} et al., J. Math. Phys. 49, No. 3, 033511, 13 p. (2008; Zbl 1153.81398) Full Text: DOI Link OpenURL
Guo, Fukui; Zhang, Yufeng The computational formula on the constant \(\gamma\) appeared in the equivalently used trace identity and quadratic-form identity. (English) Zbl 1146.37353 Chaos Solitons Fractals 38, No. 2, 499-505 (2008). MSC: 37K10 17A99 PDF BibTeX XML Cite \textit{F. Guo} and \textit{Y. Zhang}, Chaos Solitons Fractals 38, No. 2, 499--505 (2008; Zbl 1146.37353) Full Text: DOI OpenURL
Song, Ming; Dong, Huanhe; Xu, Xiuli; Gao, Huijian Integrable couplings of the \((2+1)\)-dimensional Li hierachy and its Hamiltonian structure as well as the multi-component Li hierarchy. (English) Zbl 1211.37080 Mod. Phys. Lett. B 22, No. 14, 1401-1413 (2008). MSC: 37K10 81R12 PDF BibTeX XML Cite \textit{M. Song} et al., Mod. Phys. Lett. B 22, No. 14, 1401--1413 (2008; Zbl 1211.37080) Full Text: DOI OpenURL
You, Fucai; Xia, Tiecheng A new loop algebra \(\tilde A_5\) and its applications to integrable system. (English) Zbl 1142.37366 Chaos Solitons Fractals 37, No. 5, 1481-1488 (2008). MSC: 37K10 17B80 37K30 PDF BibTeX XML Cite \textit{F. You} and \textit{T. Xia}, Chaos Solitons Fractals 37, No. 5, 1481--1488 (2008; Zbl 1142.37366) Full Text: DOI OpenURL
Yao, Yuqin; Ji, Jie; Liu, Yuqing; Chen, Dengyuan Integrable coupling of the Ablowitz-Ladik hierarchy and its Hamiltonian structure. (English) Zbl 1159.37021 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 557-568 (2008). Reviewer: Radu Precup (Cluj-Napoca) MSC: 37J35 35Q58 37C80 37K10 PDF BibTeX XML Cite \textit{Y. Yao} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 557--568 (2008; Zbl 1159.37021) Full Text: DOI OpenURL
Zhang, Yu-Feng; Xu, Xi-Xiang An extended integrable model of the KdV hierarchy and the resulting Hamiltonian structure. (English) Zbl 1153.37424 Chaos Solitons Fractals 37, No. 4, 1059-1064 (2008). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{Y.-F. Zhang} and \textit{X.-X. Xu}, Chaos Solitons Fractals 37, No. 4, 1059--1064 (2008; Zbl 1153.37424) Full Text: DOI OpenURL
Zhang, Ning; Dong, Huan-He NLS-MKdV hierarchy and its Hamiltonian structures. (English) Zbl 1140.81407 Int. J. Theor. Phys. 47, No. 5, 1221-1229 (2008). MSC: 81R12 37K10 58J53 35Q53 PDF BibTeX XML Cite \textit{N. Zhang} and \textit{H.-H. Dong}, Int. J. Theor. Phys. 47, No. 5, 1221--1229 (2008; Zbl 1140.81407) Full Text: DOI OpenURL
Dong, Huan-He; Wang, Xiang-Rong The quadratic-form identity for constructing Hamiltonian structures of the NLS-MKdV hierarchy and multi-component Levi hierarchy. (English) Zbl 1210.37045 Chaos Solitons Fractals 37, No. 1, 245-251 (2008). MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{H.-H. Dong} and \textit{X.-R. Wang}, Chaos Solitons Fractals 37, No. 1, 245--251 (2008; Zbl 1210.37045) Full Text: DOI OpenURL
Guo, Fukui; Zhang, Yufeng An extended trace identity and applications. (English) Zbl 1172.70009 Chaos Solitons Fractals 36, No. 4, 1113-1119 (2008). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 70H06 37N05 PDF BibTeX XML Cite \textit{F. Guo} and \textit{Y. Zhang}, Chaos Solitons Fractals 36, No. 4, 1113--1119 (2008; Zbl 1172.70009) Full Text: DOI OpenURL
Zhang, Yufeng; Tam, Honwah New integrable couplings and Hamiltonian structure of the KN hierarchy and the DLW hierarchy. (English) Zbl 1131.37303 Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 524-533 (2008). MSC: 37K10 35Q58 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{H. Tam}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 524--533 (2008; Zbl 1131.37303) Full Text: DOI OpenURL
Zhang, Yufeng; Hon, Y. C. Hamiltonian structures of two integrable couplings of the modified AKNS hierarchy. (English) Zbl 1141.37027 Mod. Phys. Lett. B 21, No. 30, 2063-2074 (2007). MSC: 37K10 35Q51 17B80 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{Y. C. Hon}, Mod. Phys. Lett. B 21, No. 30, 2063--2074 (2007; Zbl 1141.37027) Full Text: DOI OpenURL
Zhang, Yufeng; Fan, Engui Subalgebras of the Lie algebra \(R^6\) and their applications. (English) Zbl 1186.37084 Int. J. Mod. Phys. B 21, No. 22, 3809-3824 (2007). MSC: 37K10 17B80 37K30 70H06 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{E. Fan}, Int. J. Mod. Phys. B 21, No. 22, 3809--3824 (2007; Zbl 1186.37084) Full Text: DOI OpenURL
You, Fucai; Xia, Tiecheng Integrable couplings of the generalized AKNS hierarchy with an arbitrary function and its bi-Hamiltonian structure. (English) Zbl 1136.81385 Int. J. Theor. Phys. 46, No. 12, 3159-3168 (2007). MSC: 81R15 81U15 58J72 22E67 81Q05 PDF BibTeX XML Cite \textit{F. You} and \textit{T. Xia}, Int. J. Theor. Phys. 46, No. 12, 3159--3168 (2007; Zbl 1136.81385) Full Text: DOI OpenURL
Zhang, Yu-Feng; Nian, Si-Hong; Fan, En-Gui A solitary hierarchy of an integrable coupling and its Hamiltonian structure. (English) Zbl 1134.37033 Chaos Solitons Fractals 34, No. 3, 914-918 (2007). MSC: 37K10 37K30 35Q51 PDF BibTeX XML Cite \textit{Y.-F. Zhang} et al., Chaos Solitons Fractals 34, No. 3, 914--918 (2007; Zbl 1134.37033) Full Text: DOI OpenURL
Chao, Yue; Zhang, Yufeng A higher-dimensional multi-component integrable hierarchy and its integrable couplings. (English) Zbl 1129.37038 Chaos Solitons Fractals 32, No. 4, 1477-1484 (2007). MSC: 37K10 17B80 37K30 PDF BibTeX XML Cite \textit{Y. Chao} and \textit{Y. Zhang}, Chaos Solitons Fractals 32, No. 4, 1477--1484 (2007; Zbl 1129.37038) Full Text: DOI OpenURL
Dong, Huan-He A new loop algebra and two new Liouville integrable hierarchy. (English) Zbl 1124.37039 Mod. Phys. Lett. B 21, No. 11, 663-673 (2007). MSC: 37K10 37K30 17B80 PDF BibTeX XML Cite \textit{H.-H. Dong}, Mod. Phys. Lett. B 21, No. 11, 663--673 (2007; Zbl 1124.37039) Full Text: DOI OpenURL
Li, Zhu; Zhang, Yujuan; Dong, Huanhe Integrable couplings of the TC hierarchy and its Hamiltonian structure. (English) Zbl 1133.37332 Mod. Phys. Lett. B 21, No. 10, 595-602 (2007). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{Z. Li} et al., Mod. Phys. Lett. B 21, No. 10, 595--602 (2007; Zbl 1133.37332) Full Text: DOI OpenURL
Zhang, Yufeng On integrable couplings of the dispersive long wave hierarchy and their Hamiltonian structure. (English) Zbl 1115.37060 Mod. Phys. Lett. B 21, No. 1, 37-44 (2007). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{Y. Zhang}, Mod. Phys. Lett. B 21, No. 1, 37--44 (2007; Zbl 1115.37060) Full Text: DOI OpenURL
Zhang, Yufeng; Fan, Engui Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy. (English) Zbl 1195.37044 Phys. Lett., A 348, No. 3-6, 180-186 (2006). MSC: 37K10 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{E. Fan}, Phys. Lett., A 348, No. 3--6, 180--186 (2006; Zbl 1195.37044) Full Text: DOI OpenURL
Fan, Engui; Zhang, Yufeng Vector loop algebra and its applications to integrable system. (English) Zbl 1106.37045 Chaos Solitons Fractals 28, No. 4, 966-971 (2006). MSC: 37K10 37K30 PDF BibTeX XML Cite \textit{E. Fan} and \textit{Y. Zhang}, Chaos Solitons Fractals 28, No. 4, 966--971 (2006; Zbl 1106.37045) Full Text: DOI OpenURL