Wang, Haifeng; Zhang, Yufeng; Li, Chuanzhong A multi-component super integrable Dirac hierarchy. (English) Zbl 07799172 Phys. Lett., B 847, Article ID 138323, 11 p. (2023). MSC: 81-XX 83-XX PDFBibTeX XMLCite \textit{H. Wang} et al., Phys. Lett., B 847, Article ID 138323, 11 p. (2023; Zbl 07799172) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng; Li, Chuanzhong Multi-component super integrable Hamiltonian hierarchies. (English) Zbl 07767802 Physica D 456, Article ID 133918, 9 p. (2023). MSC: 37K10 37K30 35Q51 PDFBibTeX XMLCite \textit{H. Wang} et al., Physica D 456, Article ID 133918, 9 p. (2023; Zbl 07767802) Full Text: DOI
Zhang, Yufeng; Liu, Yiyi; Liu, Jian-Gen; Feng, Binlu A new non-isospectral integrable hierarchy and some associated symmetries. (English) Zbl 07741560 J. Math. Res. Appl. 43, No. 5, 573-596 (2023). MSC: 35B06 35Q51 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Math. Res. Appl. 43, No. 5, 573--596 (2023; Zbl 07741560) Full Text: DOI
Wang, Zhenbo; Wang, Haifeng; Zhang, Yufeng A novel kind of a multicomponent hierarchy of discrete soliton equations and its application. (English. Russian original) Zbl 1516.37089 Theor. Math. Phys. 215, No. 3, 823-836 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 421-436 (2023). MSC: 37K10 37K30 37K60 39A36 PDFBibTeX XMLCite \textit{Z. Wang} et al., Theor. Math. Phys. 215, No. 3, 823--836 (2023; Zbl 1516.37089); translation from Teor. Mat. Fiz. 215, No. 3, 421--436 (2023) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations. (English) Zbl 1504.35500 J. Comput. Appl. Math. 420, Article ID 114812, 14 p. (2023). MSC: 35Q55 35Q41 35Q15 37K10 37K15 35C08 35B40 35P25 17B81 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, J. Comput. Appl. Math. 420, Article ID 114812, 14 p. (2023; Zbl 1504.35500) Full Text: DOI
Chai, Xuedong; Zhang, Yufeng The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation. (English) Zbl 1498.35176 Appl. Math. Lett. 134, Article ID 108378, 7 p. (2022). MSC: 35G50 35R30 37K10 PDFBibTeX XMLCite \textit{X. Chai} and \textit{Y. Zhang}, Appl. Math. Lett. 134, Article ID 108378, 7 p. (2022; Zbl 1498.35176) Full Text: DOI
Zhao, Shiyin; Zhang, Yufeng; Zhou, Jian; Zhang, Hongyi Coverings and nonlocal symmetries as well as fundamental solutions of nonlinear equations derived from the nonisospectral AKNS hierarchy. (English) Zbl 1502.37071 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106622, 27 p. (2022). MSC: 37K10 35Q51 35Q55 PDFBibTeX XMLCite \textit{S. Zhao} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106622, 27 p. (2022; Zbl 1502.37071) Full Text: DOI
Zhang, Yu-feng; Wang, Hai-feng; Bai, Na Schemes for generating different nonlinear Schrödinger integrable equations and their some properties. (English) Zbl 1502.37070 Acta Math. Appl. Sin., Engl. Ser. 38, No. 3, 579-600 (2022). MSC: 37K10 37K40 35Q55 35B06 PDFBibTeX XMLCite \textit{Y.-f. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 38, No. 3, 579--600 (2022; Zbl 1502.37070) Full Text: DOI
Chai, Xuedong; Zhang, Yufeng; Chen, Yong; Zhao, Shiyin The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1495.37059 Proc. Am. Math. Soc. 150, No. 7, 2879-2887 (2022). Reviewer: Arsen Melikyan (Brasília) MSC: 37K15 37K10 35R30 35A30 35Q51 PDFBibTeX XMLCite \textit{X. Chai} et al., Proc. Am. Math. Soc. 150, No. 7, 2879--2887 (2022; Zbl 1495.37059) Full Text: DOI
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 PDFBibTeX XMLCite \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
Lu, Huanhuan; Zhang, Yufeng The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1487.35009 Rocky Mt. J. Math. 51, No. 6, 2137-2145 (2021). MSC: 35A08 37K10 PDFBibTeX XMLCite \textit{H. Lu} and \textit{Y. Zhang}, Rocky Mt. J. Math. 51, No. 6, 2137--2145 (2021; Zbl 1487.35009) Full Text: DOI Link
Chai, Xuedong; Zhang, Yufeng; Zhao, Shiyin Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation. (English. Russian original) Zbl 1486.81147 Theor. Math. Phys. 209, No. 3, 1717-1725 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 465-474 (2021). MSC: 81T10 81T15 35J08 35R30 81U40 35C08 35G31 PDFBibTeX XMLCite \textit{X. Chai} et al., Theor. Math. Phys. 209, No. 3, 1717--1725 (2021; Zbl 1486.81147); translation from Teor. Mat. Fiz. 209, No. 3, 465--474 (2021) Full Text: DOI
Zhao, Shiyin; Zhang, Yufeng; Zhang, Xiangzhi A new application of the \(\bar{\partial} \)-method. (English) Zbl 1482.37070 J. Nonlinear Math. Phys. 28, No. 4, 492-506 (2021). MSC: 37K10 37K20 PDFBibTeX XMLCite \textit{S. Zhao} et al., J. Nonlinear Math. Phys. 28, No. 4, 492--506 (2021; Zbl 1482.37070) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems. (English. Russian original) Zbl 1482.81040 Theor. Math. Phys. 208, No. 3, 1239-1255 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 452-470 (2021). MSC: 81U40 81U15 81Q80 81T10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Theor. Math. Phys. 208, No. 3, 1239--1255 (2021; Zbl 1482.81040); translation from Teor. Mat. Fiz. 208, No. 3, 452--470 (2021) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng A kind of generalized integrable couplings and their bi-Hamiltonian structure. (English) Zbl 1482.37065 Int. J. Theor. Phys. 60, No. 5, 1797-1812 (2021). MSC: 37K06 37K30 37K10 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Int. J. Theor. Phys. 60, No. 5, 1797--1812 (2021; Zbl 1482.37065) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Three kinds of nonisospectral integrable model of Wadati-Konno-Ichikawa soliton hierarchies. (English) Zbl 1479.37074 Rocky Mt. J. Math. 51, No. 4, 1489-1502 (2021). MSC: 37K10 37K30 17B80 35Q53 35Q51 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Rocky Mt. J. Math. 51, No. 4, 1489--1502 (2021; Zbl 1479.37074)
Zhang, Yu Feng; Zhang, Xiang Zhi A scheme for generating nonisospectral integrable hierarchies and its related applications. (English) Zbl 1480.35365 Acta Math. Sin., Engl. Ser. 37, No. 5, 707-730 (2021). Reviewer: Alessandro Selvitella (Fort Wayne) MSC: 35Q55 35Q51 35Q84 37K10 35R03 PDFBibTeX XMLCite \textit{Y. F. Zhang} and \textit{X. Z. Zhang}, Acta Math. Sin., Engl. Ser. 37, No. 5, 707--730 (2021; Zbl 1480.35365) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems. (English) Zbl 1467.37060 Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105822, 15 p. (2021). MSC: 37K06 37K10 37K30 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 99, Article ID 105822, 15 p. (2021; Zbl 1467.37060) Full Text: DOI
Lu, Huanhuan; Zhang, Yufeng Some generalized isospectral-nonisospectral integrable hierarchies. (English) Zbl 1467.37065 Commun. Nonlinear Sci. Numer. Simul. 100, Article ID 105851, 17 p. (2021). MSC: 37K30 37K10 37K35 35Q84 PDFBibTeX XMLCite \textit{H. Lu} and \textit{Y. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 100, Article ID 105851, 17 p. (2021; Zbl 1467.37065) Full Text: DOI
Xu, Wenxiang; Zhang, Yufeng; Jiang, Jinyang; Liu, Zhiyong; Jiao, Yang Thermal conductivity and elastic modulus of 3D porous/fractured media considering percolation. (English) Zbl 1504.74018 Int. J. Eng. Sci. 161, Article ID 103456, 15 p. (2021). MSC: 74F10 74Q15 74E30 74F05 74S60 PDFBibTeX XMLCite \textit{W. Xu} et al., Int. J. Eng. Sci. 161, Article ID 103456, 15 p. (2021; Zbl 1504.74018) Full Text: DOI
Lu, Huanhuan; Zhang, Yufeng New symmetries, group-invariant solutions, linear differential constraints of a generalized Burgers-KdV equation and its reduction. (English) Zbl 1455.35224 Int. J. Mod. Phys. B 35, No. 2, Article ID 2150031, 14 p. (2021). MSC: 35Q53 35B06 35Q35 PDFBibTeX XMLCite \textit{H. Lu} and \textit{Y. Zhang}, Int. J. Mod. Phys. B 35, No. 2, Article ID 2150031, 14 p. (2021; Zbl 1455.35224) Full Text: DOI
Liu, Wenhao; Zhang, Yufeng Resonant multiple wave solutions, complexiton solutions and rogue waves of a generalized \((3+1)\)-dimensional nonlinear wave in liquid with gas bubbles. (English) Zbl 1502.76021 Waves Random Complex Media 30, No. 3, 470-480 (2020). MSC: 76B25 76T10 35Q53 PDFBibTeX XMLCite \textit{W. Liu} and \textit{Y. Zhang}, Waves Random Complex Media 30, No. 3, 470--480 (2020; Zbl 1502.76021) Full Text: DOI
Lu, Huanhuan; Zhang, Yufeng; Mei, Jianqin A generalized isospectral-nonisospectral heat equation hierarchy and its expanding integrable model. (English) Zbl 1486.37038 Adv. Difference Equ. 2020, Paper No. 471, 24 p. (2020). MSC: 37K15 35Q51 37K35 35K05 PDFBibTeX XMLCite \textit{H. Lu} et al., Adv. Difference Equ. 2020, Paper No. 471, 24 p. (2020; Zbl 1486.37038) Full Text: DOI
Rui, Wenjuan; Zhang, Yufeng Soliton and lump-soliton solutions in the Grammian form for the Bogoyavlenskii-Kadomtsev-Petviashvili equation. (English) Zbl 1482.35196 Adv. Difference Equ. 2020, Paper No. 195, 12 p. (2020). MSC: 35Q51 35C08 37K40 37K10 PDFBibTeX XMLCite \textit{W. Rui} and \textit{Y. Zhang}, Adv. Difference Equ. 2020, Paper No. 195, 12 p. (2020; Zbl 1482.35196) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Generating nonisospectral integrable hierarchies via a new scheme. (English) Zbl 1482.37069 Adv. Difference Equ. 2020, Paper No. 170, 13 p. (2020). MSC: 37K10 37K30 35Q53 35Q51 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Adv. Difference Equ. 2020, Paper No. 170, 13 p. (2020; Zbl 1482.37069) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Two nonisospectral integrable hierarchies and its integrable coupling. (English) Zbl 1451.37087 Int. J. Theor. Phys. 59, No. 8, 2529-2539 (2020). Reviewer: Jipeng Cheng (Xuzhou) MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Int. J. Theor. Phys. 59, No. 8, 2529--2539 (2020; Zbl 1451.37087) Full Text: DOI
Wang, Haifeng; Zhang, Yufeng Residual symmetries and Bäcklund transformations of \((2+1)\)-dimensional strongly coupled Burgers system. (English) Zbl 1435.35024 Adv. Math. Phys. 2020, Article ID 6821690, 8 p. (2020). MSC: 35B06 35F50 58J72 PDFBibTeX XMLCite \textit{H. Wang} and \textit{Y. Zhang}, Adv. Math. Phys. 2020, Article ID 6821690, 8 p. (2020; Zbl 1435.35024) Full Text: DOI
Zhang, Yufeng; Mei, Jianqin; Guan, Hongyang A method for generating isospectral and nonisospectral hierarchies of equations as well as symmetries. (English) Zbl 1436.37083 J. Geom. Phys. 147, Article ID 103538, 15 p. (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K06 37K25 35Q51 70G65 PDFBibTeX XMLCite \textit{Y. Zhang} et al., J. Geom. Phys. 147, Article ID 103538, 15 p. (2020; Zbl 1436.37083) Full Text: DOI
Rui, Wenjuan; Zhang, Yufeng; Yang, Fan Group classification and conservation laws of a sixth-order thin film type equation. (English) Zbl 1394.35019 Nonlinear Anal., Real World Appl. 43, 467-476 (2018). MSC: 35B06 76A20 PDFBibTeX XMLCite \textit{W. Rui} et al., Nonlinear Anal., Real World Appl. 43, 467--476 (2018; Zbl 1394.35019) Full Text: DOI
Zhang, Yufeng; Zhang, Xiangzhi Two kinds of discrete integrable hierarchies of evolution equations and some algebraic-geometric solutions. (English) Zbl 1422.37049 Adv. Difference Equ. 2017, Paper No. 72, 18 p. (2017). MSC: 37K10 37K60 37K30 37K20 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{X. Zhang}, Adv. Difference Equ. 2017, Paper No. 72, 18 p. (2017; Zbl 1422.37049) Full Text: DOI
Zhang, Yu-Feng; Wang, Yan Generating integrable lattice hierarchies by some matrix and operator Lie algebras. (English) Zbl 1419.37067 Adv. Difference Equ. 2016, Paper No. 313, 28 p. (2016). MSC: 37K10 PDFBibTeX XMLCite \textit{Y.-F. Zhang} and \textit{Y. Wang}, Adv. Difference Equ. 2016, Paper No. 313, 28 p. (2016; Zbl 1419.37067) Full Text: DOI
Zhang, Yufeng; Rui, Wenjuan A few continuous and discrete dynamical systems. (English) Zbl 1351.37254 Rep. Math. Phys. 78, No. 1, 19-32 (2016). MSC: 37K10 81Q05 17B80 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Rui}, Rep. Math. Phys. 78, No. 1, 19--32 (2016; Zbl 1351.37254) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Tam} et al., Adv. Math. Phys. 2016, Article ID 7639013, 12 p. (2016; Zbl 1345.37066) Full Text: DOI
Zhang, Yufeng; Bai, Yang; Wu, Lixin Upon generating \((2+1)\)-dimensional dynamical systems. (English) Zbl 1343.37071 Int. J. Theor. Phys. 55, No. 6, 2837-2856 (2016). MSC: 37K30 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Theor. Phys. 55, No. 6, 2837--2856 (2016; Zbl 1343.37071) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-f. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 32, No. 2, 289--304 (2016; Zbl 1336.37056) Full Text: DOI
Zhang, Yufeng; Wu, Lixin Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy. (English) Zbl 1410.37062 Appl. Math. Comput. 268, 561-574 (2015). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{L. Wu}, Appl. Math. Comput. 268, 561--574 (2015; Zbl 1410.37062) Full Text: DOI
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 PDFBibTeX XMLCite \textit{B. Feng} and \textit{Y. Zhang}, Adv. Math. Phys. 2015, Article ID 154915, 8 p. (2015; Zbl 1337.37053) Full Text: DOI
Tian, Shoufu; Zhang, Yufeng; Feng, Binlu; Zhang, Hongqing On the Lie algebras, generalized symmetries and Darboux transformations of the fifth-order evolution equations in shallow water. (English) Zbl 1321.35190 Chin. Ann. Math., Ser. B 36, No. 4, 543-560 (2015). MSC: 35Q51 35Q53 35C99 68W30 74J35 37K35 35Q35 PDFBibTeX XMLCite \textit{S. Tian} et al., Chin. Ann. Math., Ser. B 36, No. 4, 543--560 (2015; Zbl 1321.35190) Full Text: DOI
Zhang, Yufeng; Rui, Wenjuan A few super-integrable hierarchies and some reductions, super-Hamiltonian structures. (English) Zbl 1315.37047 Rep. Math. Phys. 75, No. 2, 231-255 (2015). MSC: 37K10 17B80 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Rui}, Rep. Math. Phys. 75, No. 2, 231--255 (2015; Zbl 1315.37047) Full Text: DOI
Zhang, Yufeng; Rui, Wenjuan On generating (2+1)-dimensional hierarchies of evolution equations. (English) Zbl 1470.37091 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3454-3461 (2014). MSC: 37K10 35Q53 35A30 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{W. Rui}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3454--3461 (2014; Zbl 1470.37091) Full Text: DOI
Feng, Binlu; Zhang, Yufeng; Dong, Huanhe A few integrable couplings of some integrable systems and (\(2 + 1\))-dimensional integrable hierarchies. (English) Zbl 1474.37083 Abstr. Appl. Anal. 2014, Article ID 932672, 9 p. (2014). MSC: 37K10 17B80 37K30 47B47 PDFBibTeX XMLCite \textit{B. Feng} et al., Abstr. Appl. Anal. 2014, Article ID 932672, 9 p. (2014; Zbl 1474.37083) Full Text: DOI
Guo, Xiurong; Zhang, Yufeng; Zhang, Xuping Two expanding integrable models of the Geng-Cao hierarchy. (English) Zbl 1474.37084 Abstr. Appl. Anal. 2014, Article ID 860935, 7 p. (2014). MSC: 37K10 35A30 37K30 PDFBibTeX XMLCite \textit{X. Guo} et al., Abstr. Appl. Anal. 2014, Article ID 860935, 7 p. (2014; Zbl 1474.37084) Full Text: DOI
Rui, Wenjuan; Zhao, Peiyi; Zhang, Yufeng Invariant solutions and conservation laws of the (2 + 1)-dimensional Boussinesq equation. (English) Zbl 1474.35569 Abstr. Appl. Anal. 2014, Article ID 840405, 6 p. (2014). MSC: 35Q53 35A30 PDFBibTeX XMLCite \textit{W. Rui} et al., Abstr. Appl. Anal. 2014, Article ID 840405, 6 p. (2014; Zbl 1474.35569) Full Text: DOI
Zhao, Zhonglong; Zhang, Yufeng; Rui, Wenjuan Bäcklund transformation and solutions of a \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1338.37104 Appl. Math. Comput. 248, 456-462 (2014). MSC: 37K35 PDFBibTeX XMLCite \textit{Z. Zhao} et al., Appl. Math. Comput. 248, 456--462 (2014; Zbl 1338.37104) Full Text: DOI
Zhang, Yufeng; Zhao, Zhonglong; Wang, Guangming On generating linear and nonlinear integrable systems with variable coefficients. (English) Zbl 1335.37051 Appl. Math. Comput. 244, 672-682 (2014). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 244, 672--682 (2014; Zbl 1335.37051) Full Text: DOI
Zhang, Yufeng; Gao, Jing; Wang, Guangming Two \((2+1)\)-dimensional hierarchies of evolution equations and their Hamiltonian structures. (English) Zbl 1335.37050 Appl. Math. Comput. 243, 601-606 (2014). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 243, 601--606 (2014; Zbl 1335.37050) Full Text: DOI
Zhang, Yu-Feng; Wang, Yan; Feng, Bin-Lu; Mei, Jian-Qin Generations of integrable hierarchies and exact solutions of related evolution equations with variable coefficients. (English) Zbl 1304.35601 Acta Math. Appl. Sin., Engl. Ser. 30, No. 4, 1085-1106 (2014). MSC: 35Q51 35C05 35C07 37K10 35Q53 17B80 PDFBibTeX XMLCite \textit{Y.-F. Zhang} et al., Acta Math. Appl. Sin., Engl. Ser. 30, No. 4, 1085--1106 (2014; Zbl 1304.35601) Full Text: DOI
Zhang, Yufeng; Tam, Honwah Discussion on integrable properties for higher-dimensional variable-coefficient nonlinear partial differential equations. (English) Zbl 1298.37063 J. Math. Phys. 54, No. 1, 013516, 9 p. (2013). MSC: 37K10 37K35 35Q53 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, J. Math. Phys. 54, No. 1, 013516, 9 p. (2013; Zbl 1298.37063) Full Text: DOI
Zhang, Yufeng; Han, Zhong; Tam, Hon-Wah An integrable hierarchy and Darboux transformations, bilinear Bäcklund transformations of a reduced equation. (English) Zbl 1338.37098 Appl. Math. Comput. 219, No. 11, 5837-5848 (2013). MSC: 37K10 37K35 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 219, No. 11, 5837--5848 (2013; Zbl 1338.37098) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H.-W. Tam} and \textit{Y. Zhang}, J. Math. Phys. 53, No. 10, 103508, 25 p. (2012; Zbl 1297.37034) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Mod. Phys. B 25, No. 19, 2637--2656 (2011; Zbl 1333.37111) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Mod. Phys. B 25, No. 18, 2449--2460 (2011; Zbl 1333.37112) Full Text: DOI
Zhang, Yufeng; Tam, Honwah; Feng, Binlu A generalized Zakharov-Shabat equation with finite-band solutions and a soliton-equation hierarchy with an arbitrary parameter. (English) Zbl 1291.35325 Chaos Solitons Fractals 44, No. 11, 968-976 (2011). MSC: 35Q53 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Chaos Solitons Fractals 44, No. 11, 968--976 (2011; Zbl 1291.35325) Full Text: DOI Link
Zhang, Yufeng; Wang, Yan Expanding integrable models of the nonlinear Schrödinger equation. (English) Zbl 1221.37145 Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1195-1206 (2011). MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Wang}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 3, 1195--1206 (2011; Zbl 1221.37145) Full Text: DOI
Zhang, Yufeng; Feng, Binlu A few Lie algebras and their applications for generating integrable hierarchies of evolution types. (English) Zbl 1220.37064 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3045-3061 (2011). MSC: 37K30 37K40 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{B. Feng}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3045--3061 (2011; Zbl 1220.37064) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{E. Fan}, J. Math. Phys. 51, No. 8, 083506, 18 p. (2010; Zbl 1312.35156) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, J. Math. Phys. 51, No. 4, 043510, 18 p. (2010; Zbl 1310.37039) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, J. Math. Phys. 51, No. 9, 093514, 30 p. (2010; Zbl 1309.37066) Full Text: DOI
Zhang, Yufeng; Hon, Y. C.; Mei, Jianqin A systematic method for solving differential-difference equations. (English) Zbl 1222.37082 Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2791-2797 (2010). MSC: 37K60 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 10, 2791--2797 (2010; Zbl 1222.37082) Full Text: DOI
Hon, Y. C.; Zhang, Yufeng; Mei, Jianqin Exact solutions for differential-difference equations by Bäcklund transformation of Riccati equation. (English) Zbl 1203.82022 Mod. Phys. Lett. B 24, No. 27, 2713-2724 (2010). MSC: 82B20 37K10 37K35 37K40 37K60 PDFBibTeX XMLCite \textit{Y. C. Hon} et al., Mod. Phys. Lett. B 24, No. 27, 2713--2724 (2010; Zbl 1203.82022) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Mod. Phys. Lett. B 24, No. 14, 1573--1594 (2010; Zbl 1200.37066) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, Commun. Nonlinear Sci. Numer. Simul. 14, No. 11, 3770--3783 (2009; Zbl 1221.37144) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H.-W. Tam} and \textit{Y. Zhang}, Chaos Solitons Fractals 42, No. 3, 1670--1676 (2009; Zbl 1198.37100) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, Chaos Solitons Fractals 41, No. 5, 2241--2245 (2009; Zbl 1198.37102) Full Text: DOI
Guo, Fukui; Zhang, Yufeng A direct method for producing Hamiltonian structure of nonlinear evolution equations. (English) Zbl 1197.37075 Chaos Solitons Fractals 39, No. 1, 436-439 (2009). MSC: 37K10 35Q53 PDFBibTeX XMLCite \textit{F. Guo} and \textit{Y. Zhang}, Chaos Solitons Fractals 39, No. 1, 436--439 (2009; Zbl 1197.37075) Full Text: DOI
Xu, Xiuli; Gong, Xinbo; Zhang, Yufeng A new multi-component discrete integrable hierarchy and multi-component cubic Volterra integrable hierarchy as well as their coupling systems. (English) Zbl 1197.37096 Chaos Solitons Fractals 39, No. 1, 363-368 (2009). MSC: 37K60 37K10 37K30 PDFBibTeX XMLCite \textit{X. Xu} et al., Chaos Solitons Fractals 39, No. 1, 363--368 (2009; Zbl 1197.37096) Full Text: DOI
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 PDFBibTeX XMLCite \textit{H. Tam} and \textit{Y. Zhang}, Int. J. Mod. Phys. B 23, No. 24, 4855--4879 (2009; Zbl 1242.37049) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Int. J. Mod. Phys. B 23, No. 14, 3059--3072 (2009; Zbl 1170.37330) Full Text: DOI
Zhang, Yufeng; Tam, Honwah Applications of the Lie algebra \(gl(2)\). (English) Zbl 1167.37356 Mod. Phys. Lett. B 23, No. 14, 1763-1770 (2009). MSC: 37K30 37K10 37K35 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, Mod. Phys. Lett. B 23, No. 14, 1763--1770 (2009; Zbl 1167.37356) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 13, No. 4, 682--702 (2008; Zbl 1221.37147) Full Text: DOI
Zhang, Yufeng; Li, Yan A hierarchy of soliton equations associated with a higher-dimensional loop algebra and its tri-Hamiltonian structure. (English) Zbl 1154.37368 Mod. Phys. Lett. B 22, No. 19, 1837-1850 (2008). MSC: 37K10 17B80 37K30 35Q51 37K05 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. Li}, Mod. Phys. Lett. B 22, No. 19, 1837--1850 (2008; Zbl 1154.37368) Full Text: DOI
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 PDFBibTeX XMLCite \textit{F. Guo} and \textit{Y. Zhang}, Chaos Solitons Fractals 38, No. 2, 499--505 (2008; Zbl 1146.37353) Full Text: DOI
Xu, Xiuli; Gong, Xinbo; Zhang, Yufeng; Song, Ming A new higer-dimensional loop algebra and its application. (English) Zbl 1152.37028 Mod. Phys. Lett. B 22, No. 18, 1757-1765 (2008). MSC: 37K10 37K30 37K05 PDFBibTeX XMLCite \textit{X. Xu} et al., Mod. Phys. Lett. B 22, No. 18, 1757--1765 (2008; Zbl 1152.37028) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-F. Zhang} and \textit{X.-X. Xu}, Chaos Solitons Fractals 37, No. 4, 1059--1064 (2008; Zbl 1153.37424) Full Text: DOI
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 PDFBibTeX XMLCite \textit{F. Guo} and \textit{Y. Zhang}, Chaos Solitons Fractals 36, No. 4, 1113--1119 (2008; Zbl 1172.70009) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 3, 524--533 (2008; Zbl 1131.37303) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{Y. C. Hon}, Mod. Phys. Lett. B 21, No. 30, 2063--2074 (2007; Zbl 1141.37027) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{E. Fan}, Int. J. Mod. Phys. B 21, No. 22, 3809--3824 (2007; Zbl 1186.37084) Full Text: DOI
Zhang, Yufeng; Tam, Honwah Application of two loop algebras. (English) Zbl 1138.37333 Chaos Solitons Fractals 32, No. 2, 640-644 (2007). MSC: 37K30 37K10 35Q53 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H. Tam}, Chaos Solitons Fractals 32, No. 2, 640--644 (2007; Zbl 1138.37333) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y.-F. Zhang} et al., Chaos Solitons Fractals 34, No. 3, 914--918 (2007; Zbl 1134.37033) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Chao} and \textit{Y. Zhang}, Chaos Solitons Fractals 32, No. 4, 1477--1484 (2007; Zbl 1129.37038) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang}, Mod. Phys. Lett. B 21, No. 1, 37--44 (2007; Zbl 1115.37060) Full Text: DOI
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 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{E. Fan}, Phys. Lett., A 348, No. 3--6, 180--186 (2006; Zbl 1195.37044) Full Text: DOI
Ma, Wen-Xiu; Xu, Xi-Xiang; Zhang, Yufeng Semidirect sums of Lie algebras and discrete integrable couplings. (English) Zbl 1111.37059 J. Math. Phys. 47, No. 5, 053501, 16 p. (2006). MSC: 37K60 17B80 37K10 37K30 81R12 PDFBibTeX XMLCite \textit{W.-X. Ma} et al., J. Math. Phys. 47, No. 5, 053501, 16 p. (2006; Zbl 1111.37059) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{E. Fan} and \textit{Y. Zhang}, Chaos Solitons Fractals 28, No. 4, 966--971 (2006; Zbl 1106.37045) Full Text: DOI
Zhang, Yufeng; Guo, Xiurong A (2 + 1)-dimensional integrable hierarchy and its extending integrable model. (English) Zbl 1082.37066 Chaos Solitons Fractals 27, No. 2, 555-559 (2006). MSC: 37K10 37K30 81R12 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{X. Guo}, Chaos Solitons Fractals 27, No. 2, 555--559 (2006; Zbl 1082.37066) Full Text: DOI
Fan, Engui; Zhang, Yufeng A simple method for generating integrable hierarchies with multi-potential functions. (English) Zbl 1092.37044 Chaos Solitons Fractals 25, No. 2, 425-439 (2005). MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{E. Fan} and \textit{Y. Zhang}, Chaos Solitons Fractals 25, No. 2, 425--439 (2005; Zbl 1092.37044) Full Text: DOI
Tam, Hon-Wah; Zhang, Yu-Feng A general method for generating multicomponent integrable hierarchies. (English) Zbl 1135.37330 Chaos Solitons Fractals 23, No. 3, 963-971 (2005). MSC: 37K10 37K30 PDFBibTeX XMLCite \textit{H.-W. Tam} and \textit{Y.-F. Zhang}, Chaos Solitons Fractals 23, No. 3, 963--971 (2005; Zbl 1135.37330) Full Text: DOI
Zhang, Yufeng; Tam, Hon-Wah The multi-component KdV hierarchy and its multi-component integrable coupling system. (English) Zbl 1071.37050 Chaos Solitons Fractals 23, No. 2, 651-655 (2005). MSC: 37K10 PDFBibTeX XMLCite \textit{Y. Zhang} and \textit{H.-W. Tam}, Chaos Solitons Fractals 23, No. 2, 651--655 (2005; Zbl 1071.37050) Full Text: DOI
Guo, Fukui; Zhang, Yufeng A new loop algebra and its subalgebras. (English) Zbl 1055.37068 Chaos Solitons Fractals 22, No. 5, 1063-1069 (2004). MSC: 37K30 37K10 17B80 PDFBibTeX XMLCite \textit{F. Guo} and \textit{Y. Zhang}, Chaos Solitons Fractals 22, No. 5, 1063--1069 (2004; Zbl 1055.37068) Full Text: DOI