Xu, Xi-Xiang A note on “New hierarchies of integrable lattice equations and associated properties: Darboux transformation conservation laws and integrable coupling”. (English) Zbl 1384.37091 Rep. Math. Phys. 78, No. 3, 339-343 (2016). MSC: 37K10 37K35 37K05 PDFBibTeX XMLCite \textit{X.-X. Xu}, Rep. Math. Phys. 78, No. 3, 339--343 (2016; Zbl 1384.37091) Full Text: DOI
Li, Yu-Qing; Xu, Xi-Xiang A hierarchy of Liouville integrable lattice equation associated with a three-by-three discrete spectral problem and its infinitely many conservation laws. (English) Zbl 1333.37108 Int. J. Mod. Phys. B 25, No. 18, 2481-2492 (2011). MSC: 37K10 37K05 35Q51 35L60 PDFBibTeX XMLCite \textit{Y.-Q. Li} and \textit{X.-X. Xu}, Int. J. Mod. Phys. B 25, No. 18, 2481--2492 (2011; Zbl 1333.37108) Full Text: DOI
Xu, Xi-Xiang An integrable coupling family of the Toda lattice systems, its bi-Hamiltonian structure, and a related nonisospectral integrable lattice family. (English) Zbl 1309.37064 J. Math. Phys. 51, No. 3, 033522, 18 p. (2010). MSC: 37K10 37K05 PDFBibTeX XMLCite \textit{X.-X. Xu}, J. Math. Phys. 51, No. 3, 033522, 18 p. (2010; Zbl 1309.37064) Full Text: DOI
Xu, Xi-Xiang An integrable coupling family of Merola-Ragnisco-Tu lattice systems, its Hamiltonian structure and related nonisospectral integrable lattice family. (English) Zbl 1235.37023 Phys. Lett., A 374, No. 3, 401-410 (2010). MSC: 37K10 37K05 70H05 PDFBibTeX XMLCite \textit{X.-X. Xu}, Phys. Lett., A 374, No. 3, 401--410 (2010; Zbl 1235.37023) Full Text: DOI
Xu, Xi-Xiang A three-parameter difference Hamiltonian operator, corresponding pair of Hamiltonian operators and a family of Liouville integrable lattice equations. (English) Zbl 1221.37154 Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1116-1123 (2010). MSC: 37K60 37K05 37K10 37K15 39A70 PDFBibTeX XMLCite \textit{X.-X. Xu}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 5, 1116--1123 (2010; Zbl 1221.37154) Full Text: DOI
Yang, Hong-Xiang; Du, Jun; Xu, Xi-Xiang; Cui, Jin-Ping Hamiltonian and super-Hamiltonian systems of a hierarchy of soliton equations. (English) Zbl 1202.35205 Appl. Math. Comput. 217, No. 4, 1497-1508 (2010). MSC: 35Q51 37K05 37K10 PDFBibTeX XMLCite \textit{H.-X. Yang} et al., Appl. Math. Comput. 217, No. 4, 1497--1508 (2010; Zbl 1202.35205) Full Text: DOI
Xu, Xi-Xiang; Yang, Hong-Xiang; Lu, Rong-Wu Hamiltonian forms for a hierarchy of discrete integrable coupling systems. (English) Zbl 1392.37082 Commun. Theor. Phys. 50, No. 6, 1269-1275 (2008). MSC: 37K60 37K05 PDFBibTeX XMLCite \textit{X.-X. Xu} et al., Commun. Theor. Phys. 50, No. 6, 1269--1275 (2008; Zbl 1392.37082) Full Text: DOI
Li, Xin-Yue; Xu, Xi-Xiang; Zhao, Qiu-Lan Two hierarchies of integrable lattice equations associated with a discrete matrix spectral problem. (English) Zbl 1223.37085 Phys. Lett., A 372, No. 33, 5417-5426 (2008). MSC: 37K10 37K05 15A18 PDFBibTeX XMLCite \textit{X.-Y. Li} et al., Phys. Lett., A 372, No. 33, 5417--5426 (2008; Zbl 1223.37085) Full Text: DOI
Li, Xinyue; Xu, Xixiang; Zhao, Qiulan A family of new discrete generalized Hamiltonian integrable systems and integrable coupling systems. (Chinese. English summary) Zbl 1199.37130 J. Sichuan Norm. Univ., Nat. Sci. 31, No. 1, 60-64 (2008). MSC: 37K05 37K10 PDFBibTeX XMLCite \textit{X. Li} et al., J. Sichuan Norm. Univ., Nat. Sci. 31, No. 1, 60--64 (2008; Zbl 1199.37130)
Ding, Hai-Yong; Sun, Ye-Peng; Xu, Xi-Xiang A hierarchy of nonlinear lattice soliton equations, its integrable coupling systems and infinitely many conservation laws. (English) Zbl 1144.37452 Chaos Solitons Fractals 30, No. 1, 227-234 (2006). MSC: 37K60 37K05 37K10 35Q51 PDFBibTeX XMLCite \textit{H.-Y. Ding} et al., Chaos Solitons Fractals 30, No. 1, 227--234 (2006; Zbl 1144.37452) Full Text: DOI
Yang, Hongxiang; Xu, Xixiang Hamiltonian structure and infinite number of conservation laws for the coupled discrete KdV equations. (English) Zbl 1064.35174 Appl. Math., Ser. B (Engl. Ed.) 19, No. 4, 374-380 (2004). MSC: 35Q53 37K05 PDFBibTeX XMLCite \textit{H. Yang} and \textit{X. Xu}, Appl. Math., Ser. B (Engl. Ed.) 19, No. 4, 374--380 (2004; Zbl 1064.35174) Full Text: DOI
Xu, Xixiang A series of hierarchies of Liouville integrable finite-dimensional Hamiltonian systems. (English) Zbl 0946.37031 J. Syst. Sci. Math. Sci. 18, No. 2, 133-139 (1998). MSC: 37K05 37K10 PDFBibTeX XMLCite \textit{X. Xu}, J. Syst. Sci. Math. Sci. 18, No. 2, 133--139 (1998; Zbl 0946.37031)