Ding, Qing; Zhong, Shiping The complex 2-sphere in \(\mathbb{C}^3\) and Schrödinger flows. (English) Zbl 1435.53074 Sci. China, Math. 63, No. 4, 777-788 (2020). MSC: 53E99 53C56 53A04 35Q60 34L40 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{S. Zhong}, Sci. China, Math. 63, No. 4, 777--788 (2020; Zbl 1435.53074) Full Text: DOI
Ding, Qing; Wang, Youde Vortex filament on symmetric Lie algebras and generalized bi-Schrödinger flows. (English) Zbl 1410.53064 Math. Z. 290, No. 1-2, 167-193 (2018). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 53C44 53A04 53C35 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Y. Wang}, Math. Z. 290, No. 1--2, 167--193 (2018; Zbl 1410.53064) Full Text: DOI
Ding, Qing; Zhong, Shiping The almost complex structure on \(\mathbb{S}^6\) and related Schrödinger flows. (English) Zbl 1408.32025 Int. J. Math. 29, No. 14, Article ID 1850099, 21 p. (2018). MSC: 32Q60 53C44 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{S. Zhong}, Int. J. Math. 29, No. 14, Article ID 1850099, 21 p. (2018; Zbl 1408.32025) Full Text: DOI
Ding, Qing Bounded harmonic functions on complete manifolds of nonpositive curvature. (English) Zbl 1380.58022 Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-349-4/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 37, 69-78 (2017). MSC: 58J50 58J05 53C43 53C20 PDF BibTeX XML Cite \textit{Q. Ding}, in: Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14--19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press. 69--78 (2017; Zbl 1380.58022)
Ding, Qing; He, Zhizhou The noncommutative KdV equation and its para-Kähler structure. (English) Zbl 1302.37045 Sci. China, Math. 57, No. 7, 1505-1516 (2014). MSC: 37K25 37K30 37K10 53C44 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Z. He}, Sci. China, Math. 57, No. 7, 1505--1516 (2014; Zbl 1302.37045) Full Text: DOI
Ding, Qing; Liu, Xiangping; Wang, Wei The vortex filament in the Minkowski 3-space and generalized bi-Schrödinger maps. (English) Zbl 1339.58004 J. Phys. A, Math. Theor. 45, No. 45, Article ID 455201, 14 p. (2012). MSC: 58D30 PDF BibTeX XML Cite \textit{Q. Ding} et al., J. Phys. A, Math. Theor. 45, No. 45, Article ID 455201, 14 p. (2012; Zbl 1339.58004) Full Text: DOI
Ding, Qing Bounded harmonic functions on Riemannian manifolds of nonpositive curvature. (English) Zbl 1262.53034 Math. Ann. 353, No. 3, 803-826 (2012). Reviewer: Jesus Muciño-Raymundo (Morelia) MSC: 53C21 58J50 PDF BibTeX XML Cite \textit{Q. Ding}, Math. Ann. 353, No. 3, 803--826 (2012; Zbl 1262.53034) Full Text: DOI
Ding, Qing; Wang, Wei; Wang, Youde The Fukumoto-Moffatt’s model in the vortex filament and generalized bi-Schrödinger maps. (English) Zbl 1242.81086 Phys. Lett., A 375, No. 12, 1457-1460 (2011). MSC: 81Q35 81Q05 81Q70 81S10 PDF BibTeX XML Cite \textit{Q. Ding} et al., Phys. Lett., A 375, No. 12, 1457--1460 (2011; Zbl 1242.81086) Full Text: DOI
Ding, Qing; Wang, Youde Geometric KdV flows, motions of curves and the third-order system of the AKNS hierarchy. (English) Zbl 1228.37048 Int. J. Math. 22, No. 7, 1013-1029 (2011). MSC: 37K10 37K25 53D05 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Y. Wang}, Int. J. Math. 22, No. 7, 1013--1029 (2011; Zbl 1228.37048) Full Text: DOI
Ding, Qing; Wang, Wei; Wang, Youde A motion of spacelike curves in the Minkowski 3-space and the KdV equation. (English) Zbl 1238.35129 Phys. Lett., A 374, No. 31-32, 3201-3205 (2010). MSC: 35Q53 35C08 58Jxx PDF BibTeX XML Cite \textit{Q. Ding} et al., Phys. Lett., A 374, No. 31--32, 3201--3205 (2010; Zbl 1238.35129) Full Text: DOI
Ding, Qing Explicit blow-up solutions to the Schrödinger maps from \(\mathbb R^2\) to the hyperbolic 2-space \(H^2\). (English) Zbl 1260.35200 J. Math. Phys. 50, No. 10, 103507, 17 p. (2009). MSC: 35Q55 35B44 58E50 PDF BibTeX XML Cite \textit{Q. Ding}, J. Math. Phys. 50, No. 10, 103507, 17 p. (2009; Zbl 1260.35200) Full Text: DOI arXiv
Ding, Qing; Lin, Wei The transmission property of the discrete Heisenberg ferromagnetic spin chain. (English) Zbl 1152.81401 J. Math. Phys. 49, No. 9, 093501, 13 p. (2008). MSC: 82C20 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{W. Lin}, J. Math. Phys. 49, No. 9, 093501, 13 p. (2008; Zbl 1152.81401) Full Text: DOI
Ding, Qing Chaotic properties between the nonintegrable discrete nonlinear Schrödinger equation and a nonintegrable discrete Heisenberg model. (English) Zbl 1129.37012 J. Phys. A, Math. Theor. 40, No. 9, 1991-2011 (2007). MSC: 37D45 37J35 81R12 82B20 PDF BibTeX XML Cite \textit{Q. Ding}, J. Phys. A, Math. Theor. 40, No. 9, 1991--2011 (2007; Zbl 1129.37012) Full Text: DOI
Wu, Jun-Yi; Ding, Qing; Tenenblat, Keti On differential equations describing 3-dimensional hyperbolic spaces. (English) Zbl 1170.35513 Commun. Theor. Phys. 45, No. 1, 135-142 (2006). MSC: 35Q53 37K25 35Q55 53A35 PDF BibTeX XML Cite \textit{J.-Y. Wu} et al., Commun. Theor. Phys. 45, No. 1, 135--142 (2006; Zbl 1170.35513) Full Text: DOI
Ding, Qing; Inoguchi, Jun-ichi Schrödinger flows, binormal motion for curves and the second AKNS-hierarchies. (English) Zbl 1048.37058 Chaos Solitons Fractals 21, No. 3, 669-677 (2004). MSC: 37K10 37K25 53C55 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{J.-i. Inoguchi}, Chaos Solitons Fractals 21, No. 3, 669--677 (2004; Zbl 1048.37058) Full Text: DOI
Ding, Qing; Zhu, Zuonong The gauge equivalent structure of the Landau-Lifshitz equation and its applications. (English) Zbl 1071.82573 J. Phys. Soc. Japan 72, No. 1, 49-53 (2003). MSC: 82D40 35Q55 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Z. Zhu}, J. Phys. Soc. Japan 72, No. 1, 49--53 (2003; Zbl 1071.82573) Full Text: DOI
Zhu, Zuonong; Tam, Honwah; Ding, Qing Infinitely many conservation laws for two integrable lattice hierarchies associated with a new discrete Schrödinger spectral problem. (English) Zbl 1020.37045 Phys. Lett., A 310, No. 4, 281-294 (2003). MSC: 37K10 81Q05 35P05 81Q10 PDF BibTeX XML Cite \textit{Z. Zhu} et al., Phys. Lett., A 310, No. 4, 281--294 (2003; Zbl 1020.37045) Full Text: DOI
Ding, Qing; Zhu, Zuonong A geometric characterization of the nonlinear Schrödinger equation. (English) Zbl 1099.37055 Sci. China, Ser. A 45, No. 10, 1225-1237 (2002). MSC: 37K25 35Q55 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Z. Zhu}, Sci. China, Ser. A 45, No. 10, 1225--1237 (2002; Zbl 1099.37055) Full Text: DOI
Ding, Qing The Landau-Lifshitz equation and its gauge equivalent structure. (English) Zbl 1009.35079 Chen, Shuxing (ed.) et al., Geometry and nonlinear partial differential equations. Dedicated to Professor Buqing Su in honor of his 100th birthday. Proceedings of the conference, Zhejiang University, Zhejiang, China, July 30-31, 2001. Providence, RI: American Mathematical Society (AMS). AMS/IP Stud. Adv. Math. 29, 27-30 (2002). MSC: 35Q55 37K05 PDF BibTeX XML Cite \textit{Q. Ding}, AMS/IP Stud. Adv. Math. 29, 27--30 (2002; Zbl 1009.35079)
Zhu, Zuonong; Wu, Xiaonan; Xue, Weimin; Ding, Qing Infinitely many conservation laws of two Blaszak-Marciniak three-field lattice hierarchies. (English) Zbl 1068.70021 Phys. Lett., A 297, No. 5-6, 387-395 (2002). MSC: 70H33 PDF BibTeX XML Cite \textit{Z. Zhu} et al., Phys. Lett., A 297, No. 5--6, 387--395 (2002; Zbl 1068.70021) Full Text: DOI
Ding, Qing; Zhu, Zuonong On the gauge equivalent structure of the modified nonlinear Schrödinger equation. (English) Zbl 1041.35071 Phys. Lett., A 295, No. 4, 192-197 (2002). MSC: 35Q55 35Q51 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Z. Zhu}, Phys. Lett., A 295, No. 4, 192--197 (2002; Zbl 1041.35071) Full Text: DOI
Ding, Q.; Tenenblat, K. Gauge equivalence of differential equations describing surfaces of constant Gaussian curvature. (English) Zbl 1027.53005 Int. J. Differ. Equ. Appl. 4, No. 3, 273-284 (2002). Reviewer: Dimitar A.Kolev (Sofia) MSC: 53A10 35Q58 35A25 35Q55 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{K. Tenenblat}, Int. J. Differ. Equ. Appl. 4, No. 3, 273--284 (2002; Zbl 1027.53005)
Ding, Qing Schrödinger flow and its applications in integrable systems. (English) Zbl 1046.37040 Cheng, Qing-Ming (ed.), Differential geometry. Proceedings of the first international symposium, Josai University, Saitama, Japan, February 22–24, 2001. Saitama: Josai University, Graduate School of Science. Josai Math. Monogr. 3, 23-36 (2001). Reviewer: Catalin Popa (Iaşi) MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{Q. Ding}, in: Differential geometry. Proceedings of the first international symposium, Josai University, Saitama, Japan, February 22--24, 2001. Saitama: Josai University, Graduate School of Science. 23--36 (2001; Zbl 1046.37040)
Ding, Qing A discretization of the matrix nonlinear Schrödinger equation. (English) Zbl 0970.39016 J. Phys. A, Math. Gen. 33, No. 38, 6769-6778 (2000). Reviewer: B.G.Pachpatte (Aurangabad) MSC: 39A12 35Q55 37K10 PDF BibTeX XML Cite \textit{Q. Ding}, J. Phys. A, Math. Gen. 33, No. 38, 6769--6778 (2000; Zbl 0970.39016) Full Text: DOI
Ding, Qing The \(\text{NLS}^-\) equation and its \(\text{SL}(2,{\mathbb{R}})\) structure. (English) Zbl 0960.35092 J. Phys. A, Math. Gen. 33, No. 34, L325-L329 (2000). MSC: 35Q55 37K25 37K10 PDF BibTeX XML Cite \textit{Q. Ding}, J. Phys. A, Math. Gen. 33, No. 34, L325--L329 (2000; Zbl 0960.35092) Full Text: DOI
Ding, Qing On the gauge equivalent structure of the discrete nonlinear Schrödinger equation. (English) Zbl 0949.37048 Phys. Lett., A 266, No. 2-3, 146-154 (2000). MSC: 37K10 35Q55 PDF BibTeX XML Cite \textit{Q. Ding}, Phys. Lett., A 266, No. 2--3, 146--154 (2000; Zbl 0949.37048) Full Text: DOI
Ding, Qing The gauge equivalence of the NLS and the Schrödinger flow of maps in \(2+1\) dimensions. (English) Zbl 0941.35104 J. Phys. A, Math. Gen. 32, No. 27, 5087-5096 (1999). MSC: 35Q55 37K10 35Q53 81Q05 82B20 PDF BibTeX XML Cite \textit{Q. Ding}, J. Phys. A, Math. Gen. 32, No. 27, 5087--5096 (1999; Zbl 0941.35104) Full Text: DOI
Ding, Qing; Zhang, Yongqian Local isometric embeddings of surfaces into a 3-space. (English) Zbl 0967.53039 Chin. Ann. Math., Ser. B 20, No. 2, 215-222 (1999). Reviewer: A.Neagu (Iaşi) MSC: 53C40 53C20 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{Y. Zhang}, Chin. Ann. Math., Ser. B 20, No. 2, 215--222 (1999; Zbl 0967.53039) Full Text: DOI
Ding, Qing A note on the NLS and the Schrödinger flow of maps. (English) Zbl 1115.35368 Phys. Lett., A 248, No. 1, 49-56 (1998). MSC: 35Q55 PDF BibTeX XML Cite \textit{Q. Ding}, Phys. Lett., A 248, No. 1, 49--56 (1998; Zbl 1115.35368) Full Text: DOI
Ding, Qing On harmonic maps into gauge groups. (English) Zbl 0934.58017 J. Math. Phys. 39, No. 12, 6684-6695 (1998). MSC: 58E20 81R50 22E67 53C20 PDF BibTeX XML Cite \textit{Q. Ding}, J. Math. Phys. 39, No. 12, 6684--6695 (1998; Zbl 0934.58017) Full Text: DOI
Ding, Qing On the Cauchy problem for harmonic maps from two-dimensional curved Lorentzian manifolds. (Chinese) Zbl 0885.53066 Chin. Ann. Math., Ser. A 17, No. 1, 73-78 (1996). Reviewer: Hui Li Liu (Shenyang) MSC: 53C50 58E20 35L15 PDF BibTeX XML Cite \textit{Q. Ding}, Chin. Ann. Math., Ser. A 17, No. 1, 73--78 (1996; Zbl 0885.53066)
Ding, Qing; Lu, Baoqun On harmonic maps from \(R^{1,1}\) into Hilbert loop groups. (English) Zbl 0871.58024 J. Math. Phys. 37, No. 8, 4076-4088 (1996). Reviewer: Pan Yanglian (Shanghai) MSC: 58E20 53C50 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{B. Lu}, J. Math. Phys. 37, No. 8, 4076--4088 (1996; Zbl 0871.58024) Full Text: DOI
Ding, Qing; Wang, Jiantian A remark on harmonic maps between pseudo-Riemannian spheres. (English) Zbl 0863.58019 Northeast. Math. J. 12, No. 2, 217-221 (1996). MSC: 58E20 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{J. Wang}, Northeast. Math. J. 12, No. 2, 217--221 (1996; Zbl 0863.58019)
Ding, Qing; Zhou, Detang The existence of bounded harmonic functions on C-H manifolds. (English) Zbl 0885.53036 Bull. Aust. Math. Soc. 53, No. 2, 197-207 (1996). Reviewer: W.Ballmann (Bonn) MSC: 53C20 31C05 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{D. Zhou}, Bull. Aust. Math. Soc. 53, No. 2, 197--207 (1996; Zbl 0885.53036) Full Text: DOI
Ding, Qing; Hong, Jianqiao Isotropic maps and pseudo-Veronese manifolds. (Chinese) Zbl 0839.53043 Chin. Ann. Math., Ser. A 16, No. 5, 632-639 (1995). Reviewer: Shen Yi-Bing (Hangzhou) MSC: 53C42 53C50 PDF BibTeX XML Cite \textit{Q. Ding} and \textit{J. Hong}, Chin. Ann. Math., Ser. A 16, No. 5, 632--639 (1995; Zbl 0839.53043)
Ding, Qing On spectral characterizations of minimal hypersurfaces in a sphere. (English) Zbl 0826.58009 Kodai Math. J. 17, No. 2, 320-328 (1994). Reviewer: D.Ferus (Berlin) MSC: 58C40 53C42 53C40 PDF BibTeX XML Cite \textit{Q. Ding}, Kodai Math. J. 17, No. 2, 320--328 (1994; Zbl 0826.58009) Full Text: DOI
Ding, Qing A new Laplacian comparison theorem and the estimate of eigenvalues. (English) Zbl 0798.53048 Chin. Ann. Math., Ser. B 15, No. 1, 35-42 (1994). MSC: 53C21 58J50 PDF BibTeX XML Cite \textit{Q. Ding}, Chin. Ann. Math., Ser. B 15, No. 1, 35--42 (1994; Zbl 0798.53048) Full Text: DOI
Ding, Qing The Dirichlet problem at infinity for manifolds of nonpositive curvature. (English) Zbl 0786.53021 Gu, C. H. (ed.) et al., Differential geometry. Proceedings of the symposium in honour of Professor Su Buchin on his 90th birthday, Shanghai, China, September 17-23, 1991. Singapore: World Scientific. 48-58 (1993). Reviewer: V.V.Goldberg (Newark / New Jersey) MSC: 53C20 58J50 31C35 60J50 PDF BibTeX XML Cite \textit{Q. Ding}, in: Differential geometry. Proceedings of the symposium in honour of Professor Su Buchin on his 90th birthday, Shanghai, China, September 17- 23, 1991. Singapore: World Scientific. 48--58 (1993; Zbl 0786.53021)