Li, Yuqi ( 李玉奇 )
| Title： | Associate Professor |
|---|---|
| Department： | Applied Mathematics |
| Office： | Room 113, Stat Building |
| Telephone： | 54342646-513 |
| Email： | yqli@sei.ecnu.edu.cn |
| Homepage： | http://math.ecnu.edu.cn/~yqli |
| Homepage2： | https://faculty.ecnu.edu.cn/_s42/lyq2/main.psp |
Research Interest
Mathematical Physics
Resume
Phd: Institue of Theoretical Physics, CAS, 1998.9-2003.7
Postdoctor: Academy of Mathematics and System Science, CAS, 2003.7-2005.7
Visiting scholar: IUPUI, 2016.9-2017.10
Selected Publications
Selected works of Li:
| 2023 | Numerical finite-gap integration of the Zabusky-Kruskal problem | Li |
| 2022 | Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations | E. Basor, T. Ehrhardt, R. Gharakhloo, A. Its, and Li |
| 2019 | The special class of second integrals of the KdV equation | Li, and Y.Chen |
| 2019 | Smooth solutions of the tt* equation: a numerical aided case study | Li |
| 2018 | On the open question of the Tracy-Widom distribution of beta-ensemble with beta=6 | Li |
| 2016 | One-dimensional optimal system and similarity reductions of Wu-Zhang equation | N.Xiong, Li, J.C.Chen, and Y.Chen |
| 2016 | Constructing two-dimensional optimal system of the group invariant solutions | X.R.Hu, Li, and Y.Chen |
| 2015 | A direct algorithm of one-dimensional optimal system for the group invariant solutions | X.R.Hu, Li, and Y.Chen |
| 2014 | An integrable discrete generalized nonlinear Schrodinger equation and its reductions | H.M. Li, Li, and Y.Chen |
| 2014 | Darboux transformations via Lie point symmetries: KdV equation | Li, J.C.Chen, Y.Chen, and S.Y.Lou |
| 2013 | Some numerical results for Ito equation | Li, and B. Li |
| 2012 | Demonstration of the Gunnarsson-Lundqvist theorem and the multiplicity of potentials for excited states | Li, X.Y.Pan, B.Li, and V.Sahni |
| 2011 | Constraints and soliton solutions for KdV hierarchy and AKNS hierarchy | N.H.Li, and Li |
| 2010 | Constraints for evolution equations with some special forms of Lax pairs and distinguishing Lax pairs by available constraints | Li, B.Li, and S.Y.Lou |
| 2008 | Interaction between soliton and periodic Wave | Li |
| 2007 | Conservation laws of discrete Lax equations | Li, Y.Chen, and B.Li |
| 2004 | Analytic proofs for sums of infinite series and decoupling of regulators in loop regularization | Li, Y.L. Wu and Y.Zhang. |
| 2004 | Convert simple symplectic scheme to basic symplectic scheme | Li (in Chinese) |
Recent Publications(From MathSciNet)
MR4765505
Reviewed
Li, Yuqi Smooth solutions of the tt* equation: a numerical aided case study.
SIGMA Symmetry Integrability Geom. Methods Appl. 20 (2024), Paper No. 057, 28 pp. 34M30 (33E17 34M56 35Q51 35R02 37K10 65L05)
Publication Year 2024
Indexed 2024-08-30
Review Published2025-04-28
MR4664051
Reviewed
Li, YuQi Numerical finite-gap integration of the Zabusky-Kruskal problem.
Nonlinearity 36 (2023), no. 12, 6260–6296. (Reviewer: Baver Okutmustur) 35Q53 (35Q30 37K15 65M32)
Publication Year 2023
Indexed 2023-12-21
Review Published2024-07-17
MR4386372
Reviewed
Basor, Estelle; Ehrhardt, Torsten; Gharakhloo, Roozbeh; Its, Alexander; Li, Yuqi Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations.
J. Stat. Phys. 187 (2022), no. 1, Paper No. 8, 49 pp. (Reviewer: Christian Tutschka) 47B35 (15A15 15B05 15B52 82B20)
Publication Year 2022
Indexed 2022-04-08
Review Published2022-07-26
MR4283900
Indexed
Chen, Yin; Pan, Xiao-Yin; Li, Yu-Qi Electron transmission through a quantum point contact in a tilted magnetic field and a crossed electric field: Fertig-Halperin transformation and its extension.
Phys. Lett. A 410 (2021), Paper No. 127540, 7 pp. 81Q80
Publication Year 2021
Indexed 2021-08-31
MR4213828
Indexed
Pan, Xiao-Yin; Chen, Yin; Li, Yu-Qi; Kogan, Aaron G.; Wu, Juhao On the gauge transformation for the rotation of the singular string in the Dirac monopole theory.
Internat. J. Modern Phys. A 36 (2021), no. 3, Paper No. 2150019, 13 pp. 81V10 (81Q80)
Publication Year 2021
Indexed 2021-05-12
MR3905298
Indexed
Pan, Xiao-Yin; Zhu, Jie-Jie; Li, Yu-Qi The effective Hamiltonian and propagator of a parabolic confined dissipative electron under a perpendicular magnetic field.
Phys. A 521 (2019), 293–309. 82C10
Publication Year 2019
Indexed 2019-04-09
MR3872550
Indexed
Li, YuQi; Chen, Yong The special class of second integrals of the KdV equation.
Commun. Nonlinear Sci. Numer. Simul. 70 (2019), 193–202. 35Q53 (34A05)
Publication Year 2019
Indexed 2019-01-22
MR3617965
Reviewed
Xiong, Na; Li, Yu-Qi; Chen, Jun-Chao; Chen, Yong One-dimensional optimal system and similarity reductions of Wu-Zhang equation.
Commun. Theor. Phys. (Beijing) 66 (2016), no. 1, 1–11. 35Q53 (35A30 76M60)
Publication Year 2016
Indexed 2017-05-15
Review Published2017-05-25
MR3476109
Indexed
Lai, Meng-Yun; Pan, Xiao-Yin; Li, Yu-Qi Wave function for dissipative harmonically confined electrons in a time-dependent electric field.
Phys. A 453 (2016), 305–315. 81V10
Publication Year 2016
Indexed 2016-06-22
MR3461025
Reviewed
Hu, Xiaorui; Li, Yuqi; Chen, Yong Constructing two-dimensional optimal system of the group invariant solutions.
J. Math. Phys. 57 (2016), no. 2, 023518, 22 pp. 81Q80
Publication Year 2016
Indexed 2016-05-13
Review Published2016-06-13
MR3396342
Reviewed
Hu, Xiaorui; Li, Yuqi Nonlocal symmetry and soliton-cnoidal wave solutions of the Bogoyavlenskii coupled KdV system.
Appl. Math. Lett. 51 (2016), 20–26. 35Q53 (35A30 35C08)
Publication Year 2016
Indexed 2015-11-30
Review Published2015-12-16
MR3526733
Reviewed
Li, Hong-Min; Li, Yu-Qi; Chen, Yong Reciprocal transformations of two Camassa-Holm type equations.
Commun. Theor. Phys. (Beijing) 64 (2015), no. 6, 619–622. 35Q53 (37K10)
Publication Year 2015
Indexed 2016-11-15
Review Published2016-11-28
MR3496198
Reviewed
Li, Hong-Min; Li, Yu-Qi; Chen, Yong Dual hierarchies of a multi-component Camassa-Holm system.
Commun. Theor. Phys. (Beijing) 64 (2015), no. 4, 372–378. 37K10 (35Q53)
Publication Year 2015
Indexed 2016-08-22
Review Published2016-08-30
MR3391007
Reviewed
Hu, Xiaorui; Li, Yuqi; Chen, Yong A direct algorithm of one-dimensional optimal system for the group invariant solutions.
J. Math. Phys. 56 (2015), no. 5, 053504, 17 pp. 35A30 (35Q53)
Publication Year 2015
Indexed 2015-11-16
Review Published2015-11-18
MR3251504
Reviewed
Wang, Xin; Li, Yuqi; Huang, Fei; Chen, Yong Rogue wave solutions of AB system.
Commun. Nonlinear Sci. Numer. Simul. 20 (2015), no. 2, 434–442. 37K35
Publication Year 2015
Indexed 2014-10-23
Review Published2015-01-20
MR3363225
Reviewed
Li, Hong-Min; Li, Yu-Qi; Chen, Yong An integrable discrete generalized nonlinear Schrödinger equation and its reductions.
Commun. Theor. Phys. (Beijing) 62 (2014), no. 5, 641–648. 35Q55 (37J99)
Publication Year 2014
Indexed 2015-09-01
Review Published2015-09-14
MR3268930
Reviewed
Li, Hongmin; Li, Yuqi; Chen, Yong Bi-Hamiltonian structure of multi-component Novikov equation.
J. Nonlinear Math. Phys. 21 (2014), no. 4, 509–520. (Reviewer: Baoqiang Xia) 37K10 (35Q51)
Publication Year 2014
Indexed 2014-12-01
Review Published2015-06-26
MR3253494
Reviewed
Wang, Xin; Li, Yuqi; Chen, Yong Generalized Darboux transformation and localized waves in coupled Hirota equations.
Wave Motion 51 (2014), no. 7, 1149–1160. 35Q55 (35A30)
Publication Year 2014
Indexed 2014-10-31
Review Published2014-12-17
MR2953150
Reviewed
Li, Hong-Min; Li, Biao; Li, Yu-Qi Recursion operators and conservation laws for discrete Lax equations.
J. Math. Phys. 53 (2012), no. 4, 043506, 11 pp. (Reviewer: Paola Morando) 37K60 (37K05 39A12 39A70)
Publication Year 2012
Indexed 2012-10-11
Review Published2012-12-07
MR2908507
Reviewed
Li, Nian-Hua; Li, Yu-Qi Constraints and soliton solutions for KdV hierarchy and AKNS hierarchy.
Commun. Theor. Phys. (Beijing) 56 (2011), no. 4, 605–610. 35Q53 (35C08)
Publication Year 2011
Indexed 2012-06-06
Review Published2012-08-07
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