凌黎明
个人基本情况简介
凌黎明,男,湖南衡阳人,汉族,1985年10月生;国家优青
2010.09-2013.06:北京应用物理与计算数学研究所, 博士
2013.07-2018.03 华南理工大学 数学学院, 讲师/副教授
2018.04-至今 华南理工大学 数学学院, 教授
2014.07-2014.08 访问复旦大学上海数学中心,访问学者
2017.08-2018.08 访问 密歇根大学 数学系, 访问学者
主讲课程
本科生课程:《线性代数》,《概率统计》,《积分变换》,《数学分析》 课程网址
研究生课程:《泛函分析》,《黎曼曲面》,《黎曼-希尔伯特方法》,《可积系统导论》,《非线性波理论》
研究兴趣
1 黎曼希尔伯特方法研究可积方程的极限动力学行为;
2 椭圆函数背景上局域波解的构造及其分析;
3 量子/流体物理,非线性光学中的非线性激发模式及其成因;
4 深度学习方法求解非线性偏微分方程,计算机视觉方法研究非线性波的模式。
5 解的稳定性分析:谱稳定性和轨道稳定性。
研究方法
可积系统研究方法;偏微分方程解析解,数值解及其分析;统计学习等
招生专业与类型
学术硕士:应用数学方向,1-2人;
学术博士:非线性可积偏微分方程理论以及应用,1人。
数学物理
代表性论文
1 Deniz Bilman, Liming Ling and Peter D. Miller, Extreme Superposition: Rogue Waves of Infinite Order and the Painlevé-III Hierarchy, Duke Mathematical Journal, 169, 671-760, 2020
2 Bao-Feng Feng, Liming Ling and Daisuke A. Takahashi, Multi-breathers and high order rogue waves for the nonlinear Schrödinger equation on the elliptic function background, Stud. Appl. Math., 144, 46-101, 2020
3 Yan-Hong Qin, Li-Chen Zhao* and Liming Ling*, Nondegenerate bound-state solitons in multicomponent Bose-Einstein condensates, Phys. Rev. E, 100, 022212 (2019) PhysRevE-2019.pdf
4 Liming Ling*, Li-Chen Zhao*, Zhan-Ying Yang, and Boling Guo. Generation mechanisms of fundamental rogue wave spatial-temporal structure. Phys. Rev. E 96, 022211 (2017)PRE8.pdf
5 Bao-Feng Feng, Liming Ling* and Zuonong Zhu, Defocusing complex short-pulse equation and its multi-dark-soliton solution, Phys. Rev. E, 93, 052227 (2016) PRE-7.pdf
6 Liming Ling, Bao-Feng Feng* and Zuonong Zhu, Multi-soliton, multi-breather and higher order rogue wave solutions to the complex short pulse equation, Physica D, 327 (2016) 13-29Phys-D.pdf
7 Li-Chen Zhao, Boling Guo, and Liming Ling*, High-order rogue wave solutions for the coupled nonlinear Schrödinger equations-II, J. Math. Phys. 57, 043508 (2016) JMP-3.pdf
8 Li-Chen Zhao, Sheng-Chang Li, and Liming Ling*, W-shaped solitons generated from a weak modulation in the Sasa-Satsuma equation, Phys. Rev. E, 93, 032215 (2016) PRE6.pdf
9 Liming Ling, Li-Chen Zhao and Boling Guo, Darboux transformation and multi-dark soliton for N-component nonlinear Schrödinger equations, Nonlinearity, 28 3243-3261 (2015) Nonlinearity.pdf 入选ESI高被引论文,获得由伦敦数学会和英国物理学会联合颁发的 2018年度 中国高被引作者奖
10 Liming Ling and Li-Chen Zhao*, Integrable pair-transition-coupled nonlinear Schrödinger equations, Phys. Rev. E, 92, 022924 (2015) PRE5.pdf
11 Dongfen Bian, Boling Guo, and Liming Ling*,High-Order Soliton Solution of Landau-Lifshitz Equation, Stud. Appl. Math. 134:181–214 (2015) SAPM-2.pdf
12 Li-Chen Zhao, Sheng-Chang Li*, and Liming Ling*, Rational W-shaped solitons on a continuous-wave background in the Sasa-Satsuma equation, Phys. Rev. E, 89, 023210 (2014)PRE-4.pdf
13 Liming Ling, Boling Guo, and Li-Chen Zhao*, High-order rogue waves in vector nonlinear Schrödinger equations, Phys. Rev. E, 89, 041201(R) (2014) PRE-3.pdf
14 Liming Ling and Li-Chen Zhao*, Simple determinant representation for rogue waves of the nonlinear Schrödinger equation, Phys. Rev. E, 88, 043201 (2013) PRE-2.pdf
15 Boling Guo, Liming Ling Q. P. Liu*, High order Solutions and Generalized Darboux transformation of Derivative Schrödinger Equations, Stud. Appl. Math. 130, 317-344, (2013)
入选ESI高被引论文 Stud-in-Applied-Math.pdf
16 Boling Guo, Liming Ling, Q. P. Liu*, Nonlinear Schrödinger Equation: Generalized Darboux Transformation and Rogue Wave Solutions, Phys. Rev. E 85, 026607. (2012)
入选ESI高被引论文FRE-1.pdf
17 Boling Guo, Liming Ling*, Riemann-Hilbert Approach and N-soliton Formula for Coupled Derivative Schrödinger Equation, J. Math. Phys. 53, 073506 (2012) JMP-2.pdf
18 Liming Ling and Q. P. Liu*, A long waves-short waves model: Darboux transformation and soliton solutions. J. Math. Phys. 52, 053513. (2011) JMP-1.pdf
19 Boling Guo, Liming Ling*, Rouge Wave,Breathers and Bright-Dark-Rogue Solutions for the Coupled Schrödinger Equations, Chin. Phys. Lett., 28, 110202 (2011) CPL.pdf
获得2016年度中国物理协会颁发的最有影响力论文一等奖
20 Liming Ling and Q. P. Liu*, Darboux Transformation for Two-component Derivative Nonlinear Schrödinger Equation. J. Phys. A: Math. Theor. 43, 434023 (2010) JPA:M T.pdf
学术专著
怪波及其数学理论,郭柏灵,田立新,闫振亚,凌黎明 著 2015, 浙江科学技术出版社
主持的项目
1 国家自然科学基金青年项目: 非线性薛定谔类型方程的可积系统研究方法(项目号11401221) 22万元 (2015.01-2017.12)已结题
2 国家自然科学基金面上项目: 物理中某些耦合可积方程的研究(项目号11771151) 48万元(2018.01-2021.12)已结题
3 广东省自然科学基金自由申请项目:多分量可积系统的Darboux变换理论及其应用(项目号2017A030313008) 10万元(2017.06-2020.06) 已结题
期刊编辑
1 Physica D, 编辑, 2024-至今
2 Scientific Reports, 编辑,2022-至今
linglm@scut.edu.cn
四号楼