基本信息:
姓名:李彪
专业:应用数学
职称:教授
E-mail:libiao@navbocai.com
研究方向:
1. 非线性数学物理 Nonlinear Mathematical Physics
2. 李群及其在微分方程中的应用 Applications of Lie Group to differential
equations
教育背景:
2000.09-2003.03 大连理工大学应用数学系 硕、博士生
1990.09-1994.06 吉首大学数学系 本科生
工作经历:
2005.4-至今 宁波大学数学系 副教授、教授
2005.4-2007.3 上海交通大学物理系 博士后
2002.07-2005.4 大连理工大学应用数学系 讲师
访学经历:
2019.01-2019.02 香港教育大学数学系
2011.02-2011.08 加拿大大不列颠哥伦比亚大学数学系
代表性论文与出版物:
2002年以来,发表SCI论文100余篇,SCI他引2000多次,部分论文如下:
(1) Liu Yun-kai,Li Biao ,Rogue Waves in the (2+1)-Dimensional Nonlinear Schrödinger Equation with a Parity-Time-Symmetric Potential,Chinese Physics Letters,2017,34(1):010202.
(2) Cheng Wenguang,Li Biao,CRE Solvability, Exact soliton-Cnoidal Wave Interaction Solutions, and Nonlocal Symmetry for the Modified Boussinesq Equation,Advances in Mathematical Physics,2016,4874392.
(3) Wen-Guang Cheng,Biao Li,Yong Chen,Construction Soliton-Cnoidal Wave Interaction Solution for the (2+1)- Dimensional Breaking Soliton Equation,Communications in Theory Physics,2015,63:549-553.
(4) Wen-Guang Cheng,Biao Li,Yong Chen,Nonlocal symmetry and exact solutions of the (2+1)-dimensional breaking soliton equation,Communications in Nonlinear Science and Numerical Simulation,2015,29:198-207.
(5) Junchao Chen,Biao Li, Three-Dimensional Bright–Dark Soliton,Bright Soliton Pairs, and Rogue Wave of Coupled Nonlinear Schrodinger Equation with Time–Space Modulation,Zeitschrift für Naturforschung A,2012,67(9):483-490.
(6) Xiao-Bei Liu, Xiao-Fei Zhang,Biao Li,Exact self-similar wave solutions for the generalized (3+1)-dimensional cubic-quintic nonlinear Schroinger equation with distributed coefficients,Optics Communications,2012,285(5):779-783.
(7) Hong-Min Li,Biao Li ,Yu-Qi Li,Recursion operators and conservation laws for discrete Lax equations,Journal of Mathematical Physics,2012,53(4):043506.
(8) Biao Li ,Xiao-Fei Zhang,Yu-Qi Li,WM Liu,Propagation and interaction of matter-wave solitons in Bose–Einstein condensates with time-dependent scattering length and varying potentials,JOURNAL OF PHYSICS B,2011,44(17):175301.
(9) Li Biao ,Li Yu-Qi,Chen Yong,Finite Symmetry Transformation Groups and Some Exact Solutions to (2+1)-Dimensional Cubic Nonlinear Schrodinger Equantion,Communications in Theoretical Physics,2009,51(5):773-776.
(10) Li Biao,Zhang Xiao-Fei,Li Yu-Qi,Chen,Yong,Liu W.M.,Solitons in Bose-Einstein condensates with time-dependent atomic scattering length in an expulsive parabolic and complex potential,Physical Review A,2008,78(2):023608.
(11) Li, Biao ,Chen, Yong,Li, Yu-Qi,A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the inhomogeneous Higher-Order Nonlinear Schrodinger Equation,Zeitschrift fur Naturforschung A,2008,63(12): 763-777.
(12) Li Biao ,Ye Wang-Chuan,Chen, Yong,Symmetry, full symmetry groups, and some exact solutions to a generalized Davey-Stewartson system,Journal of Mathematical Physics,2008,49(10):103503.
(13) Li, Biao ,A generalized sub-equation expansion method and its application to the nonlinear Schrodinger equation in inhomogeneous optical fiber media,International Journal of Modern Physics C,2007,18(7):1187-1201.
科研项目:
主持完成国家自然科学基金3项、浙江省自然科学基金2项、中国博士后基金1项和市厅级项目多项; 参与完成国家自然科学基金重点项目1项。现主持国家自然科学基金面上项目1项,参与国家自然科学基金重点项目1项。
获奖情况:
1. 曾获上海交通大学优秀博士后二等奖
2. 辽宁省自然科学学术成果奖(学术论文类)二等奖
3. 浙江省教育厅高校科研成果三等奖(2/2),
4. 上海市自然科学三等奖(3/3)。
教学状况:
1. 主讲本科《高等数学》、《线性代数》、《常微分方程》、《数学物理方程》等课程。
2. 主讲研究生《计算机代数及应用》、《数值分析》、《数学物理方程》、《孤子与可积系统》等课程。