一、基本情况
王晓丽,女,1980年出生,博士,教授,硕士生导师,毕业于首都师范大学数学科学学院数学物理专业,2015年到美国杜克大学数学系访问学习半年。近几年主要从事无穷维代数与可积系统、非线性偏微分方程孤立波解的构造等方面的工作。主持国家自然科学基金青年基金1项,参与国家自然科学基金2项,山东省自然科学基金面上项目1项,获得山东省高等学校科学技术二等奖2项。近五年在JDE、Nonl.Analysis等国际学术期刊上发表SCI论文10余篇,其中3篇论文入选ESI高被引论文。
二、科研项目
1、国家自然科学基金(天元基金),11226154,一类混沌系统基于哈密顿系统框架的控制与同步,2013/01-2013/12,3万元,已结题,参与(4/6)。
2、国家自然科学基金(青年基金),11701308,多边形网格上渗流模型的非线性保正格式研究,2018/01-2020/12,21万元,已结题,参与(3/5)。
3、山东省自然科学基金(面上基金),ZR2018MF016,基于哈密顿奇异切换系统理论的HEV优化控制研究,2018/03-2021/06,14万元,已结题,参与(4/7)。
4、国家自然科学基金(青年基金),11801292,基于Lax 3-对的广义KP约束系统的研究,2019/01-2021/12,22万元,已结题,主持(1/7)。
三、代表性论著
[1] Xiao-Li Wang*, Zhen-Hua Wu, New Exact Solutions and Dynamics in (3+1)-Dimensional Gross-Pitaevskii Equation with Repulsive Harmonic Potential, Commun. Theor. Phys., 2014, 61: 583-589.
[2] Xiao-Li Wang*, Jie Yang, Exact spatiotemporal soliton solutions to the generalized three-dimensional nonlinear Schrodinger equation in optical fiber communication, Advances in Difference Equations,2015, 2015:347.
[3] Xiao-Li Wang, Lu Yu, Yan-Xin Yang, Min-Ru Chen*, On generalized Lax equation of the Lax triple of KP Hierarchy, Journal of Nonlinear Mathematical Physics, 2015, 22: 194-203.
[4] Xiao-Li Wang, Jian-Qin Mei, Min-Li Li, Zhao-Wen Yan*, On generalized Lax equations of the Lax triple of the BKP and CKP hierarchies, Journal of Nonlinear Mathematical Physics, 2017, 24: 171-182.
[5] Xiao-Li Wang*, Min-Ru Chen, Jian-Qin Mei, Zhao-Wen Yan, W1+∞ 3-algebra and the higher-order nonlinear Schrodinger equations in optical fiber, Commun Nonlinear Sci Numer Simulat, 65(2018) 161-172.
[6] Deng-Shan Wang*, Xiao-Li Wang, Long-time asymptotics and the bright N-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach, Nonlinear Analysis: Real World Applications 41 (2018) 334–361.
[7] Min-Ru Chen, Ying Chen, Zhao-Wen Yan, Jian-Qin Mei, Xiao-Li Wang*, A 3-Lie algebra and the dKP Hierarchy, Journal of Nonlinear Mathematical Physics, Vol. 26, No. 1 (2019) 91-97.
[8] Deng-Shan Wang*, Bo-Ling Guo, Xiao-Li Wang, Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions, J. Differential Equations, 266 (2019) 5209-5253.
[9] Yi Yang, Xiao-Li Wang and Ji-Peng Cheng*, Some results of the BKP hierarchy as the Kupershmidt reduction of the modified KP hierarchy,Modern Physics Letters B, 34, 1 (2020), 2050433.
[10] Xiaoli Wang*, Jian-Qin Mei,On the Generalized KdV Hierarchy and Boussinesq Hierarchy with Lax Triple, Journal of Nonlinear Mathematical Physics, Vol.28(3), (2021) 337-343.
E-mail:wxlspu@qlu.edu.cn