研究领域

非线性偏微分方程、符号计算、非线性光学

科研项目

[1] 非局域非线性薛定谔模型的精确孤子解及其在PT对称光学中的应用（1170 5284），国家自然科学基金青年科学基金项目，2018/01-2020/12，负责人


[2] 随机混合动力系统的渐近性质及其应用，国家自然科学基金面上项目（11371371），2014/01-2017/12，参与人。


[3] 核磁共振测井、油气藏数值模拟及动力系统中若干前沿数学问题的理论和应用研究，中国石油大学（北京）理学院优秀青年教师研究项目（ZX20150109），2015/01-2017/12，负责人。


[4] 非均匀等离子体中阿尔文孤波及其应用研究，国家自然科学基金理论物理专款资助项目（11247267），2013/01-2013/12，负责人。


[5] 孤子解的多耦合Wronski行列式结构和代数性质，中国石油大学（北京）青 年拔尖人才科研启动基金项目（BJ-2011-04），2011/09-2014/08，负责人。

Publications

[1] Min Li, Xuefeng Zhang, Tao Xu* and Lingling Li, Asymptotic analysis and soliton interactions of the multi-pole solutions in the Hirota equation, Journal of the Physical Society of Japan 89, 054004, 2020. (SCI收录)


[2] Bowen Li, Tao Xu, Jianjun Liu and Min Li, Approximate analytical description for the nonlinear PT-symmetric coupled-mode equations, European Journal of Physics 41, 025305, 2020. (SCI收录)


[3] Min Li, Xiaolu Yue and Tao Xu, Multi-pole solutions and their asymptotic analysis of the focusing Ablowitz-Ladik equation, Physica Scripta, 95(5), 055222, 2020. (SCI收录)


[4] Tao Xu, Yang Chen, Min Li and De-Xin Meng, General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system, Chaos 29, 123124, 2019. (SCI收录)


[5] Tao Xu and Dmitry E. Pelinovsky, Darboux transformation and soliton solutions of the semi-discrete massive Thirring model, Physics Letters A 383(32), 125948, 2019. (SCI收录)


[6] Tao Xu, Sha Lan, Min Li, Ling-Ling Li, Guo-Wei Zhang, Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation, Physica D, 390, 47-61, 2019. (SCI收录)


[7] Min Li*, Juan-Juan Shui, Tao Xu. Generation mechanism of rogue waves for the discrete nonlinear Schrödinger equation, Applied Mathematics Letters 83, 110-115, 2018. (SCI收录，1区，ESI高被引论文和热点论文)


[8] Tao Xu, Min Li, Yehui Huang, Yang Chen, Chen Yu, Nonsingular localized wave solutions for the nonlocal Davey-Stewartson I equation with zero background, Modern Physics Letters B 31(35), 1750338:1-11, 2017. (SCI收录)


[9] Tao Xu, Changjing Liu, Fenghua Qi, Chunxia Li, Dexin Meng, New double Wronskian solutions of the Whitham-Broer-Kaup system: Asymptotic analysis and resonant soliton interactions, Journal of Nonlinear Mathematical Physics 24(1), 116-141, 2017. (SCI收录)