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杨金杰,1995年生,男,汉族,安徽阜阳人,中共党员,博士毕业于中国矿业大学数学学院应用数学专业。主要从事可积系统及其应用、反散射变换、Riemann-Hilbert 问题以及微分方程初边值问题适定性、稳定性等领域的相关研究。
一、工作经历
2023.12-至今,中国矿业大学,数学学院,讲师
二、近期代表性论文
在 Advances in Mathematics、Annales Henri Poincaré、 Journal of Differential Equations、Studies in Applied Mathematics、Physica D: Nonlinear Phenomena、《中国科学:数学》等国内外知名学术期刊上发表学术性论文10余篇。近期代表性论文如下:
【1】Zhi-Qiang Li, Shou-Fu Tian, J.J. Yang, On the soliton resolution and the asymptotic stability of N-soliton solution for the Wadati-Konno-Ichikawa equation with finite density initial data in space-time solitonic regions. Advances in Mathematics, 409 (2022) 108639.
【2】Zhi-Qiang Li, Shou-Fu Tian, J.J. Yang, Soliton resolution for the Wadati–Konno–Ichikawa equation with weighted Sobolev initial data. Annales Henri Poincare, 23 (2022) 2611–2655.
【3】Zhi-Qiang Li, Shou-Fu Tian, J.J. Yang, On the asymptotic stability of N-soliton solution for the short pulse equation with weighted Sobolev initial data. Journal of Differential Equations, 377 (2023) 121–187.
【4】J.J. Yang, S.F. Tian, Z.Q. Li, Inverse scattering problem for the matrix modified Korteweg-de Vries equation with finite density type initial data. Physica D: Nonlinear Phenomena, 455 (2023) 133911.
【5】J.J. Yang, S.F. Tian, Z.Q. Li, Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions. Physica D: Nonlinear Phenomena, 432 (2022) 133162.
【6】J.J. Yang, S.F. Tian, Z.Q. Li, Soliton resolution of the coupled Kundu-nonlinear Schrödinger equations with the initial data in weighted Sobolev space (in Chinese). Science China Mathematics, 53(9) (2023) 1195–1212.
【7】Y. Li, S.F. Tian, J.J. Yang, Riemann–Hilbert problem and interactions of solitons in the n-component nonlinear Schrödinger equations. Studies in Applied Mathematics, 148(2) (2022) 577–605.
【8】J.J. Yang, S.F. Tian, Z.Q. Li, Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with N distinct arbitrary-order poles. Journal of Mathematical Analysis and Applications, 511 (2022) 126103.
【9】J.J. Yang, S.F. Tian, W.Q. Peng, T.T. Zhang, The N-coupled higher-order nonlinear Schrödinger equation: Riemann-Hilbert problem and multi-soliton solutions. Mathematical Methods in the Applied Sciences, 43(5) (2020) 2458–2472.
【10】J.J. Yang, S.F. Tian, Riemann-Hilbert problem for the modified Landau-Lifshitz equation with nonzero boundary conditions. Theoretical and Mathematical Physics, 205(3) (2020) 1611–1637.
三、科研项目情况
【1】国家自然科学基金青年项目, 2025.01-2027.12,(No. 12401321) 主持
【2】江苏省自然科学基金青年项目, 2024.09-2027.08,(No. BK20241633) 主持
【3】 中国矿业大学第十六批青年教师“启航计划”, 主持
【4】中国矿业大学中央高校基本科研项目, 2022.11-2023.11, (No. 2022XSCX09) 主持
【5】江苏省研究生科研与实践创新计划项目, 2021.04-2022.04, (No. KYCX21_ 2135) 主持
【6】江苏省研究生科研与实践创新计划项目, 2020.04-2021.04, (No. KYCX20_ 2038) 主持
四、联系方式
Email: jinjieyang@cumt.edu.cn
通讯地址:江苏省徐州市中国矿业大学(南湖校区)数学学院
邮政编码:221116