章国庆照片

章国庆教授硕士生导师；博士生导师

研究方向：非线性分析、非线性偏微分方程、孤子理论

邮箱：zgqw2001@usst.edu.cn　更新时间：2026-06-01

Zhang GuoqingProfessorMaster's Supervisor; Doctoral Supervisor

Research: Nonlinear analysis, nonlinear partial differential equations, and soliton theory

Email: zgqw2001@usst.edu.cn | Last updated: 2026-06-01

个人/课题组主页
Personal/Lab Website

教育背景与工作经历

教育背景

  • 2002 年 3 月 - 2005 年 12 月 西安电子科技大学应用数学系攻读博士学位，导师：刘三阳教授

  • 1997 年 9 月 - 2000 年 7 月 华东师范大学数学系攻读硕士学位，导师：沈纯理教授

工作经历

  • 2013 年 1 月 - 2014 年 1 月 美国内华达大学拉斯维加斯分校数学科学系访问学者，导师：丁中海教授

  • 2009 年 9 月 - 2010 年 7 月 复旦大学数学系访问学者，导师：洪家兴院士

  • 2006 年 6 月 - 2009 年 2 月 同济大学数学系博士后流动站博士后，导师：邵嘉裕教授

  • 2000 年 7 月 - 至今 上海理工大学理学院工作

科研项目

  • 1. 主持国家自然科学基金面上项目（向列相液晶中空间光孤立波的存在性和稳定性，NO.11771291，2018.1-2021.12，在研）。

  • 2. 主持上海市自然科学基金项目（临界点理论及其在向列相液晶中空间光孤立波的应用，No.15ZR1429500，2015.1-2017.12，已结题）。

  • 3. 主持上海市自然科学基金项目（半线性薛定谔方程和狄拉克方程的变分方法与定性研究，No.11ZR1424500，2011.4-2014.3，已结题）。

  • 4. 主持中国博士后科学基金项目（非线性变分问题的理论与数值方法研究，No.20070410738，2007.6-2009.2，已结题）。

  • 5. 主持上海市教委科研创新项目（变分不等式的理论与算法研究，No.08YZ93，2007.9-2009.12，已结题）。

  • 6. 主持上海市高校优秀青年教师基金项目（临界点理论在非线性微分差分方程中的应用，No.04YQHB149，2005.1-2006.12，已结题）。

代表性论著

  • 1. Feng QingJiang, Zhang GuoQing. Elastic and inelastic collisions in the (2+1)-dimensional modified dispersive water wave equation. European Physical Journal Plus, 2025, 5(140): 1-11.

  • 2. Li XiaoGuang, Zhang GuoQing. Ground states for NLS equations with point interactions on noncompact metric graphs. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 129733(552): 1-24.

  • 3. Feng QingJiang, Zhang GuoQing. Several interaction solutions for a (3+1) dimensional Boiti-Leon-Manna-Pempinelli type equations. PHYSICA SCRIPTA, 2025, 4(100): 1-11.

  • 4. Shen ZhuoLing, Zhang GuoQing. Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations. Complex Variables and Elliptic Equations, 2025, 2025(2025): 1-26.

  • 5. Feng QingJiang, Zhang GuoQing. Some interaction solutions on the periodic background in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. European Physical Journal Plus, 2025, (140): 1-15.

  • 6. Feng QingJiang, Zhang GuoQing. Abundant exact solutions of a (3+1)-dimensional burgers like equation on the periodic background. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56(1315): 1-21.

  • 7. Feng QingJiang, Zhang GuoQing. D'Alembert wave and interaction solutions for a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. European Physical Journal Plus, 2024, 139(8): 1-19.

  • 8. Feng QingJiang, Zhang GuoQing. Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system. NONLINEAR DYNAMICS, 2024, 112(6): 1-18.

  • 9. Feng QingJiang, Zhang GuoQing. Mixed solutions and multiple solitary wave solutions for a (3 + 1)-dimensional nonlinear system. NONLINEAR DYNAMICS, 2024, 10.1007/s11071-024-10120-0(1): 1-12.

  • 10. Zhang GuoQing, Huang ShuaiFei. Ground states for a nonlocal isoperimetric problem with two interacting phases. APPLICABLE ANALYSIS, 2023, 10.1080/00036811.2023.2253825(10.1080/00036811.2023.2253825): 1-16.

  • 11. Li XiaoGuang, Zhang GuoQing, Liu LeLe. Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 530(1): 1-26.

  • 12. Zhang GuoQing, Li YaWen. Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 73(142): 1-27.

  • 13. Man ShouDong, Zhang GuoQing. SOME GLOBAL EXISTENCE RESULTS ON LOCALLY FINITE GRAPHS. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2023, 10.1017/S1446788723000149(1): 1-17.

  • 14. Zhang GuoQing, Duan YingXin. Some results for a system of NLS arising in optical materials with x(3) nonlinear response. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, doi.org/10.1002/mma.9543(doi.org/10.1002/mma.9543): 1-24.

  • 15. Tong YuanWei, Liu DeQiang, Zhang GuoQing, Yan FeiNan, Ding YaQiong, Shi ChengLong. Practice and exploration of curriculum-based ideological and political education for liberal arts college students. 2023, 45(3): 313-317.

  • 16. Huang ShuaiFei. Existence of Ground States Solutions for a Nonlocal Isoperimetric Problem with Two Phases. Advances in Applied Mathematics, 2022, 11(5): 1-8.

  • 17. Zhang Meng. Ground State of Rotating Bose Einstein Condensates under Attractive Forc. Theoretical Mathematics, 2022, 12(4): 610-615.

  • 18. Zhang GuoQing. Existence and stability of vector solitary waves for nonlinear Schrodinger systems of Hartree-type with Bessel potential. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 505(1): 1-21.

  • 19. Zhang GuoQing. Normalized traveling solitary waves for a class of nonlinear half-wave equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 209(1): 1-15.

  • 20. Li YanRu. On a class of (p(u),q(u))-Laplacian problems. Theoretical Mathematics, 2021, 11(4): 586-598.

  • 21. Yao AnNi. Multiplicity of solutions to the fractional-order Schrödinger equation with a magnetic field with critical growth. Theoretical Mathematics, 2021, 11(4): 527-538.

荣誉、学术兼职与社会服务

荣誉与社会服务

  • 1. 2018 年 5 月获上海市教学成果一等奖（序 3）。

  • 2. 2014 年 9 月获上海市教学成果一等奖（序 5）。

  • 3. 2009 年 2 月获上海市高校优秀青年教师荣誉称号。

学术兼职

  • 1. 2011 年 8 月起担任美国数学会 “Mathematical Reviews” 评论员。

  • 2. 2019 年 12 月起担任上海市工业与应用数学学会理事。

Education & Work Experience

Education

  • Mar. 2002 - Dec. 2005, Ph.D. study in Applied Mathematics, Xidian University; Supervisor: Prof. Liu Sanyang.

  • Sep. 1997 - Jul. 2000, M.S. study in Mathematics, East China Normal University; Supervisor: Prof. Shen Chunli.

Work Experience

  • Jan. 2013 - Jan. 2014, Visiting Scholar, Department of Mathematical Sciences, University of Nevada, Las Vegas, USA; mentor: Prof. Ding Zhonghai.

  • Sep. 2009 - Jul. 2010, Visiting Scholar, Department of Mathematics, Fudan University; mentor: Academician Hong Jiaxing.

  • Jun. 2006 - Feb. 2009, Postdoctoral Researcher, Department of Mathematics, Tongji University; mentor: Prof. Shao Jiayu.

  • Jul. 2000 - present, School of Science, University of Shanghai for Science and Technology.

Research Projects

  • 1. Principal investigator of a General Program project of the National Natural Science Foundation of China on spatial optical solitons in nematic liquid crystals (No. 11771291, Jan. 2018-Dec. 2021, ongoing).

  • 2. Principal investigator of a Shanghai Natural Science Foundation project on critical point theory and its application to spatial optical solitons in nematic liquid crystals (No. 15ZR1429500, Jan. 2015-Dec. 2017, completed).

  • 3. Principal investigator of a Shanghai Natural Science Foundation project on variational methods and qualitative analysis for semilinear Schrödinger and Dirac equations (No. 11ZR1424500, Apr. 2011-Mar. 2014, completed).

  • 4. Principal investigator of a China Postdoctoral Science Foundation project on nonlinear variational problems and numerical methods (No. 20070410738, Jun. 2007-Feb. 2009, completed).

  • 5. Principal investigator of a Shanghai Municipal Education Commission innovation project on variational inequalities and algorithms (No. 08YZ93, Sep. 2007-Dec. 2009, completed).

  • 6. Principal investigator of a Shanghai Outstanding Young Teacher Fund project on critical point theory in nonlinear differential-difference equations (No. 04YQHB149, Jan. 2005-Dec. 2006, completed).

Selected Publications

  • 1. Feng QingJiang, Zhang GuoQing. Elastic and inelastic collisions in the (2+1)-dimensional modified dispersive water wave equation. European Physical Journal Plus, 2025, 5(140): 1-11.

  • 2. Li XiaoGuang, Zhang GuoQing. Ground states for NLS equations with point interactions on noncompact metric graphs. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 129733(552): 1-24.

  • 3. Feng QingJiang, Zhang GuoQing. Several interaction solutions for a (3+1) dimensional Boiti-Leon-Manna-Pempinelli type equations. PHYSICA SCRIPTA, 2025, 4(100): 1-11.

  • 4. Shen ZhuoLing, Zhang GuoQing. Some existence results of solitary waves for coupled Klein–Gordon and Born–Infeld equations. Complex Variables and Elliptic Equations, 2025, 2025(2025): 1-26.

  • 5. Feng QingJiang, Zhang GuoQing. Some interaction solutions on the periodic background in the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. European Physical Journal Plus, 2025, (140): 1-15.

  • 6. Feng QingJiang, Zhang GuoQing. Abundant exact solutions of a (3+1)-dimensional burgers like equation on the periodic background. OPTICAL AND QUANTUM ELECTRONICS, 2024, 56(1315): 1-21.

  • 7. Feng QingJiang, Zhang GuoQing. D'Alembert wave and interaction solutions for a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. European Physical Journal Plus, 2024, 139(8): 1-19.

  • 8. Feng QingJiang, Zhang GuoQing. Lump solution, lump-stripe solution, rogue wave solution and periodic solution of the (2 + 1)-dimensional Fokas system. NONLINEAR DYNAMICS, 2024, 112(6): 1-18.

  • 9. Feng QingJiang, Zhang GuoQing. Mixed solutions and multiple solitary wave solutions for a (3 + 1)-dimensional nonlinear system. NONLINEAR DYNAMICS, 2024, 10.1007/s11071-024-10120-0(1): 1-12.

  • 10. Zhang GuoQing, Huang ShuaiFei. Ground states for a nonlocal isoperimetric problem with two interacting phases. APPLICABLE ANALYSIS, 2023, 10.1080/00036811.2023.2253825(10.1080/00036811.2023.2253825): 1-16.

  • 11. Li XiaoGuang, Zhang GuoQing, Liu LeLe. Ground states for the NLS equation with combined local nonlinearities on noncompact metric graphs. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 530(1): 1-26.

  • 12. Zhang GuoQing, Li YaWen. Normalized ground state traveling solitary waves for the half-wave equations with combined nonlinearities. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2023, 73(142): 1-27.

  • 13. Man ShouDong, Zhang GuoQing. SOME GLOBAL EXISTENCE RESULTS ON LOCALLY FINITE GRAPHS. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2023, 10.1017/S1446788723000149(1): 1-17.

  • 14. Zhang GuoQing, Duan YingXin. Some results for a system of NLS arising in optical materials with x(3) nonlinear response. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, doi.org/10.1002/mma.9543(doi.org/10.1002/mma.9543): 1-24.

  • 15. Tong YuanWei, Liu DeQiang, Zhang GuoQing, Yan FeiNan, Ding YaQiong, Shi ChengLong. Practice and exploration of curriculum-based ideological and political education for liberal arts college students. 2023, 45(3): 313-317.

  • 16. Huang ShuaiFei. Existence of Ground States Solutions for a Nonlocal Isoperimetric Problem with Two Phases. Advances in Applied Mathematics, 2022, 11(5): 1-8.

  • 17. Zhang Meng. Ground State of Rotating Bose Einstein Condensates under Attractive Forc. Theoretical Mathematics, 2022, 12(4): 610-615.

  • 18. Zhang GuoQing. Existence and stability of vector solitary waves for nonlinear Schrodinger systems of Hartree-type with Bessel potential. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 505(1): 1-21.

  • 19. Zhang GuoQing. Normalized traveling solitary waves for a class of nonlinear half-wave equations. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2021, 209(1): 1-15.

  • 20. Li YanRu. On a class of (p(u),q(u))-Laplacian problems. Theoretical Mathematics, 2021, 11(4): 586-598.

  • 21. Yao AnNi. Multiplicity of solutions to the fractional-order Schrödinger equation with a magnetic field with critical growth. Theoretical Mathematics, 2021, 11(4): 527-538.

Honors, Academic Service and Social Service

Honors and Service

  • 1. Won the First Prize of Shanghai Teaching Achievement Award in May 2018 (ranked No. 3).

  • 2. Won the First Prize of Shanghai Teaching Achievement Award in Sep. 2014 (ranked No. 5).

  • 3. Received the title of Outstanding Young Teacher of Shanghai Universities in Feb. 2009.

Academic Service

  • 1. Since Aug. 2011, reviewer for Mathematical Reviews of the American Mathematical Society.

  • 2. Since Dec. 2019, Council Member of the Shanghai Society for Industrial and Applied Mathematics.

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