Guoliang He

Professor, Master Supervisor

ADDRESS：Dongfeng Road 5#, Zhengzhou, Henan

PHONE：0371-86601852

E-mail：glhemath@zzuli.edu.cn

Research Field and Interests： 

Partial differential equations and its application, Soliton and integral system

Education Background:

200109--200506, Zhengzhou University, Department of Mathematics, Bachelor

200509--200806, Zhengzhou University, Department of Mathematics, Master

200809--201206, Zhengzhou University, Department of Mathematics, Doctor

Teaching Courses：

Advanced Mathematics, Linear Algebra, Introduction to Solitons, Darboux Transformation, Bilinear Transformation

Representative Publications:

[1] He Guoliang, Zhai Yunyun, Geng Xianguo, A super hierarchy of the vector nonlinear Schrodinger equations and Hamiltonian structures, conservation laws. Journal of Mathematical Physics, 2013, 54 (8): 083509.

[2] He Guoliang, Geng Xianguo, Wu Lihua, Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy. SIAM Journal on Mathematical Analysis，2014，46(2)：1348-4384.

[3] He Guoliang, Geng Xianguo, Wu Lihua, The application of trigonal curve to the Mikhailov– Shabat–Sokolov flows. Zeitschrift für angewandte Mathematik und Physik，2016，67(4)：1-24.

[4] He Guoliang, Geng Xianguo, Wu Lihua, The trigonal curve and the integration of the Hirota-Satsuma hierarchy. Mathematical Methods in the Applied Sciences, 2017，40(18): 6581-6601.

[5] He Guoliang, Zheng Zhenzhen, A novel hierarchy of differential equations, conservation

laws and Drboux transformation. Journal of Zhengzhou University (Natural Science Edition), 51 (4)(2019) 116-122.

[6] He Guoliang, Wang Yanqing, Zhou Daoguo, Lower bounds of blow up solutions in  H^1_p(R^3) of the Navier-Stokes equations and the quasi-geostrophic equation, Communications in Mathematical Sciences, 18 (8)(2020) 2263-2270.

[7] He Guoliang, Zhai Yunyun, Zheng Zhenzhen, Algebro-geometric integration of a modified shallow wave hierarchy. International Journal of Nonlinear Sciences and Numerical Simulation, 2022，23(3-4)：401-417.

Funding:  

[1] 2014/01-2014/12, National Natural Science Foundation of China，11326166, PI.

[2] 2016/01-2018/12, National Natural Science Foundation of China，11501526，PI.

[3] 2021/01-2022/12, Natural Science Foundation of Henan Province, 212300410417, PI.

Honors:Young backbone teachers of higher education institutions in Henan Province

Professional Affiliations:AMS Mathematical Reviews

Academic Activities:

[1] Workshop: UNICAM-ZZULI Building Research Bridges, The algebro-geometric solutions to the hierarchy of a shallow wave, 2021.03.30-04.01 online.

[2] Conference: co-organizer at ZZULI: Seminar on Integrable Systems and Partial Differential Equations in Fluid Mechanics, July 28, 2022.