# zbMATH — the first resource for mathematics

## Hu, Hesheng

Compute Distance To:
 Author ID: hu.hesheng Published as: Hu, Hesheng; Hu, H.; Hu, He-Sheng; Hu, H. S.; Hu, He-sheng; Hu, H.-S. Homepage: http://www.hlhl.org.cn/english/showsub.asp?id=501 External Links: Women in Mathematics · MGP · Wikidata · GND · IdRef
 Documents Indexed: 41 Publications since 1958, including 1 Book 2 Contributions as Editor
all top 5

#### Co-Authors

 21 single-authored 15 Gu, Chaohao 2 Li, Tatsien 2 Pan, Yanglian 2 Shen, Chunli 2 Xin, Yuanlong 2 Yang, Chen Ning (Frank) 1 Bai, Zhengguo 1 Inoguchi, Jun-ichi 1 Wu, Siye 1 Zhang, Sucheng 1 Zhou, Zixiang
all top 5

#### Serials

 7 Letters in Mathematical Physics 5 Chinese Annals of Mathematics. Series B 4 Scientia Sinica 2 Acta Mechanica 2 Journal of Sound and Vibration 2 Acta Mathematica Sinica 2 Frontiers of Mathematics in China 1 Journal of Geometry and Physics 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Chinese Annals of Mathematics 1 Chinese Annals of Mathematics. Series A 1 Scientia Sinica. Series A 1 Acta Mathematica Sinica. New Series 1 Chinese Mathematics 1 Mathematical Physics Studies
all top 5

#### Fields

 20 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 10 Partial differential equations (35-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Mechanics of particles and systems (70-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 123 times in 90 Documents Cited by Year
Darboux transformations in integrable systems. Theory and their applications to geometry. Zbl 1084.37054
Gu, Chaohao; Hu, Hesheng; Zhou, Zixiang
2005
A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations. Zbl 0605.35077
Gu, Chaohao; Hu, Hesheng
1986
Comparison of two Lindstedt-Poincaré-type perturbation methods. Zbl 1236.34050
Hu, H.; Xiong, Z. G.
2004
On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures. Zbl 1084.37059
Gu, C. H.; Hu, H. S.; Inoguchi, Jun-Ichi
2002
The construction of hyperbolic surfaces in 3 dimensional Minkowski space and sinh-Laplace equation. Zbl 0594.53014
Hu, Hesheng
1985
Darboux transformations between $$\Delta \alpha=\text{sinh}\alpha$$ and $$\Delta\alpha=\sin \alpha$$ and the application to pseudo-spherical congruences in $$\mathbb{R}^{2,1}$$. Zbl 0933.35185
Hu, Hesheng
1999
A nonexistence theorem for harmonic maps with slowly divergent energy. Zbl 0549.58013
Hu, Hesheng
1984
Explicit solutions to the intrinsic generalization for the wave and sine- Gordon equations. Zbl 0797.35146
Gu, Chaohao; Hu, Hesheng
1993
Sine-Laplace equation, sinh-Laplace equation and harmonic maps. Zbl 0511.35061
Hu, Hesheng
1982
On the static solutions of massive Yang-Mills equations. Zbl 0531.53061
Hu, Hesheng
1982
Iteration calculations of periodic solutions to nonlinear jerk equations. Zbl 1381.34060
Hu, H.; Zheng, M. Y.; Guo, Y. J.
2010
On the determination of nonlinear partial differential equations admitting integrable systems. Zbl 0605.35012
Gu, Chaohao; Hu, Hesheng
1986
Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. Zbl 0646.58016
Hu, Hesheng
1987
Some nonexistence theorems for massive Yang-Mills fields and harmonic maps. Zbl 0561.58008
Hu, Hesheng
1984
Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. II. Zbl 0663.58008
Hu, Hesheng; Wu, Siye
1987
Simplified continuous finite element method for a class of nonlinear oscillating equations. Zbl 1243.65099
Xiong, Z. G.; Hu, H.
2005
Analysis of linear resisted projectile motion using the Lambert W function. Zbl 1398.70049
Hu, H.; Zhao, Y. P.; Guo, Y. J.; Zheng, M. Y.
2012
Riemannian spaces with local duality and gravitational instantons. Zbl 0382.53041
Gu, Chao-hao; Hu, He-sheng; Li, Da-qian; Shen, Chun-li; Xin, Yuan-long; Yang, Chen-ning
1978
Harmonic maps and pinching theorem for positively curved hypersurfaces. Zbl 0614.58018
Hu, H. S.; Pan, Y. L.; Shen, Y. B.
1987
A theorem of Liouville’s type on harmonic maps with finite or slowly divergent energy. Zbl 0619.58016
Hu, Hesheng; Pan, Yanglian
1986
On the classical lump of Yang-Mills fields. Zbl 0738.53051
Hu, Hesheng
1991
On the spherically symmetric gauge fields. Zbl 0526.53067
Gu, Chaohao; Hu, Hesheng
1980
On the geometry of sinh-Gordon equation. Zbl 0819.35120
Hu, Hesheng
1994
Laplace sequences of surfaces in projective space and two-dimensional Toda equations. Zbl 1029.53018
Hu, Hesheng
2001
Construction of unitons via purely algebraic algorithm. Zbl 0962.53039
Gu, Chaohao; Hu, Hesheng
1999
Explicit construction of harmonic maps from $$R^ 2$$ to $$U(N)$$. Zbl 0830.58008
Gu, Chaohao; Hu, Hesheng
1995
Exact solutions of the spherically symmetric gravitational field equations. Zbl 1222.83041
Hu, He-Sheng
2006
Analysis of linear resisted projectile motion using the Lambert W function. Zbl 1398.70049
Hu, H.; Zhao, Y. P.; Guo, Y. J.; Zheng, M. Y.
2012
Iteration calculations of periodic solutions to nonlinear jerk equations. Zbl 1381.34060
Hu, H.; Zheng, M. Y.; Guo, Y. J.
2010
Exact solutions of the spherically symmetric gravitational field equations. Zbl 1222.83041
Hu, He-Sheng
2006
Darboux transformations in integrable systems. Theory and their applications to geometry. Zbl 1084.37054
Gu, Chaohao; Hu, Hesheng; Zhou, Zixiang
2005
Simplified continuous finite element method for a class of nonlinear oscillating equations. Zbl 1243.65099
Xiong, Z. G.; Hu, H.
2005
Comparison of two Lindstedt-Poincaré-type perturbation methods. Zbl 1236.34050
Hu, H.; Xiong, Z. G.
2004
On time-like surfaces of positive constant Gaussian curvature and imaginary principal curvatures. Zbl 1084.37059
Gu, C. H.; Hu, H. S.; Inoguchi, Jun-Ichi
2002
Laplace sequences of surfaces in projective space and two-dimensional Toda equations. Zbl 1029.53018
Hu, Hesheng
2001
Darboux transformations between $$\Delta \alpha=\text{sinh}\alpha$$ and $$\Delta\alpha=\sin \alpha$$ and the application to pseudo-spherical congruences in $$\mathbb{R}^{2,1}$$. Zbl 0933.35185
Hu, Hesheng
1999
Construction of unitons via purely algebraic algorithm. Zbl 0962.53039
Gu, Chaohao; Hu, Hesheng
1999
Explicit construction of harmonic maps from $$R^ 2$$ to $$U(N)$$. Zbl 0830.58008
Gu, Chaohao; Hu, Hesheng
1995
On the geometry of sinh-Gordon equation. Zbl 0819.35120
Hu, Hesheng
1994
Explicit solutions to the intrinsic generalization for the wave and sine- Gordon equations. Zbl 0797.35146
Gu, Chaohao; Hu, Hesheng
1993
On the classical lump of Yang-Mills fields. Zbl 0738.53051
Hu, Hesheng
1991
Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. Zbl 0646.58016
Hu, Hesheng
1987
Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. II. Zbl 0663.58008
Hu, Hesheng; Wu, Siye
1987
Harmonic maps and pinching theorem for positively curved hypersurfaces. Zbl 0614.58018
Hu, H. S.; Pan, Y. L.; Shen, Y. B.
1987
A unified explicit form of Bäcklund transformations for generalized hierarchies of KdV equations. Zbl 0605.35077
Gu, Chaohao; Hu, Hesheng
1986
On the determination of nonlinear partial differential equations admitting integrable systems. Zbl 0605.35012
Gu, Chaohao; Hu, Hesheng
1986
A theorem of Liouville’s type on harmonic maps with finite or slowly divergent energy. Zbl 0619.58016
Hu, Hesheng; Pan, Yanglian
1986
The construction of hyperbolic surfaces in 3 dimensional Minkowski space and sinh-Laplace equation. Zbl 0594.53014
Hu, Hesheng
1985
A nonexistence theorem for harmonic maps with slowly divergent energy. Zbl 0549.58013
Hu, Hesheng
1984
Some nonexistence theorems for massive Yang-Mills fields and harmonic maps. Zbl 0561.58008
Hu, Hesheng
1984
Sine-Laplace equation, sinh-Laplace equation and harmonic maps. Zbl 0511.35061
Hu, Hesheng
1982
On the static solutions of massive Yang-Mills equations. Zbl 0531.53061
Hu, Hesheng
1982
On the spherically symmetric gauge fields. Zbl 0526.53067
Gu, Chaohao; Hu, Hesheng
1980
Riemannian spaces with local duality and gravitational instantons. Zbl 0382.53041
Gu, Chao-hao; Hu, He-sheng; Li, Da-qian; Shen, Chun-li; Xin, Yuan-long; Yang, Chen-ning
1978
all top 5

#### Cited by 139 Authors

 6 Gu, Chaohao 6 Sakhnovich, Alexander L. 5 Hu, Hesheng 3 Carillo, Sandra 3 Zuo, Dafeng 2 Cheng, Yi 2 Fritzsche, Bernd 2 Ganchev, Georgi T. 2 He, Qun 2 Inoguchi, Jun-ichi 2 Kirstein, Bernd 2 Lo Schiavo, Mauro 2 Mielke, Eckehard W. 2 Mihova, Vesselka 2 Qu, Changzheng 2 Schiebold, Cornelia 2 Shen, Yibing 2 Wajahat, H. 2 Zhou, Zixiang 1 Aktosun, Tuncay 1 Aledo, Juan Ángel 1 Amjad, Z. 1 Balandin, Alexander V. 1 Bracken, Paul Francis 1 Brugarino, Tommaso 1 Carroll, Robert Wayne 1 Chen, Dengyuan 1 Chen, Jinbing 1 Chen, Qing 1 Chou, Kai-Seng 1 Dai, Yu-Jie 1 de Lucas, Javier 1 Demontis, Francesco 1 Ding, Qing 1 Dong, Yuxin 1 Espinar, José María 1 Fan, Engui 1 Feng, LiLi 1 Folguera, Alejandro 1 Gálvez, Jose Antonio 1 Geng, Xianguo 1 González Hernández, Manuel 1 Grundland, Alfred Michel 1 He, Jingsong 1 He, Xiaokai 1 Heusler, Markus 1 Hu, Zejun 1 Huang, Shuting 1 Huang, Yong 1 Jiang, Ying 1 Jiménez, Sonia 1 Kang, Xiaorong 1 Kaptsov, Oleg Viktorovich 1 Karelin, Alexander A. 1 Kholodenko, Arkady L. 1 Li, Li 1 Li, Wei 1 Li, Yanyan 1 Lin, Junmin 1 Ling, Liming 1 Liu, Nan 1 Liu, Qingping 1 Lou, Wei-Wei 1 Luo, Honggang 1 Ma, Hui 1 Ma, Kaihua 1 Marvan, Michal 1 Masood-ul-Alam, A. K. M. 1 Meng, Gao-Qing 1 Mirzaokhmedov, Mansur Mavlonovich 1 Morales-Ruiz, Juan José 1 Ozdemir, Muhamet Emin 1 Ozdemir, Mustafa Kemal 1 Pan, Yanglian 1 Papathanasiou, Georgios 1 Pelinovsky, Dmitry Efimovich 1 Pérez-Lechuga, G. 1 Pobořil, M. 1 Pozdeeva, Ekaterina O. 1 Qi, Cheng 1 Qin, Jin-Lei 1 Qing, Chen 1 Qiu, Deqin 1 Rincón Maggiolo, Alí A. 1 Roitberg, Inna Ya. 1 Sánchez-Cauce, Raquel 1 Schirmer, Pedro Paulo 1 Schulze-Halberg, Axel 1 Sciacca, Michele 1 Seck Tuoh Mora, Juan Carlos 1 Shang, Yadong 1 Sheng, Pingxing 1 Shipman, Barbara A. 1 Shipman, Patrick D. 1 Shipman, Stephen P. 1 Shoji, Michihiko 1 Şimşek, Hakan 1 Sirendaoreji 1 Song, Yuping 1 Sun, Zhenzu ...and 39 more Authors
all top 5

#### Cited in 50 Serials

 10 Journal of Mathematical Physics 10 Letters in Mathematical Physics 7 Journal of Geometry and Physics 5 Theoretical and Mathematical Physics 3 Studies in Applied Mathematics 3 Nonlinear Dynamics 2 General Relativity and Gravitation 2 Chaos, Solitons and Fractals 2 Results in Mathematics 2 Differential Geometry and its Applications 2 Applied Mathematics. Series B (English Edition) 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Science China. Mathematics 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Integral Equations and Operator Theory 1 Journal of Computational and Applied Mathematics 1 Kodai Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Ricerche di Matematica 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Acta Mathematicae Applicatae Sinica. English Series 1 Science in China. Series A 1 Godishnik na Sofiĭskiya Universitet “Sv. Kliment Okhridski”. Fakultet po Matematika i Informatika 1 Expositiones Mathematicae 1 Acta Mathematica Sinica. New Series 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Mathematical Problems in Engineering 1 Positivity 1 Journal of Shanghai University 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Difference Equations 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Mathematical Modelling of Natural Phenomena 1 Discrete and Continuous Dynamical Systems. Series S 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Evolution Equations and Control Theory
all top 5

#### Cited in 25 Fields

 50 Dynamical systems and ergodic theory (37-XX) 46 Partial differential equations (35-XX) 31 Differential geometry (53-XX) 13 Quantum theory (81-XX) 11 Global analysis, analysis on manifolds (58-XX) 6 Relativity and gravitational theory (83-XX) 5 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Topological groups, Lie groups (22-XX) 2 Operator theory (47-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Astronomy and astrophysics (85-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.