葛根哈斯

2016-11-29 文字:  点击:[]

姓名:葛根哈斯

      _MG_0347 副本

职称:副教授 (硕导)

部门:应用数学系

研究方向:孤立子与可积系统

邮箱:gegen@amss.ac.cn

教育经历

1. 2003/92006/7中科院数学与系统科学院,攻读理学博士学位,研究方向为孤立子与可积系统

2. 1999/92002/7内蒙古大学,攻读理学硕士学位,研究方向为Boltzmann方程。

3. 1995/91999/7内蒙古大学,攻读理学学士学位,应用数学专业。

主讲课程

《高等数学A》,《高等数学B》,《偏微分方程(研究生)》

科研论著

1.    Gegenhasi ,Ya-Qian Li and Duo-Duo Zhang: Self-consistent sources extensions of modifled difierential-difierence KP equation. Communications in Theoretical Physics, 2018, 69 (4): 357–366.

2.    Gegenhasi: The modified two-dimensional Toda lattice with self-consistent sources, Advances in Difference Equations, 2017, 2017: 277-293.  https://doi.org/10.1186/s13662-017-1347-3.

3.    Gegenhasi: The modified semi-discrete two-dimensional Toda lattice with self-consistent sources, Analysis and Mathematical Physics, 2017. DOI:  10.1007/s13324-017-0184-6.

4.    Gegenhasi  and  XiaorongBai: On the modified discrete KP equation with  self-consistent sources, Journal of  Nonlinear Mathematical Physics201724(2)224-238.

5.    Gegenhasi and Zhaowen Yan: On the discrete three-dimensional three wave interaction equation with self-consistent sourcesFrontiers of Mathematics in China201611(6)1501-1513.

6.  Zhaowen Yan and Gegenhasi: On a integrable deformations of Heisenberg supermagnetic modelJournal of  Nonlinear Mathematical Physics201623(3)335-342.

7.  Zhaowen YanShaokui YaoChunhong Zhang and Gegenhasi: The fermionic covariant prolongation structure of the super generalized Hirota equation, Modern Physics Letters B201630(19)1650251.

8.  Gegenhasi: Two new reductions of a 2 x 2 discrete spectral problem and their corresponding discrete Hamiltonian systems1st International Workshop on Nonlinear and Modern Mathematical Physics243-2532009.7.15-2009.7.21.

9.  Jun-Xiao Zhao, Gegenhasi and Xing-Biao Hu: Commutativity of Pfaffianization and Bäcklund Transformations : Two Differential-Difference SystemsJournal of the Physical Society of Japan20097(6): 064005-064009.

10. Ling-Zhi Peng, Meng-Xia ZhangGegenhasi and Q.P. Liu: On integrability of a (2+1)-dimensional MKdV-type equationPhysics Letters A2008372 (23): 4197-4204.

11. Gegenhasi, Hu, Xing-Biao, Levi, Decio, Tsujimoto, Satoshi: A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair, Journal of Physics A-Mathematical and Theoretical200740 (42): 12741-12751.

12. Gegenhasi, Xing-Biao Hu: Integrability of a differential-difference KP equation with self-consistent sourcesMathematics and Computers in Simulation200774145-158.

13. Gegenhasi, Hu, Xing-Biao and Wang, Hong-Yan: A (2+1)-dimensional sinh-Gordon equation and its Pfaffian generalizationPhysics Letters A2007360 (3)439-447.

14. Hong-Yan Wang, Xing-Biao Hu and Gegenhasi: 2D Toda lattice equation with self-consistent sources:  Casoratian type solutions, bilinear Bäcklund transformation and Lax pairJournal of Computational and Applied Mathematics2007202 (1): 133-143.

15. Gegenhasi, Hon-Wah Tam and Hong-Yan Wang: On an integrable two-dimensional special lattice with self-consistent sourcesReports on Mathematical Physics200658 (2)195-205.

16. Gegenhasi andTam, Hon-Wah: A pfaffian solution to the modified discrete BKP equationChaos Solitons & Fractals200630 (1)67-70.

17. GegenhasiHu, Xing-BiaoLevi, DecioOn a discrete Davey-Stewartson systemInverse Problems200622 (5)1677-1688.

18. Gegenhasi and Xing-Biao Hu: On an integrable differential-difference equation with a sourceJournal of Nonlinear Mathematical Physics200613 (2)183-192.

19. Gegenhasi, Xing-Biao Hu and Hon-Wah Tam, Pfaffianization of the q-difference version of the two-dimensional Toda lattice equationJournal of Nonlinear Mathematical Physics, 2005, 12147-152.

20. Gegenhasi, Xing-Biao Hu and Hon-Wah Tam: A pfaffian version of the modified discrete KP equationJournal of Mathematical Analysis and Applications2005311 (2)518-529.

21. Gegenhasi, Jun-Xiao Zhao, Xing-Biao Hu and Hon-Wah Tam: Pfaffianization of the discrete three-dimensional three wave interaction equationLinearAlgebra and its Applications2005407277-295.

22. Chun-Xia Li, Jonathan J.C. NimmoXing-Biao Hu and Gegenhasi: On an integrable modified -dimensional LotkaVolterra equation, Journal of Mathematical Analysis and Applications2005309 (2)686-700.

23. Jun-Xiao Zhao, Gegenhasi, Hon-Wah Tam and Xing-Biao Hu: Pfaffianization of the three-dimensional three-wave equationJournal of Physics A-Mathematical and General200538 (5)1113-1118.

科研项目

1. 国家自然科学基金青年基金项目。项目名称“离散和超对称可积系统若干问题的研究”。项目号:1160124720171月至201912,主持。

2. 内蒙古自然科学基金面上项目。 项目名称“关于离散和非交换可积系统的研究”。项目号:2016MS011520161月至201812,主持。

3. 内蒙古大学高层次人才引进科研启动项目。项目名称“关于离散和超对称可积系统的研究”,201212月至201412,主持。

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