标题: 郑州大学数学系研究生导师——耿献国教授 [打印本页] 作者: 郑大考研网1 时间: 2010-11-30 10:55 标题: 郑州大学数学系研究生导师——耿献国教授 姓名： 耿献国
E-mail： xggeng@zzu.edu.cn
研究方向： 孤立子与可积系统
个人简介
耿献国，博士，教授，博士生导师。现任郑州大学数学系主任, 中国工业与应用数学学会理事，中国数学会理事，河南省数学会理事长。美国《数学评论》(Mathematical Reviews)评论员，德国《数学文摘》(Zentralblatt Math)评论员。
获奖情况
获国务院政府特殊津贴，河南省优秀专家，河南省青年科技奖，河南省自然科学优秀论文一等奖六项。主要论文
1. X.G. Geng and B. Xue, An extension of integrable peakon equations with cubic nonlinearity, Nonlinearity22, 8 (2009) 1847–1856
2. X.G. Geng, H.F. Ren and G.L. He, Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg–de Vries equation, Physical Review E 79, 5 (2009) 056602
3. X.G. Geng, H.H. Dai and J.Y. Zhu, Decomposition of the discrete Ablowitz-Ladik hierarchy, Studies in Applied Mathematics 118, 3 (2007) 281-312
4. X.G. Geng and T. Su, Discrete coupled derivative nonlinear Schrödinger equations and their quasi-periodic solutions, Journal of Physics A: Math. Theor. 40, 3 (2007) 433-453
5. X.G. Geng and H.H. Dai, Nonlinearization of the Lax pairs for discrete Ablowitz–Ladik hierarchy, Journal of Mathematical Analysis and Applications 327, 2 (2007) 829-853
6. H.H. Dai and X.G. Geng, Explicit solutions of the 2+1-dimensional modified Toda lattice through straightening out of the relativistic Toda flows，Journal of the Physical Society of Japan72, 12(2003) 3063-3069.
7. X.G. Geng, H.H. Dai and C.W. Cao, Algebro–geometric constructions of the discrete Ablowitz–Ladik flows andapplications, Journal of Mathematical Physics 44, 10 (2003) 4573-4588.
8. X.G. Geng, Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations, Journal of Physics A: Math. Gen. 36, 9 (2003) 2289-2303.
9. X.G. Geng and H.H. Dai, Quasi-periodic solutions for some 2+1-dimensional discrete models, Physica A: Statistical Mechanics and its Applications 319, (2003) 270-294.
X.G. Geng and C.W. Cao, Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions, Nonlinearity 14, 6 (2001) 1433-1452.
科研项目
曾主持完成四项国家自然科学基金项目，承担完成国家重点基础性研究发展规划(973规划)的子项目并主持完成河南省杰出青年科学基金项目。
现主持国家自然科学基金项目“代数曲线在孤立子系统研究中的应用”，河南省杰出人才计划项目一项和博士点基金联合资助课题.