耿獻國

耿獻國, 理學博士，教授, 博士生導師。現任鄭州大學數學與統計學院院長, 中國數學會理事，河南省數學會理事長。美國《數學評論》(Mathematical Reviews)和德國《數學文摘》(Zentralblatt Math)評論員。

可積系統及應用

獲國務院政府特殊津貼，河南省優秀專家，河南省青年科技獎，河南省自然科學優秀論文一等獎八項。河南省優秀中青年骨幹教師，河南省跨世紀學術與技術帶頭人。2012年獲教育部國務院學位委員會: 全國優秀博士學位論文指導教師。

現主持國家自然科學基金重點項目一項和國家自然科學基金面上項目一項。主持完成國家自然科學基金項目五項和河南省傑出青年科學基金項目一項、河南省傑出人才計劃項目一項，承擔完成國家重點基礎性研究發展規劃(973規劃)子項目一項。

1．X.G. Geng, Y.Y. Zhai and H.H. Dai, Algebro-geometric solutions of the coupled modified Korteweg-de Vries hierarchy, Advances in Mathematics 263 (2014) 123-153.

2．G.L. He, X.G. Geng, L.H. Wu, Algebro-geometric quasi-periodic solutions to the three-wave resonant interaction hierarchy, SIAM Journal on Mathematical Analysis 46, 2 (2014) 1348-1384.

3．X.G. Geng, LH. Wu and G.L. He, Quasi-periodic solutions of the Kaup-Kupershmidt hierarchy, Journal of Nonlinear Science 23, 4 (2013) 527-555.

4．X.G. Geng and H. Wang, Coupled Camassa-Holm equations, N-peakons and infinitely many conservation laws, Journal of Mathematical Analysis and Applications 403, 1 (2013) 262-271.

5．X.G. Geng, B. Xue, and LH. Wu, A super Camassa–Holm equation with N-peakon solutions, Studies in Applied Mathematics 130, 1 (2013) 1-16.

6．X.G. Geng and D. Gong, Quasi-periodic solutions of the discrete mKdV hierarchy, International Journal of Geometric Methods in Modern Physics 10, 3 (2013) 1250094.

7．X.G. Geng and Y.Y. Lv, Darboux transformation for an integrable generalization of the nonlinear Schrodinger equation, Nonlinear Dynamics 69, 4 (2012) 1621-1630.

8．L.H. Wu, G.L. He and X.G. Geng, Quasi-periodic solutions to the two-component nonlinear Klein–Gordon equation, Journal of Geometry and Physics 66 (2013) 1-17.

9．X.G. Geng, L.H. Wu and G.L. He, Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions, Physica D：Nonlinear Phenomena 240, 16 (2011) 1262–1288.

10．X.G. Geng and B. Xue, A three-component generalization of Camassa-Holm equation with N-peakon solutions, Advances in Mathematics 226, 1 (2011) 827-839.

11．X.G. Geng and B. Xue, Quasi-periodic solutions of mixed AKNS equations, Nonlinear Analysis: Theory, Methods & Applications 73, 11 (2010) 3662-3674.

12．X.G. Geng and B. Xue, Soliton solutions and quasiperiodic solutions of modified Korteweg-de Vries type equations, Journal of Mathematical Physics 51, 6 (2010) 063516.

13．X.G. Geng and L.H. Wu, A new super-extension of the KdV hierarchy, Applied Mathematics Letter 23, 6 (2010) 716–721.

14．X.G. Geng and B. Xue, An extension of integrable peakon equations with cubic nonlinearity, Nonlinearity 22, 8 (2009) 1847–1856.

15．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.

16．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.

17．X.G. Geng and T. Su, Discrete coupled derivative nonlinear Schrodinger equations and their quasi-periodic solutions, Journal of Physics A: Math. Theor. 40, 3 (2007) 433-453.

18．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.

19．X.G. Geng, H.H. Dai and C.W. Cao, Algebro–geometric constructions of the discrete Ablowitz–Ladik flows and applications, Journal of Mathematical Physics 44, 10 (2003) 4573-4588.

20．X.G. Geng, Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations, Journal of Physics A: Math. Gen. 36, 9 (2003) 2289-2303.