东华大学 理学院 马红彩（副教授）导师介绍

教育背景:


1990年--1992年 洛阳高等师范专科学校 数学专业

主修课程:

数学分析、高等代数、空间解析几何、复变函数、高等几何、概率论与数理统计、计算机、普通物理学、教育心理学等。

1994年--1997年 河南财经学院 会计学专业

主修课程:

财务管理、市场营销、高数、英语、会计学原理、管理会计、统计学、经济法、审计学、管理学、财政金融学等。

1999年--2002年 郑州大学 基础数学专业

主修课程:

经典可积系统、抽象代数、代数曲线、群论、微分流形、代数拓扑、泛函分析、微分几何、英语、哲学

2002年--2005年 上海交通大学 理论物理专业

主修课程:　非线性系统稳定性分析、孤子理论选题、科学计算（小波分析）、多媒体文献阅读、英语、哲学等



论文情况:

达布变换和孤子解　郑州大学学报　理学版 第34卷 第2期


1. Ma hong-cai, A simple method to generate Lie point symmetry groups of (3+1)-dimensional Jimbo-Miwa equation Chin. Phys. Lett. 22 (2005) 554-557 (SCI)

2. Lou sen-yue, Ma hong-cai, Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method J. Phys. A: Math. Gen. 38 (2005) L129-L137 (SCI)

3. Ma hong-cai, Lou sen-yue, Finite symmetry transformation groups and exact solutions of Lax integrable systems Chin. Phys. 2005，14（8）(SCI,EI)

4. Ma hong-cai, Generating Lie point symmetry groups of (2+1)-dimensional Broer-Kaup equation via a simple direct method Commn.Thero.Phys. 43(2005),1047-1052 (SCI)

5. Ma hong-cai, Lou sen-yue, Solutions generated from the symmetry group of the (2+1)-dimensional Sine-gordon system Z. Naturforsch. 60a(2005) 229-236 (SCI)

6. Ma hong-cai, Lou sen-yue, Finite symmetry transformation groups and exact solutions of Lax integrable systems Commn.Thero.Phys. 44(2005), 193-196 (SCI)

7. Lou sen-yue, Ma hong-cai, Finite symmetry transformation groups and exact solutions of Lax integrable systems Chaos, Soliton & Fractals 30(2006) 804-821 (EI)

8. Ma hong-cai, Lou sen-yue, Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems Commun. Theor. Phys. 46(2006) 1005-1010 (SCI)

9. Ma hong-cai, Lou sen-yue and Deng ai-ping, Lie Symmetry Groups of (2+1)-Dimensional BKP Equation and Its New Solutions Commun. Theor. Phys. 50(2008) 685-688 (SCI)

10. Ma hong-cai, Lou sen-yue and Deng ai-ping, Lie symmetry groups of high dimensional no-integral nonlinear systems Journal of Physics: Conference Series 96 (2008) 012166 (EI)

11. Ma hong-cai, Zhang ya-li and Deng ai-ping, Auxiliary Equation Method and New Exact Solutions of BKP Equation 《数学季刊》2 （2008）159-164.（核心）

12. Hongcai Ma, Yaodong Yu and Dongjie Ge, New exact traveling wave solutions for the modified form of Degasperis-Procesi equation Applied Mathematics and Computation 203 (2008) 792-798. (SCI)

13. Hongcai Ma, Dongjie Ge and Yaodong Yu, New periodic wave solutions, localized excitations and their interaction for (2+1)-dimensional Burgers equation Chinese Physics B 17 (2008) 4344-4353 (SCI)

14. Hongcai Ma, Yan Wang and Zhenyun Qin, New exact complex traveling wave solutions for (2+1)-dimensional BKP equation Applied Mathematics and Computation 208 (2009), pp. 564-568 (SCI)

15. Ma hongcai and Deng aiping, New exact complex solutions for third-order isospectral AKNS and the MBBM equations Int. J. nonlinear Sci. Num. Sim. Preprint (SCI)

16. Ma hongcai, Yu yaodong and Ge dongjie, New exact travelling wave solutions for the Zakharov-Kuznetsov equation Commun. Theor. Phys. Preprint (SCI)

17. Ma hongcai, Yu yaodong and Ge dongjie, Auxiliary equation method for the Zakharov-Kuznetsov (ZK) equation Computers and Mathematics with Applications Preprint (SCI)

18. Ge dongjie, Ma hongcai and Yu yaodong, New periodic wave solutions, localized excitations and their interaction for (2+1)-dimensional KdV equation 数学季刊 preprint （核心）

19. Ma hongcai, Zhang zhiping and Deng aiping, A new periodic solution to Jacobi Elliptic functions of MKdV equation and BBM equation 应用数学学报 preprint（核心）

20. Ma hongcai, Deng aiping and Qin zhenyun, New periodic solution to Jacobi Elliptic functions of (2+1)-dimensional BKP equation and generalized Klein-Gordon equation accepted (SCI)