马红彩

2015-06-01

基本信息

  • 姓 名:马红彩

  • 系 别:数学系

  • 职 称:教授

  • 办公电话:见黄页

  • 办公地址:2号学院楼2517

  • 电子邮件:hongcaima@dhu.edu.cn

  • 研究方向:孤立子与可积系统

主要教学课程

  • 微积分、线性代数、复变函数与积分变换、概率论与数理统计

教育背景

  • 1990年 - 1992年 洛阳高等师范专科学校 数学专业(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(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(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

  • 马光文, 郭宗宽, 马红彩 (2001) 基于诱生物质想法的五维 Dirac 方程. 郑州大学学报: 自然科学版 33:40–45.

  • Ma H-C (2002) Darboux Transformation and Soliton Solution. J Zhengzhou Univ 34:11–17.

  • Ma H-C (2005) A Simple Method to Generate Lie Point Symmetry Groups of (3+1)-Dimensional Jimbo-Miwa Equation. Chin Phys Lett 22:554–558.

  • Lou S, Ma H-C (2005) Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems obtained from a simple direct method. J Phys A Math Gen 38:L129–L137. doi: 10.1088/0305-4470/38/7/L04

  • Ma H-C, Lou S-Y (2005) Solutions Generated from the Symmetry Group of the (2+1)-Dimensional Sine-Gordon System. Z Naturforsch 60a:1–8.

  • Ma H-C, Lou S-Y (2005) Finite Symmetry Transformation Groups and Exact Solutions of Lax Integrable. Commun Theor Phys 44:193–196.

  • Ma H-C, Lou S (2005) Finite symmetry transformation groups and exact solutions of Lax integrable systems. Chin Phys 14:1495–1500.

  • Ma H-C (2005) Generating Lie point symmetry groups of (2+1)-dimensional Broer-Kaup equation via a simple direct method. Commun Theor Phys 43:1047–1052.

  • Ma H-C, Lou S (2006) Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems. Commun Theor Phys 46:1005–1010.

  • Lou SY, Ma H-C (2006) Finite symmetry transformation groups and exact solutions of Lax integrable systems. Chaos, Solitons & Fractals 30:804–821. doi: 10.1016/j.chaos.2005.04.090

  • Ma H-C, Yu Y-D, Ge D-J (2008) New exact traveling wave solutions for the modified form of Degasperis–Procesi equation. Appl Math Comput 203:792–798. doi: 10.1016/j.amc.2008.05.088

  • Ma H-C, Zhang Y-L, Deng A-P (2008) Auxiliary Equation Method and New Exact Solutions of BKP Equation. Quart J Math 23:159–164.

  • Ma H-C, Ge D-J, Yu Y (2008) New periodic wave solutions, localized excitations and their interaction for (2+1)-dimensional Burgers equation. Chin Phys B 17:4344–4353.

  • Ma H-C, Lou S, Deng A (2008) Lie symmetry groups of high dimensional non-integral nonlinear systems. J Phys Conf Ser 96:12166. doi: 10.1088/1742-6596/96/1/012166

  • Ma H-C, Lou S-Y, Deng A-P (2008) Lie Symmetry Groups of (2+1)-Dimensional BKP Equation and Its New Solutions. Commun Theor Phys 50:685–688.

  • Ge D-J, Ma H-C, Yu Y-D (2009) New Periodic Wave Solutions and Their Interaction for (2+1)-dimensional KdV Equation. Chin Quart J Math 24:525–536.

  • Ma H-C, Yu Y-D, Ge D-J (2009) New Exact Travelling Wave Solutions for Zakharov–Kuznetsov Equation. Commun Theor Phys 51:609–612.

  • Ma H-C, Deng A (2009) New Exact Complex Solutions for Third-order Isospectral AKNS and the MBBM Equations. Int J Nonlinear Sci Numer Sim 10:215–219.

  • Ma H-C, Deng A, Qin Z (2009) New Periodic Solution to Jacobi Elliptic Functions of a (2+1)-Dimensional BKP Equation and a Generalized Klein-Gordon Equation. Chin Phys Lett 26:40201.

  • Ma H-C, Wang Y, Qin Z (2009) New exact complex traveling wave solutions for (2+1)-dimensional BKP equation. Appl Math Comput 208:564–568. doi: 10.1016/j.amc.2008.12.032

  • Ma H-C, Yu Y-D, Ge D-J (2009) The auxiliary equation method for solving the Zakharov–Kuznetsov (ZK) equation. Compu Math Appl 58:2523–2527. doi: 10.1016/j.camwa.2009.03.036

  • Yu Y, Ma H-C (2010) Exact solutions of the combined KdV–Burgers equation with variable coefficients. Appl Math Comput 215:3534–3540. doi: 10.1016/j.amc.2009.10.050

  • Yu Y, Ma H-C (2010) Explicit solutions of (2+1)-dimensional nonlinear KP-BBM equation by using Exp-function method. Appl Math Comput 217:1391–1397. doi: 10.1016/j.amc.2009.05.035

  • Ma H-C, Deng A, Wang Y (2011) Exact solution of a KdV equation with variable coefficients. Compu Math Appl 61:2278–2280. doi: 10.1016/j.camwa.2010.09.048

  • Qin Z-Y, Ma W-X, Ma H-C (2012) Painlevé Integrability of Coupled Variable Coefficient Higher-Order Nonlinear Schrödinger Equations with Free Parameters. Chin Ann Math A 33:229–236.

  • Ma H-C, Zhang Z-P, Deng A-P (2012) A New Periodic Solution to Jacobi Elliptic Functions of MKdV Equation and BBM Equation. Acta Math Appl Sin 28:409–415. doi: 10.1007/s10255-012-0153-7

  • Ma H-C, Qin Z, Deng A-P (2013) Lie symmetry and Exact solution of (2+1)-dimensional generalized KP equation with variable coefficients. Therm Sci 17:1490–1493. doi: 10.2298/TSCI1305490

  • Ma H-C, Bai Y, Deng A (2013) Exact three-wave solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Adv Differ Equations 2013:321. doi: 10.1186/1687-1847-2013-321

  • Ma H-C, Bai Y-B (2013) Wronskian determinant solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. J Appl Math Phys 1:18–24.

  • Qin Z, Mu G, Ma H-C (2013) G’/G-expansion method for the fifth-order forms of KdV–Sawada–Kotera equation. Appl Math Comput 222:29–33. doi: 10.1016/j.amc.2013.06.093

  • Ma H-C, Qin Z, Deng A (2013) Symmetry Transformation and New Exact Multiple Kink and Singular Kink Solutions for (2+1)-Dimensional Nonlinear Models Generated by the Jaulent-Miodek Hierarchy. Commun Theor Phys 59:141–145.

  • Ma H-C, Deng A, Yu Y (2014) Lie Symmetry Group of (2+1)-dimensional Jaulent-Miodek Equation. Therm Sci 18:1547–1552.

  • Ma H-C, Bai Y (2014) New Solutions of the Schwarz-Korteweg-de Vries Equation in 2+1 Dimensions with the Gauge Transformation. Int J Nonlinear Sci 17:41–46.

  • Ma H-C, Peng X-F, Yao D-D (2015) Improved hyperbolic function method and exact solutions for variable coefficient Benjamin-Bona-Mahony-Burgers equation. Therm Sci 19:1183–1187. doi: 10.2298/TSCI1504183M

  • Ma H-C, Yao D-D, Peng X-F (2015) Exact solutions of non-linear fractional partial differential equations by fractional sub-equation method. Therm Sci 19:1239–1244. doi: 10.2298/TSCI1504239M

  • 邓爱平, 马红彩 (2016) 数学专业“离散数学”课程的教学探讨. 纺织服装教育 31:149–152. doi: 10.1017/CBO9781107415324.004

  • Ma H-C, Ni K, Ruan G, Deng A (2016) Rational solution to a shallow water wave-like equation. Therm Sci 20:875–880. doi: 10.2298/TSCI2003875M

  • Ma H-C, Ruan G, Ni K, Deng A (2016) Rational solutions to an Caudrey-Dodd-Gibbon-Sawada-Kotera-like equation. Therm Sci 20:871–874. doi: 10.2298/TSCI2003871M

  • Ma H-C, Deng A-P (2016) Lump Solution of (2+1)-Dimensional Boussinesq Equation. Commun Theor Phys 65:546–552.

主持及参与项目

  • 2007.1-2007.12, 主持《非线性系统的对称与精确解的研究》国家自然科学基金主任基金。

  • 2009年-2010年,主持《复杂非线性系统的对称与精确解的研究》中央高校专项基金。

  • 2010年-2013年,主持《离散可积系统》中央高校专项基金。

  • 2014年-2017年,主持《复杂非线性系统的几个问题研究》国家自然科学基金面上项目。

  • 2009年-2011年,参与《非线性发展方程及其吸引子》国家自然科学基金面上项目。

  • 2014年-2016年,参与《若干运算下图的代数表示与刻画》上海市自然科学基金项目。