马红彩

基本信息姓名马红彩
职称教授
联系方式见学院黄页
电子邮件hongcaima@dhu.edu.cn
研究方向孤立子与可积系统
学习经历起止年月学校专业学位/学历
1990 - 1992洛阳高等师范专科学校数学专业专科
1994 - 1997河南财经学院会计学专业本科
1999 - 2002郑州大学基础数学专业硕士
2002 - 2005上海交通大学理论物理专业博士
工作经历起止年月单位职称/职务
2005/07-东华大学教授
教学成果课程名称
微积分、线性代数、复变函数与积分变换、概率论与数理统计
科研成果研究名称
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。
代表性论文&科研
H.-C. Ma, Y.-X. Wang, A.-P. Deng, Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation, J. Geom. Phys. 168 (2021) 104309.
H.-C. Ma, Q.-X. Cheng, A.-P. Deng, N-soliton solutions and localized wave interaction solutions of a (3+1)-dimensional potential-Yu–Toda–Sasa–Fukuyamaf equation, Mod. Phys. Lett. B. 35 (2021) 2150277.
H.-C. Ma, Q.-X. Cheng, A.-P. Deng, Soliton molecules, asymmetric soliton and some novel hybrid solutions for the isospectral BKP equation, Mod. Phys. Lett. B. 35 (2021) 2150174.
H. -C. Ma, H.-Y. Huang, A. -P. Deng, Solitons and Soliton Molecules in two Nonlocal Alice-Bob Fifth-Order KdV Systems, Int. J. Theor. Phys. 60 (2021) 3051–3062.
H.-C. Ma, H.-F. Wu, W.-X. Ma, A.-P. Deng, Lump and Interaction Solutions of the (2+1)-dimensional bSK equation, East Asian J. Applied Math. (2021) 180121.
H.-C. Ma, H.-F. Wu, W.-X. Ma, A.-P. Deng, Localized interaction solutions of the (2+1)-dimensional Ito Equation, Opt. Quantum Electron. 53 (2021) 303.
H.-C. Ma, Q.-X. Cheng, A.-P. Deng, Solitons, Breathers, and Lump Solutions to the (2+1)-Dimensional Generalized Calogero–Bogoyavlenskii–Schiff Equation, Complexity. 2021 (2021) 7264345.
Ma, H.-C., 2020. New methods for finding symmetry groups of nonlinear systems. J. Ningbo Univ. 33, 32–38.
Ma, H., Cheng, Q., Deng, A., 2020. Soliton molecules and some novel hybrid solutions for the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation. Commun. Theor. Phys. 72, 095001.
Ma, H., Zhang, C., Deng, A., 2020. New Periodic Wave, Cross-Kink Wave, Breather, and the Interaction Phenomenon for the (2 + 1)-Dimensional Sharmo–Tasso–Olver Equation. Complexity 2020, 1–8.
Ma, H., Zhang, C., Deng, A., 2020. Breather Wave Solutions and Interaction Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations. Adv. Math. Phys. 2020, 1–10.
Ma, H., Bai, Y., Deng, A., 2020. Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation. Adv. Math. Phys. 2020, 1–7.
Ma, H., Bai, Y., Deng, A., 2020. Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation. Math. Methods Appl. Sci. 43, 7135–7142.
Ma, H., Wu, H.-F., Deng, A., 2020. Novel Interaction Phenomena of Localised Waves in the (2 + 1)-Dimensional HSI Equation. East Asian J. Applied Math. 10, 485–498.
Ma, H.-C., Meng, X.-M., Wu, H.-F., Deng, A.-P., 2019. A class of lump solutions for Ito equation. Therm. Sci. 23, 2205–2210.
Ma, H.-C., Meng, X.-M., Wu, H.-F., Deng, A.-P., 2019. Exact solutions of the space-time fractional equal width equation. Therm. Sci. 23, 2307–2313.
Meng, X.-M., Ma, H.-C., 2019. The Lump Solutions of the (1 + 1)-Dimensional Ito-Equation. Open J. Appl. Sci. 9, 121–125.
Ma, H.-C., Ni, K., Deng, A., 2017. Lump solutions to the (2+1)-dimensional shallow water wave equation. Therm. Sci. 21, 1765–1769.
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.
Ma, H.-C., Ni, K., Ruan, G., Deng, A., 2016. Rational solution to a shallow water wave-like equation. Therm. Sci. 20, 875–880.
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.
Ma, H.-C., Deng, A.-P., 2016. Lump Solution of (2+1)-Dimensional Boussinesq Equation. Commun. Theor. Phys. 65, 546–552.
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.
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.
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., 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.
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.
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.
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.
Qin, Z.-Y., Ma, W., Ma, H.-C., 2012. Painlev\’{e} Integrability of Coupled Variable Coefficient Higher-Order Nonlinear Schr\’’{o}dinger 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.
Ma, H.-C., Deng, A., Wang, Y., 2011. Exact solution of a KdV equation with variable coefficients. Compu. Math. Appl. 61, 2278–2280.
Yu, Y., Ma, H.-C., 2010. Exact solutions of the combined KdV–Burgers equation with variable coefficients. Appl. Math. Comput. 215, 3534–3540.
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.
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, 040201.
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.
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.
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.
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, 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.
Ma, H.-C., Lou, S., 2006. Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems. Commun. Theor. Phys. 46, 1005–1010.
Lou, S.-Y., Ma, H.-C., 2006. Finite symmetry transformation groups and exact solutions of Lax integrable systems. Chaos, Solitons & Fractals 30, 804–821.
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.-Y., 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.
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., 2002. Darboux Transformation and Soliton Solution. J. Zhengzhou Univ. 34, 11–17.
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.