馬紅彩

基本信息姓名馬紅彩
職稱教授
聯系方式見學院黃頁
電子郵件hongcaima@dhu.edu.cn
研究方向孤立子與可積系統
學習經曆起止年月學校專業學位/學曆
1990 - 1992洛陽高等師範專科學校數學專業專科
1994 - 1997河南财經學院會計學專業本科
1999 - 2002鄭州大學基礎數學專業碩士
2002 - 2005上海交通大學理論物理專業博士
工作經曆起止年月單位職稱/職務
2005/07-至今東華大學教授
教學工作課程名稱
微積分、線性代數、複變函數與積分變換、概率論與數理統計
科研成果研究名稱
2007.1-2007.12, 主持《非線性系統的對稱與精确解的研究》國家自然科學基金主任基金。
  2009年-2010年,主持《複雜非線性系統的對稱與精确解的研究》中央高校專項基金。
  2010年-2013年,主持《離散可積系統》中央高校專項基金。
  2014年-2017年,主持《複雜非線性系統的幾個問題研究》國家自然科學基金面上項目。
  2009年-2011年,參與《非線性發展方程及其吸引子》國家自然科學基金面上項目。
  2014年-2016年,參與《若幹運算下圖的代數表示與刻畫》上海市自然科學基金項目。
代表性論文
H. Ma, X. Chen, A. Deng, Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation, Universe. 9 (2023) 55.
H. Ma, X. Chen, A. Deng, Resonance Y-type soliton and new hybrid solutions generated by velocity resonance for a (2+1)-dimensional generalized Bogoyavlensky–Konopelchenko equation in a fluid, Nonlinear Dyn. 111 (2023) 7599–7617.
H. Ma, Y. Gao, A. Deng, Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation, Nonlinear Dyn. 111 (2023) 4645–4656.
H. Ma, Y. Gao, A. Deng, Nonlinear superposition of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation, Nonlinear Dyn. 111 (2023) 619–632.
H. Ma, X. Chen, A. Deng, Rational and semi-rational solution to the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation, Phys. Scripta. 98 (2023) 055203.
H. Ma, S. Yue, Y. Gao, A. Deng, Lump Solution , Breather Soliton and More Soliton Solutions for a (2+1) -Dimensional Generalized Benjamin – Ono Equation, Qual. Theory Dyn. Syst. 22 (2023) 72.
H. Ma, Y. Gao, A. Deng, Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics, Nonlinear Dyn. 108 (2022) 4123–4137.
H.-C. Ma, Y. Wang, A. Deng, Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance, Chin. Phys. B. 31 (2022) 010201.
H.-C. Ma, Y.-D. Gao, A.-P. Deng, Solutions of novel soliton molecules and their interactions of (2 + 1)-dimensional potential Boiti–Leon–Manna–Pempinelli equation, Chin. Phys. B. 31 (2022) 070201.
H. Ma, S. Yue, A. Deng, D’Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation, J. Geom. Phys. 172 (2022) 104413.
H. Ma, S. Yue, A. Deng, Lump and interaction solutions for a (2 + 1)-dimensional combined pKP-BKP equation in fluids, Mod. Phys. Lett. B. 36 (2022) 2250069.
H. Ma, Y. Gao, A. Deng, Nonlinear superposition of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation, Nonlinear Dyn. (2022).
H. Ma, S. Yue, A. Deng, Resonance Y-shape solitons and mixed solutions for a (2+1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics, Nonlinear Dyn. 108 (2022) 505–519.
H.-C. Ma, S.-P. Yue, A.-P. Deng, Nonlinear superposition between lump and other waves of the (2+1)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid dynamics, Nonlinear Dyn. 109 (2022) 1969–1983.
H.-C. Ma, H. Huang, A. Deng, Soliton molecules and some interaction solutions for the (3+1)-dimensional Jimbo-Miwa equation, J. Geom. Phys. 170 (2021) 104362.
H.-C. Ma, H. Huang, A. Deng, Soliton molecules and some novel hybrid solutions for (3+1)-dimensional B-type Kadomtsev–Petviashvili equation, Mod. Phys. Lett. B. 35 (2021) 2150388.
H.-C. Ma, Y.-X. Bai, A.-P. Deng, General M-lump, high-order breather, and localized interaction solutions to (2 + 1)-dimensional generalized Bogoyavlensky-Konopelchenko equation, Front. Math. China. (2021) 1–18.
H.-C. Ma, Y.-D. Gao, A.-P. Deng, D’Alembert wave and soliton molecule of the generalized Nizhnik–Novikov–Veselov equation, Mod. Phys. Lett. B. 35 (2021) 2150482.
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.
鄧愛平, 馬紅彩, 2016. 數學專業“離散數學”課程的教學探讨. 紡織服裝教育 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.
馬光文, 郭宗寬, 馬紅彩, 2001. 基于誘生物質想法的五維 Dirac 方程. 鄭州大學學報: 自然科學版 33, 40–45.
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