马红彩教授
马红彩，1972年11月出生。应用数学学科教授。近年来发表论文八十多篇。主要从事孤立子与可积系统方面的研究，讨论连续和离散偏微分方程的可积性及精确解，这些解在物理、力学、流体、等离子体、纺织等学科都有广泛应用。
研究方向：
孤立子与可积系统
1、非线性偏微分方程的精确解
2、可积系统及其数学结构
荣誉及获奖情况：
1、2007年宁波市科技进步一等奖
2、2009年获学生心目中的好老师称号
3、2018年获学生心目中的好老师称号
近年来承担的主要科研项目：
1、国家自然科学基金面上项目，11371086，复杂非线性系统的几个问题研究，55万，在研，主持。
2、国家自然科学基金理论物理专项基金项目，10647112，非线性系统的对称与精确解的研究，2万，结题，主持。
3、上海市科学基金项目，13ZR1400100 ，若干运算下图的代数表示与刻画，10万，结题，参与。
近年来发表的代表性论著、专利：
论文
Ma, H., Su, N., & Deng, A. (2024). Exact solutions of the time-fractional extended (3+1)-dimensional Kadomtsev–Petviashvili equation. Nonlinear Dynamics, 112(7), 5575–5590. https://doi.org/10.1007/s11071-024-09318-z
Ma, H., Chen, X., & Deng, A. (2023). Novel soliton molecule solutions for the second extend (3+1)-dimensional Jimbo-Miwa equation in fluid mechanics. Communications in Theoretical Physics, 75(12), 125004. https://doi.org/10.1088/1572-9494/ad0960
Ma, H., Su, N., & Deng, A. (2023). Bilinear auto-Bäcklund transformations and the hybrid localized wave solutions for the (3+1)-dimensional B-type Kadomtsev–Petviashvili equation. Optical and Quantum Electronics, 55(12), 1116. https://doi.org/10.1007/s11082-023-05440-1
Ma, H., Yue, S., Gao, Y., & Deng, A. (2023). Lump Solution , Breather Soliton and More Soliton Solutions for a (2+1) -Dimensional Generalized Benjamin – Ono Equation. Qualitative Theory of Dynamical Systems, 22, 72. https://doi.org/10.1007/s12346-023-00769-0
Ma, H., Chen, X., & Deng, A. (2023). Rational and semi-rational solution to the (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq-like equation. Physica Scripta, 98(5), 055203. https://doi.org/10.1088/1402-4896/acc0a7
Ma, H., Chen, X., & Deng, A. (2023). Novel Exact Solution for the Bidirectional Sixth-Order Sawada–Kotera Equation. Universe, 9(1), 55. https://doi.org/10.3390/universe9010055
Ma, H., Gao, Y., & Deng, A. (2023). Nonlinear superposition of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation. Nonlinear Dynamics, 111(1), 619–632. https://doi.org/10.1007/s11071-022-07827-3
Ma, H., Chen, X., & Deng, A. (2023). 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 Dynamics, 111(8), 7599–7617. https://doi.org/10.1007/s11071-022-08209-5
Ma, H., Mao, X., & Deng, A. (2023). Resonance solutions and hybrid solutions of an extended (2+1)-dimensional Kadomtsev–Petviashvili equation in fluid mechanics. Nonlinear Dynamics, 111(14), 13439–13455. https://doi.org/10.1007/s11071-023-08569-6
Ma, H., Mao, X., & Deng, A. (2023). Degenerate lump chain solutions and rouge wave solutions of the (4 + 1)-dimensional nonlinear evolution equation. Nonlinear Dynamics, 111(20), 19329–19346. https://doi.org/10.1007/s11071-023-08837-5
Ma, H., Mao, X., & Deng, A. (2023). Interaction solutions for the second extended (3+1)-dimensional Jimbo–Miwa equation. Chinese Physics B, 32(6), 060201. https://doi.org/10.1088/1674-1056/acb91c
Ma, H., Su, N., & Deng, A. (2023). Complexiton solutions, kink soliton and breather-wave solutions for the (2+1)-dimensional combined potential Kadomtsev-Petviashvili with B-type Kadomtsev-Petviashvili equation. Physica Scripta, 98(9), 095239. https://doi.org/10.1088/1402-4896/aceebf
Ma, H., Mao, X., & Deng, A. (2023). Interaction solutions for the (2+1)-dimensional extended Boiti-Leon-Manna-Pempinelli equation in incompressible fluid. Communications in Theoretical Physics, 75(8), 85001. https://doi.org/10.1088/1572-9494/acdfc3
Ma, H., Yue, S., & Deng, A. (2024). A new superposition between lump, breather and line waves of the (2+1)-dimensional generalized Korteweg–de Vries equation in fluid mechanics. International Journal of Modern Physics B, 38(03), 2450032. https://doi.org/10.1142/S0217979224500322
Ma, H., Yue, S., & Deng, A. (2023). A new superposition between lump, breather and line waves of the (2+1)-dimensional generalized Korteweg–de Vries equation in fluid mechanics. International Journal of Modern Physics B. https://doi.org/10.1142/S0217979224500322
Ma, H.-C., Qi, X., & Deng, A.-P. (2023). Different wave patterns for two-coupled Maccari’s system with complex structure via truncated Painlevé approach. Chinese Physics B, 32(12), 120503. https://doi.org/10.1088/1674-1056/acf497
Ma, H., Gao, Y., & Deng, A. (2023). Novel y-type and hybrid solutions for the (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani equation. Nonlinear Dynamics, 111(5), 4645–4656. https://doi.org/10.1007/s11071-022-08045-7
Ma, H., Gao, Y., & Deng, A. (2022). Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz-Kaup-Newell-Segure equation. Communications in Theoretical Physics, 74(11), 115003. https://doi.org/10.1088/1572-9494/ac633f
Ma, H., Yue, S., & Deng, A. (2022). Lump and interaction solutions for a (2+1)-dimensional combined pKP-BKP equation in fluids. Modern Physics Letters B, 36(13), 2250069. https://doi.org/10.1142/S0217984922500695
Ma, H.-C., Bai, Y.-X., & Deng, A.-P. (2022). General M-lump, high-order breather, and localized interaction solutions to (2+1)-dimensional generalized Bogoyavlensky-Konopelchenko equation. Frontiers of Mathematics in China, 17(5), 943–960. https://doi.org/10.1007/s11464-021-0918-5
Ma, H.-C., Gao, Y.-D., & Deng, A.-P. (2022). Solutions of novel soliton molecules and their interactions of (2+1)-dimensional potential Boiti–Leon–Manna–Pempinelli equation. Chinese Physics B, 31(7), 070201. https://doi.org/10.1088/1674-1056/ac4cc0
Ma, H., Gao, Y., & Deng, A. (2022). Fission and fusion solutions of the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation: case of fluid mechanics and plasma physics. Nonlinear Dynamics, 108(4), 4123–4137. https://doi.org/10.1007/s11071-022-07429-z
Ma, H.-C., Yue, S.-P., & Deng, A.-P. (2022). Nonlinear superposition between lump and other waves of the (2+1)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation in fluid dynamics. Nonlinear Dynamics, 109(3), 1969–1983. https://doi.org/10.1007/s11071-022-07508-1
Ma, H., Yue, S., & Deng, A. (2022). Resonance Y-shape solitons and mixed solutions for a (2+1)-dimensional generalized Caudrey–Dodd–Gibbon–Kotera–Sawada equation in fluid mechanics. Nonlinear Dynamics, 108(1), 505–519. https://doi.org/10.1007/s11071-022-07205-z
Ma, H., Yue, S., & Deng, A. (2022). D’Alembert wave, the Hirota conditions and soliton molecule of a new generalized KdV equation. Journal of Geometry and Physics, 172, 104413. https://doi.org/10.1016/j.geomphys.2021.104413
Ma, H.-C., Wang, Y., & Deng, A. (2022). Soliton molecules and asymmetric solitons of the extended Lax equation via velocity resonance. Chinese Physics B, 31(1), 010201. https://doi.org/10.1088/1674-1056/ac0907
Ma, H., Huang, H., & Deng, A. (2022). Soliton molecules, asymmetric solitons and hybrid solutions for KdV–CDG equation. Partial Differential Equations in Applied Mathematics, 5, 100214. https://doi.org/10.1016/j.padiff.2021.100214
Ma, H.-C., Wang, Y.-X., & Deng, A.-P. (2021). Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation. Journal of Geometry and Physics, 168, 104309. https://doi.org/10.1016/j.geomphys.2021.104309
Ma, H.-C., Cheng, Q.-X., & Deng, A.-P. (2021). Soliton molecules, asymmetric soliton and some novel hybrid solutions for the isospectral BKP equation. Modern Physics Letters B, 35(10), 2150174. https://doi.org/10.1142/S0217984921501748
Ma, H.-C., Huang, H., & Deng, A. (2021). Soliton molecules and some novel hybrid solutions for (3+1)-dimensional B-type Kadomtsev–Petviashvili equation. Modern Physics Letters B, 35(23), 2150388. https://doi.org/10.1142/S0217984921503887
Ma, H.-C., Huang, H., & Deng, A. (2021). Soliton molecules and some interaction solutions for the (3+1)-dimensional Jimbo-Miwa equation. Journal of Geometry and Physics, 170, 104362. https://doi.org/10.1016/j.geomphys.2021.104362
Ma, H.-C., Gao, Y.-D., & Deng, A.-P. (2021). D’Alembert wave and soliton molecule of the generalized Nizhnik–Novikov–Veselov equation. Modern Physics Letters B, 35(31), 2150482. https://doi.org/10.1142/S0217984921504820
Ma, H.-C., Huang, H.-Y., & Deng, A.-P. (2021). Solitons and Soliton Molecules in two Nonlocal Alice-Bob Fifth-Order KdV Systems. International Journal of Theoretical Physics, 60, 3051–3062. https://doi.org/10.1007/s10773-021-04893-y
Ma, H.-C., Wu, H.-F., Ma, W.-X., & Deng, A.-P. (2021). Localized interaction solutions of the (2+1)-dimensional Ito Equation. Optical and Quantum Electronics, 53(6), 303. https://doi.org/10.1007/s11082-021-02909-9
Ma, H.-C., Wu, H.-F., Ma, W., & Deng, A.-P. (2021). Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation. East Asian Journal on Applied Mathematics, 11(4), 674–685. https://doi.org/10.4208/eajam.090920.180121
Ma, H.-C., Cheng, Q.-X., & Deng, A.-P. (2021). Solitons, Breathers, and Lump Solutions to the (2+1)-Dimensional Generalized Calogero–Bogoyavlenskii–Schiff Equation. Complexity, 2021, 7264345. https://doi.org/10.1155/2021/7264345
Ma, H.-C., Cheng, Q.-X., & Deng, A.-P. (2021). N-soliton solutions and localized wave interaction solutions of a (3+1)-dimensional potential-Yu–Toda–Sasa–Fukuyamaf equation. Modern Physics Letters B, 35(10), 2150277. https://doi.org/10.1142/S0217984921502778
Ma, H.-C., Cheng, Q.-X., & Deng, A.-P. (2020). Soliton molecules and some novel hybrid solutions for the (2+1)-dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation. Communications in Theoretical Physics, 72(9), 095001. https://doi.org/10.1088/1572-9494/aba23f
Ma, H.-C., Zhang, C.-Y., & Deng, A.-P. (2020). Breather Wave Solutions and Interaction Solutions for Two Mixed Calogero-Bogoyavlenskii-Schiff and Bogoyavlensky-Konopelchenko Equations. Advances in Mathematical Physics, 2020, 1458280. https://doi.org/10.1155/2020/1458280
Ma, H.-C., Bai, Y.-X., & Deng, A.-P. (2020). Multiple Lump Solutions of the (4+1)-Dimensional Fokas Equation. Advances in Mathematical Physics, 2020, 3407676. https://doi.org/10.1155/2020/3407676
Ma, H.-C., Zhang, C.-Y., & Deng, A.-P. (2020). New Periodic Wave, Cross-Kink Wave, Breather, and the Interaction Phenomenon for the (2+1)-Dimensional Sharmo–Tasso–Olver Equation. Complexity, 2020, 4270906. https://doi.org/10.1155/2020/4270906
Ma, H.-C., Bai, Y.-X., & Deng, A.-P. (2020). Multiple lump solutions of the (2+1)‐dimensional Konopelchenko–Dubrovsky equation. Mathematical Methods in the Applied Sciences, 43(12), 7135–7142. https://doi.org/10.1002/mma.6442
Ma, H.-C., Wu, H.-F., & Deng, A.-P. (2020). Novel Interaction Phenomena of Localised Waves in the (2+1)-Dimensional HSI Equation. East Asian Journal on Applied Mathematics, 10(3), 485–498. https://doi.org/10.4208/eajam.090819.071219
Ma, H.-C. (2020). New methods for finding symmetry groups of nonlinear systems. Journal of Ningbo University, 33(5), 32–38.
Ma, H.-C., Meng, X.-M., Wu, H.-F., & Deng, A.-P. (2019). A class of lump solutions for Ito equation. Thermal Science, 23(4), 2205–2210. https://doi.org/10.2298/TSCI1904205M
Ma, H.-C., Meng, X.-M., Wu, H.-F., & Deng, A.-P. (2019). Exact solutions of the space-time fractional equal width equation. Thermal Science, 23(4), 2307–2313. https://doi.org/10.2298/TSCI1904307M
Ma, H.-C., Ni, K., & Deng, A. (2017). Lump solutions to the (2+1)-dimensional shallow water wave equation. Thermal Science, 21(4), 1765–1769. https://doi.org/10.2298/TSCI160816066M
Ma, H.-C., & Deng, A.-P. (2016). Lump Solution of (2+1)-Dimensional Boussinesq Equation. Communications in Theoretical Physics, 65(5), 546–552. https://doi.org/10.1088/0253-6102/65/5/546/meta
Ma, H.-C., Ruan, G., Ni, K., & Deng, A. (2016). Rational solutions to an Caudrey-Dodd-Gibbon-Sawada-Kotera-like equation. Thermal Science, 20(3), 871–874. https://doi.org/10.2298/TSCI2003871M
Ma, H.-C., Ni, K., Ruan, G., & Deng, A. (2016). Rational solution to a shallow water wave-like equation. Thermal Science, 20(3), 875–880. https://doi.org/10.2298/TSCI2003875M
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. Thermal Science, 19(4), 1183–1187. https://doi.org/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. Thermal Science, 19(4), 1239–1244. https://doi.org/10.2298/TSCI1504239M
Ma, H.-C., & Bai, Y. (2014). New Solutions of the Schwarz-Korteweg-de Vries Equation in 2+1 Dimensions with the Gauge Transformation. International Journal of Nonlinear Science, 17(1), 41–46. http://www.internonlinearscience.org/upload/papers/IJNS-Vol17-No1-Paper-6-New solution.pdf
Ma, H.-C., Deng, A., & Yu, Y. (2014). Lie Symmetry Group of (2+1)-dimensional Jaulent-Miodek Equation. Thermal Science, 18(5), 1547–1552. http://thermalscience.vinca.rs/pdfs/papers-2014/TSCI1405547M.pdf
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. Communications in Theoretical Physics, 59(2), 141–145. http://iopscience.iop.org/article/10.1088/0253-6102/59/2/03/meta;jsessionid=458D7A3A8A6846A250B278FEE82A6454.c1
Ma, H.-C., Bai, Y., & Deng, A.-P. (2013). Exact three-wave solutions for the (3+1) -dimensional Boiti-Leon-Manna-Pempinelli equation. Advances in Difference Equations, 2013(1), 321. https://doi.org/10.1186/1687-1847-2013-321
Ma, H.-C., Qin, Z., & Deng, A.-P. (2013). Lie symmetry and Exact solution of (2+1)-dimensional generalized KP equation with variable coefficients. Thermal Science, 17(5), 1490–1493. https://doi.org/10.2298/TSCI1305490
Ma, H.-C., & Bai, Y.-B. (2013). Wronskian determinant solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Journal of Applied Mathematics and Physics, 1(5), 18–24. https://doi.org/10.4236/jamp.2013.15004
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 Mathematicae Applicatae Sinica, 28(2), 409–415. https://doi.org/10.1007/s10255-012-0153-7
Ma, H.-C., Deng, A., & Wang, Y. (2011). Exact solution of a KdV equation with variable coefficients. Computers & Mathematics with Applications, 61(8), 2278–2280. https://doi.org/10.1016/j.camwa.2010.09.048
Yu, Y., & Ma, H.-C. (2010). Exact solutions of the combined KdV–Burgers equation with variable coefficients. Applied Mathematics and Computation, 215(10), 3534–3540. https://doi.org/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. Applied Mathematics and Computation, 217(4), 1391–1397. https://doi.org/10.1016/j.amc.2009.05.035
Ma, H.-C., Yu, Y.-D., & Ge, D.-J. (2009). The auxiliary equation method for solving the Zakharov–Kuznetsov (ZK) equation. Computers & Mathematics with Applications, 58(11–12), 2523–2527. https://doi.org/10.1016/j.camwa.2009.03.036
Ma, H.-C., Yu, Y.-D., & Ge, D.-J. (2009). New Exact Travelling Wave Solutions for Zakharov–Kuznetsov Equation. Communications in Theoretical Physics, 51(4), 609–612. https://doi.org/10.1088/0253-6102/51/4/07
Ma, H.-C., & Deng, A. (2009). New Exact Complex Solutions for Third-order Isospectral AKNS and the MBBM Equations. International Journal of Nonlinear Sciences & Numerical Simulation, 10(2), 215–219. http://www.degruyter.com/view/j/ijnsns.2009.10.2/ijnsns.2009.10.2.215/ijnsns.2009.10.2.215.xml
Ma, H.-C., Wang, Y., & Qin, Z. (2009). New exact complex traveling wave solutions for (2+1)-dimensional BKP equation. Applied Mathematics and Computation, 208(2), 564–568. https://doi.org/10.1016/j.amc.2008.12.032
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. Chinese Physics Letters, 26(4), 040201. http://www.cpsjournals.cn/cpl/CN/Y2009/V26/I4/040201
Ma, H.-C., Zhang, Y.-L., & Deng, A.-P. (2008). Auxiliary Equation Method and New Exact Solutions of BKP Equation. Quarterly Journal Of Mathematics, 23(2), 159–164.
Ma, H.-C., Yu, Y.-D., & Ge, D.-J. (2008). New exact traveling wave solutions for the modified form of Degasperis–Procesi equation. Applied Mathematics and Computation, 203(2), 792–798. https://doi.org/10.1016/j.amc.2008.05.088
Ma, H.-C., Lou, S.-Y., & Deng, A.-P. (2008). Lie Symmetry Groups of (2+1)-Dimensional BKP Equation and Its New Solutions. Communications in Theoretical Physics, 50(3), 685–688.
Ma, H.-C., Ge, D.-J., & Yu, Y. (2008). New periodic wave solutions, localized excitations and their interaction for (2+1)-dimensional Burgers equation. Chinese Physics B, 17(12), 4344–4353. http://www.jourlib.org/paper/1541025#.VgNEErTqtPI
Ma, H.-C., Lou, S., & Deng, A. (2008). Lie symmetry groups of high dimensional non-integral nonlinear systems. Journal of Physics: Conference Series, 96, 012166. https://doi.org/10.1088/1742-6596/96/1/012166
Ma, H.-C., & Lou, S. (2006). Non-Lie symmetry groups of (2+1)-dimensional nonlinear systems. Communications in Theoretical Physics, 46(6), 1005–1010.
国际交流与合作：
2014年2月-2015年2，访问美国University of South Florida （南弗罗里达大学）
联系电话： 02167798685 E-MAIL：hongcaima@dhu.edu.cn
