研究方向：

非线性可积方程，离散可积系统，孤立子；反谱变换方法，Riemann-Hilbert问题以及Dbar问题及其应用。

个人简介：

教育经历：

1996-2000，郑州大学数学系本科毕业，获学士学位；

2000-2003，郑州大学数学系硕士研究生毕业，获硕士学位；

2003-2006，郑州大学数学系博士研究生毕业，获博士学位；

工作经历：

2007.07-2008.11，讲师；

2008.12-2014.12，副教授；

2015.01--         教授。

2018.08-2019.08，美国德克萨斯大学大河谷分校，访问学者。

目前担任《数学评论》评论员，J. Nonlinear Math. Phys. 期刊的编辑。

获奖情况：

2010年，获郑州大学中青年骨干教师。

2013年，获河南省高等学校青年骨干教师。

2010年，获河南省第十届自然科学优秀学术论文一等奖1篇，二等奖2篇。

2013年，获第二届自然科学学术奖---优秀学术论文二等奖1篇。

讲授课程：

先后承担本科生的《微积分》，《高等数学》，《医用高等数学》，《工程数学》等课程。研究生的《数学物理方程》，《谱理论方法及应用》，《可积方程初边值问题》等课程。

科研项目：

2011-2013年主持国家自然科学基金项目，编号11001250;

2015-2018主持国家自然科学基金项目，编号11471295。

代表性论文：

[1] Chen J.B., Zhu J.Y., Geng X.G., Darboux Transformations to (2+1)-Dimensional Lattice Systems, Chin. Phys.Lett. 22 (2005) 1825-1828.

[2] Zhu J.Y. and Geng X.G., Miura Transformation for the TD Hierarchy, Chin. Phys.Lett. 23 (2006) 1-3.

[3] Zhu J.Y. and Geng X.G., The Generalized version of Dressing Method with Applications to AKNS Equations, J. Nonlinear Math. Phys. 13 (2006) 81-89. 

[4] Zhu J.Y. and Geng X.G., Darboux Transformation for Tzitzeica Equation, Commun. Theor. Phys. 45 (2006) 577-580.

[5] Zhu J.Y. and Geng X.G., Solution of Gauss-Codazzi Equation with applications in the Tzitzeica equation, Chin. Phys.Lett. 23 (2006) 2885-2887

[6] Zhu J.Y., Geng X.G., The Generaliazed of Dressing method with Applications to Variable-coefficient coupled KP Equations, Chaos Soliton Fract., 31 (2007) 1143-1148.

[7] Zhu J.Y. and Geng X.G.,  A New Integrable Symplectic Map of Neumann Type, Commun. Theor. Phys. ,47(2007)577-581

[8] Geng X.G, Dai, H. H., Zhu, J.Y.，Decomposition of the Discrete Ablowitz-Ladik Hierarchy，Stud. Appl. Math., 118 (2007) 281-312.

[9] Zhu J.Y. Geng X.G., Algebro-geometric constructions of the (2+1)-dimensional differential-difference equation, Phys. Lett. A, 368 (2007) 464-469. 

[10] Zhu J.Y., Geng X.G.,  A New Integrable Symplectic Map of Bagmann Type, Acta Phys. Pol. B, 39 (2008) 1783-1794.

[11] Lou Y. Zhu J.Y., Coupled NLS type equations and the Miura transformation, Chin. Phys. Lett. 28 (2011) 090202.

[12]Zhu J.Y. Li Z., Dressing method for a generalized focusing NLS equation via local Riemann–Hilbert problem. Acta Phys. Pol. B, 42 (2011) 1893-1904.

[13] Shan X.Y., Zhu J.Y., The Mikhauilov–Novikov–Wang Hierarchy and Its Hamiltonian Structures, Acta Phys. Pol. B, 43 (2012) 1953-1964.

[14] Zhu J.Y. Geng X.G., A hierarchy of coupled evolution equations with self-consistent sources and the dressing method, J. Phys. A: Math. Theor., 46 (2013) 035202.

[15] Zhu J.Y. Geng X.G., The Dbar-Dressing Method for the Sasa-Satsuma Equation with Self-Consistent Sources, Chin. Phys. Lett.，30 (2013) 080204.

[16]Zhu J.Y., Zhou D.W. Yang J.J., A New Solution to the Hirota– Satsuma Coupled KdV Equations by the Dressing Method, Commu. Theor. Phys., 60 (2013) 266-268.

[17] Zhu J.Y.Geng X.G.，The AB equations and the Dbar-dressing method in semi-characteristic coordinates, Math. Phys. Anal. Geom., 17 (2014) 49-65.

[18] Zhu J.Y., Zhou D.W., Geng X.G., Dbar-problem and Cauchy matrix for the mKdV equation with self-consistent sources, Phys. Scripta, 89 (2014) 065201

[19] Zhu Junyi and Geng Xianguo, The Dbar-dressing method and a coupled dispersionless equation, Commu. Appl. Math. Comp. 28 (2014)140-149.

[20] Kuang Y.H., Zhu J.Y., A three-wave interaction model with self-consistent sources: the Dbar-dressing method and solutions, J. Math. Anal. Appl., 426 (2015) 783-793.

[21]JZhu J.Y., Kuang Y.H., Cusp solitons to the long-short waves equation and the Dbar-dressing method method, Rep. Math. Phys., 75 (2015) 199-211.

[22]Geng X.G., Liu H., Zhu J.Y., Initial-Boundary Value Problems for the Coupled Nonlinear Schrodinger Equation on the Half-Line, Stud. Appl. Math., 135 (2015) 310-346.

[23] Kuang Yonghui，Zhu Junyi, The higher-order soliton solutions for the coupled

  Sasa–Satsuma system via the Dbar-dressing method, Appl. Math. Lett., 66 (2017) 47–53.

[24]Nie H., Zhu J.Y. Geng X.G., Trace formula and new form of N-soliton to Gerdjikov-Ivanov equation, Anal. Math. Phys., 8 (2018) 415-426.

[25]Zhu J.Y., Wang L.L., Kuznetsov-Ma solution and Akhmediev breather for TD equation, Commun. Nonlinear Sci., 67 (2019) 555-567.

[26] Zhu J.Y., Wang L.L. and Geng X.G., Riemann-Hilbert approach to the TD equation with nonzero boundary condition, Front. Math. China, 13(2018) 1245-1265.

[27] Zhu J.Y., Wang L.L., Qiao Z.J., Inverse spectral transform for the Ragnisco-Tu equation with Heaviside initial condition, J. Math. Anal. Appl., 474(2019)452-466. 

[28] Xiao Z.X., Li K.，Zhu J.Y., Multiple-pole solutions to a semi-discrete modified Korteweg-de Vries equation. Adv. Math. Phys., (2019) 5468142.

[29] Zhu J.Y., Ma X.X., Qiao Z.J., Spectral analysis of generalized Volterra equation, Front. Math. China, 14 (2019) 1063-1075.

[30] Zhu J.Y., Zhou S.S., Qiao Z.J., Forced (2+1)-dimensional discrete three-wave equation, Commun. Theor. Phys.，72 (2020) 015004.

[31] Wang X.R., Zhu J.Y., Broer-Kaup system with corrections via inverse scattering transform, Adv. Math. Phys., (2020) 7859897

[32] Wang L.L., Song C.Q. , Zhu J.Y.,Two-component integrable generalized Ragnisco-Tu equation without solitons, Theor. Math. Phys., 205 (2020) 1303.

[33] Zhen Y.P., Wang X.D. , Zhu .Y., Toda lattice with corrections via inverse scattering transform, Mod. Phys. Lett. B, 35 (4) (2021) 2150084.

[34]Wang X.R., Zhu J.Y. , Qiao Z.J., New solutions to the differential-difference KP equation, Appl. Math. Lett., 113 (2021) 106836.

[35] Zhu J.Y. Wang X.R., Broer-Kaup system revisit: Inelastic interaction and

 blowup solutions, J. Math. Anal. Appl., 496 (2021) 124794.

[36] Wang X.R., Zhu J.Y., Dbar-approach to coupled nonlocal NLS equation and

 general nonlocal Reduction, Stud. Appl. Math., 148 (2022) 433-456.

[37]Junyi Zhu, Kaiwen Shao and Xueru Wang,  Extended KP equation and solutions with special properties, Wave Motion, 115 (2022) 103051.

[38] Xu Y.D., Zhu J.Y., A new coupled differential–difference KP type system, Chaos Soliton. Fract. 167 (2023) 113107.

[39] Zhu J.Y., Shao K.W., Qiao Z.J., Dbar-approach for an extended coupled nonlocal dispersionless system, J. Nonlinear Math. Phys., (2023)

[40]Ma X.X., Zhu J.Y., Riemann-Hilbert problem and N-soliton solutions for the n-component derivative nonlinear Schrödinger equations, Commu. Nonlinear Sci., 120 (2023) 107147

[41] Zhu J.Y., Jiang X.L. , Wang X.R., Nonlinear Schrodinger equation with nonzero boundary conditions revisited: Dbar approach, Anal. Math. Phys., 13 (2023) 51.

[42]Ma X.X., Zhu J.Y., Inverse scattering transform for the two-component Gerdjikov-Ivanov equation with nonzero boundary conditions: dark-dark solitons，Stud. Appl. Math.，(2023).

教学成果：

2021年获林枫教育奖。