【个人简介】

毛辉，男，湖南郴州人，中国矿业大学(北京)应用数学博士，南宁师范大学数学与统计学院副教授，硕士生导师。

【电子邮箱】 maohui2806@163.com

【研究方向】可积系统及其应用

【主持项目】

(1) 国家自然科学基金地区基金项目:多分量Camassa-Holm型方程的Bäcklund变换及其应用(2023/1-2026/12).

(2) 国家自然科学基金青年基金项目：超对称可积系统的Bäcklund-Darboux变换及其应用(2020/1-2022/12).

(3) 广西自然科学基金面上项目，两分量Camassa-Holm型方程的贝克隆变换及其应用(2022/4-2025/3).

(4) 广西自然科学基金青年基金项目:超对称可积系统的达布变换及其应用(2019/3-2022/2).

(5) 广西高校中青年教师科研基础能力提升项目:可积系统的贝克隆变换与应用(2019/1-2020/12).

【近五年发表的主要论文】通讯作者*

(1) Mao H, Liu Q P, The short pulse equation: Bäcklund transformations and applications. Studiesin AppliedMathematics, 2020,145:791-811.

(2) Mao H, Miao Yuanyuan. Bäcklund transformation and nonlinear superposition formula for the two-component short pulse equation. J Phys. A Math. Theor. 2022; 55: 475207.

(3) Mao H, Liu Q P. Bäcklund-Darboux transformations and discretizations of N=2 a=-2 supersymmetric KdV equation. Physics Letters A, 2018, 382: 253-258.

(4) Mao H, Liu Q P, Xue L L. Supersymmetric Sawada-Kotera equation: Bäcklund-Darboux transformations and applications. Journal of Nonlinear Mathematical Physics, 2018, 25(3): 375-386.

(5) Mao H, Lv S Q. On type-II Bäcklund transformation for the MKdV hierarchy. Z. Naturforsch. A, 2017, 72(4): 291-293.

(6) Mao H,Wang G H. Bäcklund transformations for the Degasperis-Procesi equation. Theoretical and Mathematical Physics, 2020, 203(3): 747-760.

(7) Min Xue, Mao H*. Bäcklund transformations and applications for the Vakhnenko equation. Theoretical and Mathematical Physics, 2022, 210(2):172- 183.

(8) Mao H. Obtaining multisoliton solutions of the (2+1)-dimensional Camassa-Holm system usingDarboux transformations. Theoretical and Mathematical Physics, 2020, 205(3): 1638-1651.

(9) Mao H. Novikov equation: Bäcklund transformation and applications. Theoretical and Mathematical Physics, 2021,206(2):163-173.

(10) Mao H, Kuang Y H. Solitons for the Modified Camassa-Holm Equation and their Interactions Via Dressing Method. Mathematical Physics, Analysis and Geometry, 2021, 24(32):1-17.

(11) Mao H, Mo C J and Pang W C. Darboux transformation for the defocusing modified complex short pulse equation and its multi-dark-soliton solutions. Theoretical and Mathematical Physics, 2022, 212(3):1211–1221.

(12) Min Xue, Liu Q P, Mao H*. Bäcklund transformations for the modified short pulse equation and complex modified short pulse equation. Eur. Phys. J. Plus, 2022,137 :500.

(13) 毛辉. 两个一般化短脉冲方程的Bäcklund变换及其应用. 应用数学学报, 2021, 44(3):340-354.

(14) 毛辉，张孟霞. 两个(2+1)-维超对称系统的Bäcklund变换和Lax对. 应用数学学报. 2019, 42(5):712-720.

(15) Wang G H, Liu Q P, Mao H.The modified Camassa-Holm equation: Bäcklund transformations and nonlinear superposition formula. J. Phys. A: Math. Theor. 2020;53:294003.