
【個人簡介】
毛輝,男,湖南郴州人,中國礦業(yè)大學(北京)應用數(shù)學博士,南寧師范大學數(shù)學與統(tǒng)計學院副教授,碩士生導師。
【電子郵箱】 maohui2806@163.com
【研究方向】可積系統(tǒng)及其應用
【主持項目】
(1) 國家自然科學基金地區(qū)基金項目:多分量Camassa-Holm型方程的B?cklund變換及其應用(2023/1-2026/12).
(2) 國家自然科學基金青年基金項目:超對稱可積系統(tǒng)的B?cklund-Darboux變換及其應用(2020/1-2022/12).
(3) 廣西自然科學基金面上項目,兩分量Camassa-Holm型方程的貝克隆變換及其應用(2022/4-2025/3).
(4) 廣西自然科學基金青年基金項目:超對稱可積系統(tǒng)的達布變換及其應用(2019/3-2022/2).
(5) 廣西高校中青年教師科研基礎(chǔ)能力提升項目:可積系統(tǒng)的貝克隆變換與應用(2019/1-2020/12).
【近五年發(fā)表的主要論文】通訊作者*
(1) Mao H, Liu Q P, The short pulse equation: B?cklund transformations and applications. Studiesin AppliedMathematics, 2020,145:791-811.
(2) Mao H, Miao Yuanyuan. B?cklund 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. B?cklund-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: B?cklund-Darboux transformations and applications. Journal of Nonlinear Mathematical Physics, 2018, 25(3): 375-386.
(5) Mao H, Lv S Q. On type-II B?cklund transformation for the MKdV hierarchy. Z. Naturforsch. A, 2017, 72(4): 291-293.
(6) Mao H,Wang G H. B?cklund transformations for the Degasperis-Procesi equation. Theoretical and Mathematical Physics, 2020, 203(3): 747-760.
(7) Min Xue, Mao H*. B?cklund 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: B?cklund 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*. B?cklund transformations for the modified short pulse equation and complex modified short pulse equation. Eur. Phys. J. Plus, 2022,137 :500.
(13) 毛輝. 兩個一般化短脈沖方程的B?cklund變換及其應用. 應用數(shù)學學報, 2021, 44(3):340-354.
(14) 毛輝,張孟霞. 兩個(2+1)-維超對稱系統(tǒng)的B?cklund變換和Lax對. 應用數(shù)學學報. 2019, 42(5):712-720.
(15) Wang G H, Liu Q P, Mao H.The modified Camassa-Holm equation: B?cklund transformations and nonlinear superposition formula. J. Phys. A: Math. Theor. 2020;53:294003.