目前從事孤子理論與可積系統、非線性發展方程與符號計算的研究工作, 在國內外核心期刊上發表二十多篇SCI、EI等科研論文, 其中14 篇發表在中國高等科學技術中心分類的“世界最高水平科學雜誌”中的“The European Physical Journal B”、“Physics Letters A”和“Journal of Physics A”等SCI核心期刊.
代表文章:
[1] Guang-mei Wei,Yi-tian Gao,Wei Hu. Painlevé analysis,auto-Bäcklund transformation and new analytic solutions for a generalized variable-coefficient Korteweg-de Vries equation. European Physical Journal B, 2006, 53: 343-350.
[2] Guang-mei Wei, Yi-tian Gaoand Xiao-ge Xu. Painlevé analysis and transformations for a generalized two-dimensional variable-coefficient Burgers model from fluid mechanics, acoustics and cosmic-ray astrophysics. Nuovo Cimento B, 2006, 121: 327-342.
[3] Bo Tian, Guang-Mei Wei, Chun-Yi Zhang, Wen-Rui Shan, Yi-Tian Gao, Transformations for a Generalized Variable-coefficient Korteweg-de Vries Model from Blood Vessels, Bose-Einstein Condensates, Rods and Positons with Symbolic Computation, Phys. Lett. A, 2006, 356(1), 8-16.
[4] Guang-mei Wei, Yi-tian Gao. Painlevé property and new analytic solutions for a variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation. Chinese Physics Letters, 2008, 25: 1599-1602.
[5] Xiao-nan Li, Guang-mei Wei, Yue-qian Liang. Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev–Petviashvili equation with symbolic computation. Applied Mathematics and Computation, 2010, 216: 3568–3577.
[6] Yue-qian Liang, Guang-mei Wei, Xiao-nan Li. Painlevé integrability, similarity reductions, new soliton and soliton-like similarity solutions for the (2+1)-dimensional BKP equation. Nonlinear Dynamics, 2010, 62: 195–202.
[7] Yue-qian Liang, Guang-mei Wei, Xiao-nan Li. New variable separation solutions and nonlinear phenomena for the (2+1)-dimensional modified Korteweg–de Vries equation,Communications in Nonlinear Science and Numerical Simulation, 2011, 16: 603–609.
[8] Yue-qian Liang, Guang-mei Wei, Xiao-nan Li. Transformations and multi-solitonic solutions for a generalized variable-coefficient Kadomtsev–Petviashvili equation, Computers and Mathematics with Applications, 2011, 61: 3268–3277.