Research Areas

Nonlinear Mathematical Equation

Symbolic Calculation

Nonlinear Wave

Research Group Introduction

Xu Tao is mainly engaged in the research of nonlinear mathematical equations, symbolic computation and nonlinear wave problems. He has published papers as the first author and corresponding author in SCI Journal (Core Edition)

Publications

[1] Tao Xu, Sha Lan, Min Li, Ling-Ling Li, Guo-Wei Zhang, “Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation”, Physica D, https://doi.org/10.1016/ j.physd.2018.11.001.

[2] Tao Xu, Min Li, Yehui Huang, Yang Chen, Chen Yu, “Nonsingular localized wave solutions for the nonlocal Davey-Stewartson I equation with zero background”, Modern Physics Letters B 31(35), 1750338:1-11, 2017.

[3] Tao Xu, Changjing Liu, Fenghua Qi, Chunxia Li, Dexin Meng, "new double Wronskian solutions of the Whitham broer Kaup system: asymmetric analysis and recurrent solution interactions", Journal of nonlinear mathematical physics 24 (1), 116-141, 2017. (SCI included)

[4] Tao Xu, Hengji Li, Hongjun Zhang, Min Li, Sha LAN, "Darboux transformation and analytical solutions of the discrete Pt symmetric nonlinear Schr ü dinger equation", Applied Mathematics Letters 63, 88-94, 2017

[5] Min Li, Tao Xu, Dexin Meng, "rational solons in the parity time symmetric nonlinear Schr ü dinger model", Journal of the Physical Society of Japan 85 (12), 124001, 2016. (SCI included)

[6] Min Li, Huang Liang, Tao Xu, Changjing Liu, "vector rogue waves in the mixed coupled nonlinear Schr ü dinger equations", European Physical Journal plus 131 (4), 100, 2016. (SCI included)

[7] Min Li, Tao Xu, "dark and anti dark solton interactions in the nonlocal nonlinear Schr ü dinger equation with the self induced parity time symmetric potential" Physical Review E 91 (3): 033202, 2015. (SCI included)

[8] Tao Xu, Min Li, Lu Li, "anti dark and Mexican Hat solitons in the SASA Satsuma equation on the continuous wave background", europhysics letters 109 (3): 30006, 2015

[9] Min Li, Tao Xu, Lei Wang, "dynamic behaviors and solution solutions of a generalized higher order nonlinear Schr ü dinger equation in optical fibers", nonlinear dynamics 80 (3): 1451-1461, 2015