Faculty Members
Education
l Ph.D. of Technology in Computer Software and Theory from Beijing University of Posts and Telecommunications
l Bachelor of Science in Mathematics and Applied Mathematics from Beijing University of Aeronautics and Astronautics
Research (Areas of Research Focus)
Integrable Systems and Soliton Theory:
l Infinite-Dimensional Hamitonian Structures
l Stability of Soliton
l Optical Solitons and Optical Rogue Waves
l Symbolic Computation
Teaching
Advanced Mathematics; Mathematical Physics Equations; Numerical Analysis; Complex Variable Functions
Previous Teaching Experience (Previous Relevant Working Experience)
09/2011-Present, College of Science, China University of Petroleum (Beijing)
Contact
Email: xutao@cup.edu.cn TEL: 86-10-89734591 Fax: 86-10-89733159
Address of Office: Room 304, Lixueyuan Building A, Campus of China University of Petroleum (Beijing)
Publications
[1] Tao Xu, Dan-Hua Wang, Min Li, Huan Liang, “Soliton and breather solutions of the Sasa-Satsuma equation via the Darboux transformation”, Physica Scripta 89(7), 075207: 1-7, 2014.
[2] Tao Xu, Fu-Wei Sun, Yi Zhang, Juan Li, “Multi-component Wronskian solution to the Kadomtsev-Petviashvili equation”, Computational Mathematics and Mathematical Physics 54(1), 97-113, 2014.
[3] Tao Xu, Xiang-Min Xu, “Single- and double-hump femtosecond vector solitons in the coupled Sasa-Satsuma system”, Physical Review E 87, 032913:1-6, 2013.
[4] Tao Xu, Yi Zhang, “Fully resonant soliton interactions in the Whitham- Broer-Kaup system based on the double Wronskian solutions”, Nonlinear Dynamics 73(1/2), 485-498, 2013.
[5] Tao Xu and Xiang-Min Xu, “On the N-th iterated Darboux transformation and soliton solutions of a coherently-coupled nonlinear Schrödinger system”, Zeitschrift fur Naturforschung A 68, 261-271, 2013.
[6] Tao Xu, Bo Tian and Feng-Hua Qi, “Bright N-soliton solution to the vector Hirota equation from nonlinear optics with symbolic computation”, Zeitschrift fur Natur-forschung A 67, 39-49, 2012.
[7] Tao Xu, Bo Tian, Yu-Shan Xue and Feng-Hua Qi, “Direct analysis of bright soliton collisions in the focusing vector nonlinear Schrödinger equation”, Europhysics Letters 92, 50002:1-6, 2010.
[8] Tao Xu and Bo Tian, “Bright N-soliton solutions in terms of the triple Wronskian for the coupled nonlinear Schrödinger equations in optical fibers”, Journal of Physics A: Mathematical and Theoretical 43, 245205:1-18, 2010.
[9] Tao Xu and Bo Tian, “An extension of the Wronskian technique for the multicomponent Wronskian solution to the vector nonlinear Schrödinger equation”, Journal of Mathematical Physics 51, 033504:1-21, 2010.
[10] Tao Xu, Bo Tian, Hai-Qiang Zhang and Juan Li, “Integrable decompositions for the (2+1)-dimensional Gardner equation”, Zeitschrift fur Angewandte Mathematik und Physik 61, 293-308, 2010.
[11] Tao Xu, Bo Tian, Cheng Zhang, Xiang-Hua Meng and Xing L¨u, “Alfvén solitons in the coupled derivative nonlinear Schrödinger system with symbolic computation”, Journal of Physics A: Mathematical and Theoretical 42, 415201: 1-14, 2009.
[12] Tao Xu, Bo Tian, Li-Li Li, Xing L¨u and Cheng Zhang, “Dynamics of Alfvén solitons in inhomogeneous plasmas”, Physics of Plasmas 15, 102307:1-6, 2008.
[13] Tao Xu, Juan Li, Hai-Qiang Zhang, Ya-Xing Zhang, Wei Hu, Yi-Tian Gao and Bo Tian, “Integrable aspects and applications of a generalized inhomogeneous N-coupled nonlinear Schrödinger system in plasmas and optical fibers via symbolic computation”, Physics Letters A 372, 1990-2001, 2008.
[14] Tao Xu, Hai-Qiang Zhang, Ya-Xing Zhang, Juan Li, Qian Feng and Bo Tian, “Two types of generalized integrable decompositions and new solitary-wave solutions for the modified Kadomtsev-Petviashvili equation with symbolic computation”, Journal of Mathematical Physics 49, 013501:1-19, 2008.
[15] Tao Xu, Juan Li, Hai-Qiang Zhang, Ya-Xing Zhang, Zhen-Zhi Yao and Bo Tian, “New extension of the tanh-function method and application to the Whitham-Broer-Kaup shallow water model with symbolic computation”, Physics Letters A 369, 458-463, 2007.
[16] Tao Xu, Chun-Yi Zhang, Guang-Mei Wei, Juan Li, Xiang-Hua Meng and Bo Tian, “Symbolic-computation construction of transformations for a more generalized nonlinear Schrödinger equation with applications in inhomogeneous plasmas, optical fibers, viscous fluids and Bose-Einstein condensates”, The European Physical Journal B 55, 323-332, 2007.
[17] Tao Xu, Chun-Yi Zhang, Juan Li, Xiang-Hua Meng, Hong-Wu Zhu and Bo Tian, “Symbolic computation on generalized Hopf-Cole transformation for a forced Burgers model with variable coefficients from fluid dynamics”, Wave Motion 44, 262-270, 2007.
[18] Tao Xu, Chun-Yi Zhang, Juan Li, Hai-Qiang Zhang, Li-Li Li and Bo Tian, “Inelastic interaction and non-traveling-wave effects for two multi-dimensional Burgers models from fluid dynamics and astrophysics with symbolic computation”, Zeitschrift fur Naturforschung A (Physical Sciences) 61, 652-660, 2006.