Haitao Xu

Professors:Haitao Xu

Name:Haitao Xu
Title:Associate Professor
Educational background:
2011 University of Science and Technology of China, B.S. in Mathematics
2016 University of Massachusetts Amherst, Ph.D. in Mathematics
Work experience:
2016-2017 Postdoctoral fellow, Institute for Mathematics and its Applications
Research fields:
Nonlinear Waves, Nonlinear dynamics in PDEs and lattice Dynamical Systems,
Numerical Analysis, Mathematical Physics
Scientific achievements:
Recent selected publications:
1. Generalized Dimers and their Stokes-variable Dynamics"
H. Xu, P. G. Kevrekidis, A. Saxena
J. Phys. A: Math. Theor., 48, 055101 (2015)
2. Traveling Waves and their Tails in Locally Resonant Granular Systems"
H. Xu, P.G. Kevrekidis, A. Stefanov
J. Phys. A: Math. Theor., 48, 195204 (2015)
3.Nonlinear Low-to-High Frequency Energy Cascades in Diatomic Granular Crys-tals"
E. Kim, R. Chaunsali, H. Xu, J. Jaworski, J. Yang, P. G. Kevrekidis, A.F. Vakakis
Phys. Rev. E, 92, 062201 (2015)
4. Traveling waves for the Mass in Mass model of granular chains"
P. G. Kevrekidis, A. G. Stefanov, H. Xu
Lett. Math. Phys., (2016) 106: 1067
5. Existence and stability of PT -symmetric states in nonlinear two-dimensional square lattices"
H. Xu, P. G. Kevrekidis, D. E. Pelinovsky
Physica D, 326, 1-20 (2016)
6. Existence, Stability and Dynamics of Harmonically Trapped One-Dimensional Multi-
Component Solitary Waves: The Near-Linear Limit"
H. Xu, P. G. Kevrekidis, T. Kapitula
J. Math. Phys., 58, 061901 (2017)
7. Linear and nonlinear dynamics of isospectral granular chains"
H. Xu, R. Chaunsali, J. Yang, P.G. Kevrekidis
J. Phys. A: Math. Theor., 50, 175201 (2017)
8. Unifying perspective: Solitary traveling waves as discrete breathers in Hamiltonian
lattices and energy criteria for their stability"
J. Cuevas-Maraver, P.G. Kevrekidis, A. Vainchtein, H. Xu
Phys. Rev. E, 96, 032214 (2017)