| Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation W Bao, Q Tang, Z Xu Journal of Computational Physics 235, 423-445, 2013 | 105 | 2013 |
| On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime X Dong, Z Xu, X Zhao Communications in Computational Physics 16 (2), 440-466, 2014 | 28 | 2014 |
| Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein–Gordon equations Z Xu, X Dong, Y Yuan Journal of Computational and Applied Mathematics 292, 402-416, 2016 | 16 | 2016 |
| Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system K Huang, S Shi, Z Xu International Journal of Geometric Methods in Modern Physics 16 (04), 1950059, 2019 | 12 | 2019 |
| Projection gradient method for energy functional minimization with a constraint and its application to computing the ground state of spin–orbit-coupled Bose–Einstein condensates H Wang, Z Xu Computer Physics Communications 185 (11), 2803-2808, 2014 | 10 | 2014 |
| A hierarchy of integrable differential-difference equations and darboux transformation FC Fan, SY Shi, ZG Xu Reports on Mathematical Physics 84 (3), 289-301, 2019 | 8 | 2019 |
| Nonexistence of formal first integrals for general nonlinear systems under resonance F Liu, S Shi, Z Xu Journal of mathematical analysis and applications 363 (1), 214-219, 2010 | 5 | 2010 |
| Simple high-order boundary conditions for computing rogue waves in the nonlinear Schrödinger equation P Wang, Z Xu, J Yin Computer Physics Communications 251, 107109, 2020 | 4 | 2020 |
| Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system F Fan, S Shi, Z Xu International Journal of Modern Physics B 33 (14), 1950147, 2019 | 4 | 2019 |
| The numerical study of the ground states of spin-1 Bose-Einstein condensates with spin-orbit-coupling Y Yuan, Z Xu, Q Tang, H Wang East Asian J. Appl. Math 8 (3), 598-610, 2018 | 3 | 2018 |
| Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law Z Xu, W Bao, S Shi arXiv preprint arXiv:1701.01030, 2016 | 3 | 2016 |
| Formal first integrals for periodic systems J Jiao, S Shi, Z Xu Journal of mathematical analysis and applications 366 (1), 128-136, 2010 | 2 | 2010 |
| Nonexistence of formal first integrals for nonlinear systems under the case of resonance W Li, Z Xu, S Shi Journal of mathematical physics 51 (2), 2010 | 2 | 2010 |
| Higher order criterion for the nonexistence of formal first integral for nonlinear systems Z Xu, W Li, S Shi Texas State University, Department of Mathematics, 2017 | | 2017 |
| Nonexistence and partial existence of first integrals for diffeomorphisms Z Xu, S Shi, F Liu Applied mathematics letters 23 (4), 399-403, 2010 | | 2010 |
