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[20] Lin Xu, Zhiguo Xu, Wenlei Li#, Shaoyun Shi, Renormalization group approach to a class of singularly perturbed delay differential equations, Commun. Nonlinear Sci. Numer. Simulat. 103(2021)106028 [19] Zhiguo Xu, Infinitely many solutions for the fractional p&q problem with critical Sobolev-Hardy exponents and sign-chaging weight functions, Differential and integral Equations (2021) Vol. 34, no.9-10, 519-537. [18] FangCheng Fan, ShaoYun Shi, Zhiguo Xu#, Positive and negative integrable lattice hierarchies: conservation laws and N-fold Darboux transformations, Commun. Nonlinear Sci. Numer. Simulat. 91 (2020) 105453 [17] FangCheng Fan, ShaoYun Shi, Zhiguo Xu#, Conservation laws and Darboux transformations for a3-coupled integrable lattice equations. Modern Phys. Lett. B 34(2020) no. 21, 2050218, 12pp. [16] Fangcheng Fan, Zhiguo Xu#, Shaoyun Shi, N-fold Darboux transformations and exact solutions of the combined Toda lattice and relativistic Toda lattice equation. Anal. Math. Phys. 10, 31(2020) [15] Pengde Wang; Zhiguo Xu#; Jia Yin, Simple high-order boundary conditions for computing rogue waves in the nonlinear Schrödinger equation. Comput. Phys. Commun. 251 (2020), 107109, 13 pp. [14] Fangcheng Fan, Shaoyun Shi, Zhiguo Xu#. A hierarchy of integrable differential-difference equations and Darboux transformation, Rep. Math. Phys., 84 (2019), No. 3, 289-301. [13] Fangcheng Fan, Shaoyun Shi, Zhiguo Xu#. Infinite number of conservation laws and Darboux transformations for a 6-field integrable lattice system, Int. J. Mod. Phys., 33 (2019) 1950147,16pp. [12] Kaiyin Huang, Shaoyun Shi, Zhiguo Xu#. Integrable deformations, bi-Hamiltonian structures and nonintegrability of a generalized Rikitake system, Int. J. Geom. Methods Mod. Phys., 16 (2019), no. 4, 1950059, 17 pp. [11] Zhiguo Xu, Weizhu Bao, Shaoyun Shi; Quantized vortex dynamics and interaction patterns in superconductivity based on the reduced dynamical law, Discrete Contin. Dyn. Syst. Ser. B, 23 (2018), No. 6, 2265-2297. [10] Yongjun Yuan, Zhiguo Xu, Qinglin Tang, Hanquan Wang; The Numerical Study of the Ground States of Spin-1 Bose-Einstein Condensates with Spin-Orbit-Coupling, E.ASIAN. J. APPL. MATH., 8 (2018), No. 3, pp. 598-610. [9] Zhiguo Xu, Wenlei Li, Shaoyun Shi; Higher order criterion for the nonexistence of formal first integral for nonlinear systems, Electron. J. Differential Equations, Vol. 2017 (2017), No. 274, pp. 1-11.(2017.11.5)(0.954)2019 [8] Zhiguo Xu, Xuanchun Dong, Yongjun Yuan, Error estimates in the energy space for a Gautschi-type integrator spectral discretization for the coupled nonlinear Klein-Gordon equations. J. Comput. Appl. Math. 292 (2016), 402–416. (2016.01)(1.328) [7] Hanquan Wang, Zhiguo Xu, 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. Comput. Phys. Commun. 185 (2014), no. 11, 2803–2808. (2014.11) (3.635) [6] Xuanchun Dong, Zhiguo Xu; Xiaofei Zhao, On time-splitting pseudospectral discretization for nonlinear Klein-Gordon equation in nonrelativistic limit regime. Commun. Comput. Phys. 16 (2014), no. 2, 440–466. (2014.08)(1.778) [5] Weizhu Bao, Qinglin Tang, Zhiguo Xu, Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. J. Comput. Phys. 235 (2013), 423–445. (2013.02)(2.566) [4] Zhiguo Xu, Shaoyun Shi, Fang Liu, Nonexistence and partial existence of first integrals for diffeomorphisms. Appl. Math. Lett. 23 (2010), no. 4, 399–403. [3] Wenlei Li, Zhiguo Xu#, Shaoyun Shi, Nonexistence of formal first integrals for nonlinear systems under the case of resonance. J. Math. Phys.51 (2010), no. 2, 022703, 11 pp. [2] Jiao, Jia; Shi, Shaoyun; Xu, Zhiguo, Formal first integrals for periodic systems. J. Math. Anal. Appl. 366 (2010), no. 1, 128–136. [1] Fang Liu, Shaoyun Shi, Zhiguo Xu#, Nonexistence of formal first integrals for general nonlinear systems under resonance. J. Math. Anal.363(2010), no. 1,214–219. |