Associate Professor, Master Supervisor

Address: No.5 Dongfeng Road, Zhengzhou University of Light Industry, Zhengzhou, Henan, China

E-mail: xutaohq@163.com

Websites: https://orcid.org/0000-0003-4283-1366

Research Interests:

Nonlinear mathematical physics, Soliton theory and integrable system.

Educational Backgrounds:

201509--201906, East China Normal University, Doctor;

201809--201903, Joint training of Ph.D candidate, The University of Texas Rio Grande Valley;

201209--201506, Huaqiao Univerity, Master;

200809--201206, Henan University of Technology, Bachelor.

Teaching Courses:

Advanced Mathematics A, Advanced Mathematics B, Soliton theory, Hirota bilinear method, Darboux transformation, KP hierarchy reduction method

Publications:

[1] Tao Xu, Zhijun Qiao, Darboux transformation and general soliton molecule pairs for a generalized reverse space nonlinear Schrödinger equation. Qual. Theor. Dyn. Syst. 25 (2026) 112.

[2] Tao Xu, Ying Wang, Yaonan Shan, Three types of localized waves and their interactions in the (3+1)-dimensional Wazwaz–Kaur–Boussinesq equation. Phys. Fluids 38 (2026) 047111.

[3] Tao Xu, Yaonan Shan, Wronskian solutions for the (3+1)-dimensional Wazwaz–Kaur–Boussinesq equation. Appl. Math. Lett. 173 (2026) 109769.

[4] Tao Xu, Ying Wang, Yaonan Shan, N-bright-dark-soliton, the general soliton molecules and N-breather for the Kuralay equation. Phys. Scr. 101 (2026) 035207.

[5] Tao Xu, Ying Wang, Yaonan Shan, The generalized N-coupled nonautonomous Gross–Pitaevskii equations: Darboux transformation and three new kinds of nonautonomous localized waves. Chaos Solitons Fractals 200 (2025) 116998.

[6] Tao Xu, Ying Wang, Yaonan Shan,Soliton molecules and breather-positon solutionsin the Heisenberg ferromagnet-type of Akbota equation. Phys. Scr. 100 (2025) 075212.

[7] Tao Xu, Zhijun Qiao, The massive Thirring model in Bragg grating: Soliton molecules breather-positon and semirational solutions. Wave Motion 134 (2025) 103503.

[8] Tao Xu, Jinyan Zhu, Soliton molecules and breather positon solutions for the coupled modified nonlinear Schrödinger equation. Wave Motion 129 (2024) 103347.

[9] Tao Xu, Zhijun Qiao, Conservation laws, modulation instability and mixed semi-rational solutions for a three-component modified nonlinear Schrödinger equation. Math. Meth. Appl. Sci. 47 (2024) 4497–4512.

[10] Tao Xu, Guoliang He, Ming Wang, Novel bright-dark mixed N-soliton for the (3+1)-component Mel’nikov system and its multi-component generalization. Nonlinear Dyn. 11 (2023) 4657-4671.

[11] Tao Xu, Guoliang He, Ming Wang, Yanqing Wang, Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation. Qual. Theor. Dyn. Syst. 22 (2023) 14.

[12] Tao Xu, Guoliang He, Higher-order semirational solutions and W-shaped solitons for the multi-component AB system. Wave Motion. 106 (2021) 102790.

[13] Tao Xu, Guoliang He, The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions. Nonlinear Dyn. 100 (2020) 2823-2837.

[14] Tao Xu, Guoliang He, Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan–Porsezian–Daniel equations. Nonlinear Dyn. 98 (2019) 1731-1744.

[15] Tao Xu, Yong Chen, Zhijun Qiao, Multi-dark soliton solutions for the (2+1)-dimensional multi-component Maccari system. Mod. Phys. Lett. B, 33 (2019) 1950390.

[16] Tao Xu, Yong Chen, Semirational solutions to the coupled Fokas-Lenells quations, Nonlinear Dyn., 95 (2019) 87-99.

[17] Tao Xu, Yong Chen, Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization. Commun. Nonlinear Sci. Numer. Simulat. 57 (2018) 276-289.

[18] Tao Xu, Wai-Hong Chan, Yong Chen, Higher-order rogue wave pairs in the coupled cubic-quintic nonlinear Schrödinger equations. Commun. Theor. Phys. 70 (2018) 153-160.

[19] Tao Xu, Yong Chen, Mixed interactions of localized waves in the three-component coupled derivative nonlinear Schrödinger equations. Nonlinear Dyn. 92 (2018) 2133-2142.

[20] Tao Xu, Yong Chen, Ji Lin, Localized waves of the coupled cubic-quintic nonlinear Schrödinger equations in nonlinear optics. Chin. Phys. B 26 (2017) 120201.

[21] Tao Xu, Yong Chen, Localised nonlinear waves in the three-component coupled Hirota equations. Z. Naturforsch. A 72 (2017) 1053-1070.

[22] Tao Xu, Yong Chen, Localized waves in three-component coupled nonlinear Schrödinger equation, Chin. Phys. B, 25 (2016) 090201.

Fundings:

1. 202301-202512, National Natural Science Foundation of China, 12201578, PI.

2. 202201-202312, Natural Science Foundation of Henan Province, 222300420377PI.

3. 202301-202512, The Youth Core Teachers Foundation of Zhengzhou University of Light Industry, 13502010011, PI.

4. 202401-202512, Natural Science Foundation of Henan Province, 242300420264, Project Member.

5. 202101-202212, Natural Science Foundation of Henan Province, 212300410417, Project Member.

6. 202501-202612, Natural Science Foundation of Henan Province, 252300423019,, Project Member.

Honors:

1. 2022 and 2024 First Prize of Excellent Scientific and Technological Paper.

2. Excellent class teacher of Zhengzhou University of Light Industry.

3. The Youth Core Teachers Foundation of Zhengzhou University of Light Industry.