Rogue waves,
Soliton,
Localized waves,
Multi-component nonlinear systems automorphism.
Основные темы научной работы
Soliton theory and integrable systems
Основные публикации:
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., 2023
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, 2023
Tao Xu, Guoliang He, Ming Wang, Yanqing Wang, “Mixed Higher-Order Rogue Waves and Solitons for the Coupled Modified Nonlinear Schrödinger Equation”, Qualitative Theory of Dynamical Systems, 22:14 (2023)
Tao Xu, Guoliang He, “Higher-order semirational solutions and W-shaped solitons for the multi-component AB system”, Wave Motion, 106 (2021)
Tao Xu, Guoliang He, “The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions”, Nonlinear Dyn, 100 (2020), 2823-2837
Tao Xu, Heguo Liu, “On normal automorphisms of groups”, Mathematical Notes, 110:6 (2021), 982-986