Professor Liu has authored more than ten monographs and textbooks, including Nonlinear Dynamics and Complex Phenomena, Atmospheric Vortex Dynamics, Atmospheric Dynamics, and Fractals in Physics, as well as numerous peer-reviewed publications. His work has addressed nonlinear wave processes, atmospheric vortices, turbulence, and complex geophysical phenomena, contributing to the theoretical development of atmospheric dynamics and geophysical fluid mechanics. Through long-standing research and academic supervision, he has also contributed to the training of researchers in atmospheric science and fluid dynamics. His academic work connects fundamental research in nonlinear fluid mechanics with broader questions concerning atmospheric processes, weather prediction, climate dynamics, and the mathematical description of complex natural systems.