79 citations · 1k across the 43 of their papers we have counts for
Showing 2018Show all
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quant-ph2018★ 13 cited
A new non-perturbative approach in quantum mechanics for time-independent Schrödinger equations
Shijun Liao
A new non-perturbative approach is proposed to solve time-independent Schrödinger equations in quantum mechanics and chromodynamics (QCD). It is based on the homotopy analysis meth…
nlin.CD2018★ 40 cited
Collisionless periodic orbits in the free-fall three-body problem
Xiaoming Li, Shijun Liao
Although the free-fall three-body problem have been investigated for more than one century, however, only four collisionless periodic orbits have been found. In this paper, we repo…
physics.flu-dyn2018★ 14 cited
A singularity-free analytic solution of rise dynamics of a liquid in a vertical cylindrical capillary
Xiaoxu Zhong, Bohua Sun, Shijun Liao
Capillary driven flow is a famous problem in fluid dynamics which dates back to Leonardo da Vinci. In this paper, we apply an analytic approximation method for highly nonlinear pro…