7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.DG2013
New Geometric Flows on Riemannian Manifolds and Applications to Schrödinger-Airy Flows
Xiaowei Sun, Youde Wang
In this paper, we define a class of new geometric flows on a complete Riemannian manifold. The new flow is related to the generalized (third order) Landau-Lifishitz equation. On th…
math.DG2012★ 7 cited
Geometric solitons of Hamiltonian flows on manifolds
Chong Song, Xiaowei Sun, Youde Wang
It is well-known that the LIE(Locally Induction Equation) admit soliton-type solutions and same soliton solutions arise from different and apparently irrelevant physical models. By…
math.DG2012★ 1 cited
Geometric Schrödinger-Airy Flows on Kähler Manifolds
Xiaowei Sun, Youde Wang
We define a class of geometric flows on a complete Kähler manifold to unify some physical and mechanical models such as the motion equations of vortex filament, complex-valued mKdV…