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nlin.SI2018
A q-generalization of the Toda equations for the q-Laguerre/Hermite orthogonal polynomials
Chuan-Tsung Chan, Hsiao-Fan Liu
Based on the motivation of generalizing the correspondence between the Lax equation for the Toda lattice and the deformation theory of the orthogonal polynomials, we derive a q-def…
math.DG2018
Star Mean Curvature Flow on 3 manifolds and its Bäcklund Transformations
Hsiao-Fan Liu
The Hodge star mean curvature flow on a 3-dimensional Riemannian or pseudo-Riemannian manifold is a natural nonlinear dispersive curve flow in geometric analysis. A curve flow is i…