10 citations · 10 across the 3 of their papers we have counts for
3 papers
math.AP2022
Infinite dimensional symplectic capacity and nonsqueezing property for the Zakharov system on the -dimensional torus
Sunghyun Hong
We prove the invariant of the symplectic capacity for the Zakharov system on a torus. If the Zakharov solution map is well-defined, then it can be regarded as a symplectomorphism.…
math.AP2015
Global well-posedness and Nonsqueezing property for the higher-order KdV-type flow
Sunghyun Hong, Chulkwang Kwak
In this paper, we prove that the periodic higher-order KdV-type equation \[\left\{\begin{array}{ll} \partial_t u + (-1)^{j+1} \partial_x^{2j+1}u + \frac12 \partial_x(u^2)=0, \hspac…
math.AP2015★ 10 cited
Nonsqueezing property of the coupled KdV type system without Miura transform
Sunghyun Hong, Soonsik Kwon
We prove the nonsqueezing property of the coupled Korteweg-de Vries (KdV) equation. Relying on Gromov's nonsqueezing theorem for finite dimensional Hamiltonian systems, the argumen…