7 citations · 29 across the 22 of their papers we have counts for
5 papers · 1 filter
Korteweg--de Vries limit for the Fermi--Pasta--Ulam system
Younghun Hong, Chulkwang Kwak, Changhun Yang
In this paper, we develop dispersive PDE techniques for the Fermi--Pasta--Ulam (FPU) system with infinitely many oscillators, and we show that general solutions to the infinite FPU…
Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations
Younghun Hong, Chulkwang Kwak, Shohei Nakamura +1
A nonlinear Schrödinger equation (NLS) on a periodic box can be discretized as a discrete nonlinear Schrödinger equation (DNLS) on a periodic cubic lattice, which is a system of fi…
Well-posedness issues on the periodic modified Kawahara equation
Chulkwang Kwak
This paper is concerned with the Cauchy problem of the modified Kawahara equation (posed on ), which is well-known as a model of capillary-gravity waves in an infinitely…
Asymptotic dynamics for the small data weakly dispersive one-dimensional Hamiltonian ABCD system
Chulkwang Kwak, Claudio Muñoz
Consider the Hamiltonian system in one dimension, with data posed in the energy space . This model, introduced by Bona, Chen and Saut, is a well-known physica…
Global solutions and stability properties of the 5th order Gardner equation
Miguel A. Alejo, Chulkwang Kwak
In this work, we deal with the initial value problem of the 5th-order Gardner equation in , presenting the local well-posedness result in . As a conseq…