2 papers
math.AP2025
Perturbation of the nonlinear Schrödinger equation by a localized nonlinearity
Gong Chen, Jiaqi Liu, Yuanhong Tian
We revisit the perturbative theory of infinite dimensional integrable systems developed by P. Deift and X. Zhou \cite{DZ-2}, aiming to provide new and simpler proofs of some key $L…
math.AP2025
Long time asymptotics of a perturbed modified KdV equation
Gong Chen, Jiaqi Liu, Yuanhong Tian
We derive full asymptotics of the modified KdV equation (mKdV) with a higher-order perturbative term. We make use of the perturbative theory of infinite-dimensional integrable syst…