2 papers
math.CA2026
Large-order perturbation theory of linear eigenvalue problems
Stephen Jonathan Chapman
We consider a class of linear eigenvalue problems depending on a small parameter epsilon in which the series expansion for the eigenvalue in powers of epsilon is divergent. We deve…
nlin.PS2025
Exponential Asymptotics for Translational Modes in the Discrete Nonlinear Schr{ö}dinger Model
C. J. Lustri, P. G. Kevrekidis, S. J. Chapman
In the present work, we revisit the topic of translational eigenmodes in discrete models. We focus on the prototypical example of the discrete nonlinear Schr{ö}dinger equation, al…