2 papers
nlin.PS2026
Exponential Asymptotics for Dark Solitons of the Discrete NLS Model
C. J. Lustri, P. G. Kevrekidis, D. E. Pelinovsky
In the present work we revisit the problem of the dark solitary wave pinned in the discrete nonlinear Schr{ö}dinger equation. In a number of recent studies, the methodology of exp…
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…