30 citations · 97 across the 20 of their papers we have counts for
4 papers · 1 filter
Appearance of the higher-order Stokes phenomenon in a discrete Airy equation
Aaron J. Moston-Duggan, Christopher J. Howls, Christopher J. Lustri
We study a discrete variant of the Airy equation, formulated as an advance-delay equation, to reveal that discretization induces the higher-order Stokes phenomenon, which is not pr…
Small-time asymptotics and the emergence of complex singularities for the KdV equation
Scott W. McCue, Christopher J. Lustri, Daniel J. VandenHeuvel +3
While real-valued solutions of the Korteweg--de Vries (KdV) equation have been studied extensively over the past 50 years, much less attention has been devoted to solution behaviou…
Borel-Padé exponential asymptotics for the discrete nonlinear Schrödinger model with next-to-nearest neighbour interactions
Christopher J. Lustri, Inês Aniceto, Panayotis G. Kevrekidis
In the present work we study discrete nonlinear Schr{ö}dinger models combining nearest (NN) and next-nearest (NNN) neighbor interactions, motivated by experiments in waveguide arra…
Stokes' phenomenon in continuous limits of discrete Painlevé I
Christopher J. Lustri, John R. King
We use exponential asymptotic analysis to identify the relevance of Stokes' phenomenon to integrability in discrete systems. We study Stokes' phenomenon in two discrete problems wi…