29 citations · 52 across the 6 of their papers we have counts for
7 papers
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 expo…
Standing lattice solitons in the discrete NLS equation with saturation
G. L. Alfimov, A. S. Korobeinikov, C. J. Lustri +1
We consider standing lattice solitons for discrete nonlinear Schrodinger equation with saturation (NLSS), where so-called transparent points were recently discovered. These transpa…
Generalized Solitary Waves in a Finite-Difference Korteweg-de Vries Equation
Nalini Joshi, Christopher J. Lustri
Generalized solitary waves with exponentially small non-decaying far field oscillations have been studied in a range of singularly-perturbed differential equations, including highe…
Nonlinear -Stokes phenomena for -Painlevé I
Nalini Joshi, Christopher Lustri, Steven Luu
We consider the asymptotic behaviour of solutions of the first -difference Painlevé equation in the limits and . Using asymptotic power se…
Stokes Phenomena in Discrete Painlevé II
Nalini Joshi, Christopher Lustri, Steven Luu
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the independent variable becomes large. Using asymptotic power series, we find solutio…
Multiple scales and matched asymptotic expansions for the discrete logistic equation
Cameron L. Hall, Christopher J. Lustri
In this paper, we combine the method of multiple scales and the method of matched asymptotic expansions to construct uniformly-valid asymptotic solutions to autonomous and non-auto…
Stokes Phenomena in Discrete Painlevé I
N. Joshi, C. J. Lustri
In this study, we consider the asymptotic behaviour of the first discrete Painlev\{e} equation in the limit as the independent variable becomes large. Using an asymptotic series ex…