30 citations · 97 across the 20 of their papers we have counts for
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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…
Exponential asymptotics of woodpile chain nanoptera using numerical analytic continuation
Guo Deng, Christopher J. Lustri
Travelling waves in woodpile chains are typically nanoptera, which are composed of a central solitary wave and exponentially small oscillations. These oscillations have been studie…
Nanoptera In Higher-Order Nonlinear Schrödinger Equations: Effects Of Discretization
Aaron J. Moston-Duggan, Mason A. Porter, Christopher J. Lustri
We consider generalizations of nonlinear Schrödinger equations, which we call "Karpman equations", that include additional linear higher-order derivatives. Singularly-perturbed Kar…
Nanoptera in nonlinear woodpile chains with zero precompression
Guo Deng, Christopher J. Lustri
We use exponential asymptotics to study travelling waves in woodpile systems modelled as singularly perturbed granular chains with zero precompression and small mass ratio. These s…
Nanoptera in weakly nonlinear woodpile and diatomic granular chains
Guo Deng, Christopher J. Lustri, Mason A. Porter
We study ``nanoptera'', which are non-localized solitary waves with exponentially small but non-decaying oscillations, in two singularly-perturbed Hertzian chains with precompressi…
Nanoptera and Stokes Curves in the 2-Periodic Fermi-Pasta-Ulam-Tsingou Equation
Christopher J. Lustri
This work presents asymptotic solutions to a singularly-perturbed, period-2 FPUT lattice and uses exponential asymptotics to examine `nanoptera', which are nonlocal solitary waves…
Nanoptera in a Period-2 Toda Chain
Christopher J. Lustri, Mason A. Porter
We study asymptotic solutions to a singularly-perturbed, period-2 Toda lattice and use exponential asymptotics to examine `nanoptera', which are nonlocal solitary waves with consta…