Nov 23, 2022 · We find that discrete Karpman equations have a bifurcation parameter that determines whether or not their solutions have nanoptera.
Mar 16, 2022 · We use exponential asymptotic techniques to identify traveling nanoptera in singularly-perturbed continuous Karpman equations. We then study the ...
A key motivation for our paper is to investigate the effects of discretization on expo- nentially small oscillations in GSWs. We find that discrete Karpman ...
Nov 23, 2022 · The finite-difference discretization turns a continuous Karpman equation into an advance–delay equation, which we study using exponential ...
Jul 13, 2022 · With this approach, we are able to explicitly study the effects of discretization on nanoptera. One can also derive this equation by applying a ...
Mar 16, 2022 · We also show that discretization changes the parameter values at which there is a bifurcation between nanopteron and decaying oscillatory ...
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Asymptotic Analysis 9% · Bifurcation 15% · Decay 8% · Discrete Equations 21% · Discretization 52% · Exponential Asymptotics 29% · Finite Difference 18% · Form 4%.
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization. 2023, Journal of Nonlinear Science. Boundary Effects on Eigen-problems ...
Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization. Aaron J. Moston-Duggan; Mason A. Porter; Christopher J. Lustri.
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Nanoptera in Higher-Order Nonlinear Schrödinger Equations: Effects of Discretization · Physics, Mathematics. Journal of Nonlinear Science · 2022.