Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation
Abstract
We analyze the large-n behavior of soliton solutions of the integrable focusing nonlinear Schrödinger equation with associated spectral data consisting of a single pair of conjugate poles of order 2n. Starting from the zero background, we generate multiple-pole solitons by n-fold application of Darboux transformations. The resulting functions are encoded in a Riemann–Hilbert problem using the robust inverse-scattering transform method recently...
Paper Details
Title
Large-Order Asymptotics for Multiple-Pole Solitons of the Focusing Nonlinear Schrödinger Equation
Published Date
Apr 16, 2019
Journal
Volume
29
Issue
5
Pages
2185 - 2229
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