Work

Linearizable boundary value problems for the nonlinear Schrodinger equation in laboratory coordinates

Year: 2018

Type: preprint

Abstract: Boundary value problems for the nonlinear Schrodinger equation on the half line in laboratory coordinates are considered. A class of boundary conditions that lead to linearizable problems is identified by introducing appropriate extensions to initial-value problems on the infinite line, either explicitly or by constructing a suitable Backlund transformation. Various soliton solutions are explicitly constructed and studied.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1811.08373

Authors: Leisman, Katelyn Plaisier, Biondini, Gino, Kovacic, Gregor

Institutions: Rensselaer Polytechnic Institute, University at Buffalo, State University of New York

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Award: OP: Collaborative research: Nonlinear theory of slow light

OpenAlex ID: W2949148161

Cites: 10

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Related to: 20