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

Katelyn Plaisier Leisman; Gino Biondini; Gregor Kovacic

doi:10.1016/j.physleta.2018.11.028

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

Katelyn Plaisier Leisman
, Gino Biondini
, Gregor Kovacic

Mathematics

Rensselaer Polytechnic Institute

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Boundary value problems for the nonlinear Schrödinger 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 Bäcklund transformation. Various soliton solutions are explicitly constructed and studied.

Original language	English
Pages (from-to)	494-503
Number of pages	10
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	383
Issue number	6
DOIs	https://doi.org/10.1016/j.physleta.2018.11.028
State	Published - Jan 28 2019

Keywords

Boundary value problems
Laboratory frame
Nonlinear Schrödinger equation
Solitons

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10.1016/j.physleta.2018.11.028

Cite this

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title = "Linearizable boundary value problems for the nonlinear Schr{\"o}dinger equation in laboratory coordinates",

abstract = "Boundary value problems for the nonlinear Schr{\"o}dinger 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 B{\"a}cklund transformation. Various soliton solutions are explicitly constructed and studied.",

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AU - Biondini, Gino

AU - Kovacic, Gregor

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Y1 - 2019/1/28

N2 - Boundary value problems for the nonlinear Schrödinger 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 Bäcklund transformation. Various soliton solutions are explicitly constructed and studied.

AB - Boundary value problems for the nonlinear Schrödinger 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 Bäcklund transformation. Various soliton solutions are explicitly constructed and studied.

KW - Boundary value problems

KW - Laboratory frame

KW - Nonlinear Schrödinger equation

KW - Solitons

UR - https://www.scopus.com/pages/publications/85057584207

U2 - 10.1016/j.physleta.2018.11.028

DO - 10.1016/j.physleta.2018.11.028

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SN - 0375-9601

VL - 383

SP - 494

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 6

ER -

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

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Keywords

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