TY - JOUR

T1 - Linearizable boundary value problems for the nonlinear Schrödinger equation in laboratory coordinates

AU - Plaisier Leisman, Katelyn

AU - Biondini, Gino

AU - Kovacic, Gregor

N1 - Funding Information:
KL is grateful to M. Schwarz for many helpful discussions. This work was partially supported by the National Science Foundation under grant numbers DMS-1344962 , DMS-1615859 and DMS-1615524 .
Publisher Copyright:
© 2018

PY - 2019/1/28

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

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U2 - 10.1016/j.physleta.2018.11.028

DO - 10.1016/j.physleta.2018.11.028

M3 - Article

AN - SCOPUS:85057584207

SN - 0375-9601

VL - 383

SP - 494

EP - 503

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 -