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 -