dc.contributor.author |
Adilkhanov, A.N.
|
|
dc.contributor.author |
Taimanov, I.A.
|
|
dc.creator |
A.N., Adilkhanov |
|
dc.date.accessioned |
2017-12-20T03:31:47Z |
|
dc.date.available |
2017-12-20T03:31:47Z |
|
dc.date.issued |
2017-01-01 |
|
dc.identifier |
DOI:10.1016/j.cnsns.2016.04.033 |
|
dc.identifier.citation |
A.N. Adilkhanov, I.A. Taimanov, On numerical study of the discrete spectrum of a two-dimensional Schrödinger operator with soliton potential, In Communications in Nonlinear Science and Numerical Simulation, Volume 42, 2017, Pages 83-92 |
en_US |
dc.identifier.issn |
10075704 |
|
dc.identifier.uri |
https://www.sciencedirect.com/science/article/pii/S1007570416301356 |
|
dc.identifier.uri |
http://nur.nu.edu.kz/handle/123456789/2956 |
|
dc.description.abstract |
Abstract The discrete spectra of certain two-dimensional Schrödinger operators are numerically calculated. These operators are obtained by the Moutard transformation and have interesting spectral properties: their kernels are multi-dimensional and the deformations of potentials via the Novikov–Veselov equation (a two-dimensional generalization of the Korteweg–de Vries equation) lead to blowups. The calculations supply the numerical evidence for some statements about the integrable systems related to a 2D Schrödinger operator. The numerical scheme is applicable to a general 2D Schrödinger operator with fast decaying potential. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Communications in Nonlinear Science and Numerical Simulation |
en_US |
dc.relation.ispartof |
Communications in Nonlinear Science and Numerical Simulation |
|
dc.subject |
Schrodinger operator |
en_US |
dc.subject |
Discrete spectrum |
en_US |
dc.subject |
Galerkin method |
en_US |
dc.subject |
Soliton, |
en_US |
dc.title |
On numerical study of the discrete spectrum of a two-dimensional Schrödinger operator with soliton potential |
en_US |
dc.type |
Article |
en_US |
dc.rights.license |
© 2016 Elsevier B.V. All rights reserved. |
|
elsevier.identifier.doi |
10.1016/j.cnsns.2016.04.033 |
|
elsevier.identifier.eid |
1-s2.0-S1007570416301356 |
|
elsevier.identifier.pii |
S1007-5704(16)30135-6 |
|
elsevier.identifier.scopusid |
84971265155 |
|
elsevier.volume |
42 |
|
elsevier.coverdate |
2017-01-01 |
|
elsevier.coverdisplaydate |
January 2017 |
|
elsevier.startingpage |
83 |
|
elsevier.endingpage |
92 |
|
elsevier.openaccess |
0 |
|
elsevier.openaccessarticle |
false |
|
elsevier.openarchivearticle |
false |
|
elsevier.teaser |
The discrete spectra of certain two-dimensional Schrödinger operators are numerically calculated. These operators are obtained by the Moutard transformation and have interesting spectral properties:... |
|
elsevier.aggregationtype |
Journal |
|
workflow.import.source |
science |
|