On numerical study of the discrete spectrum of a two-dimensional Schrodinger operator with soliton potential Full article
| Journal |
Communications in Nonlinear Science and Numerical Simulation
ISSN: 1007-5704 |
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| Output data | Year: 2017, Volume: 42, Pages: 83-92 Pages count : 10 DOI: 10.1016/j.cnsns.2016.04.033 | ||||||
| Tags | Discrete spectrum; Galerkin method; Schrodinger operator; Soliton | ||||||
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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.
Cite:
Adilkhanov A.N.
, Taimanov I.A.
On numerical study of the discrete spectrum of a two-dimensional Schrodinger operator with soliton potential
Communications in Nonlinear Science and Numerical Simulation. 2017. V.42. P.83-92. DOI: 10.1016/j.cnsns.2016.04.033 WOS Scopus OpenAlex
On numerical study of the discrete spectrum of a two-dimensional Schrodinger operator with soliton potential
Communications in Nonlinear Science and Numerical Simulation. 2017. V.42. P.83-92. DOI: 10.1016/j.cnsns.2016.04.033 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000381584600008 |
| Scopus: | 2-s2.0-84971265155 |
| OpenAlex: | W2129474133 |