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- Title
Solutions of the Discrete Nonlinear Schrödinger Equation with a Trap.
- Authors
Likhachev, V. N.; Vinogradov, G. A.
- Abstract
We obtain solutions of the discrete nonlinear Schrödinger equation with an impurity center in two ways. In the first of them, we construct the wave function as a series in a certain parameter. In the second, approximate method, we obtain the wave function in the continuum limit. We compare the obtained solutions with numerical results, and the relative accuracy of the solution in the form of a series does not exceed 10−15in order of magnitude.
- Subjects
IMPURITY centers; MAGNITUDE (Mathematics)
- Publication
Theoretical & Mathematical Physics, 2019, Vol 201, Issue 3, p1771
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577919120080