Solutions of the Discrete Nonlinear Schrödinger Equation with a Trap

Autor:	V. N. Likhachev, G. A. Vinogradov
Rok vydání:	2019
Předmět:	Physics Series (mathematics) Continuum (topology) Mathematical analysis Statistical and Nonlinear Physics Function (mathematics) Center (group theory) symbols.namesake Tight binding symbols Limit (mathematics) Nonlinear Schrödinger equation Mathematical Physics Order of magnitude
Zdroj:	Theoretical and Mathematical Physics. 201:1771-1778
ISSN:	1573-9333 0040-5779
DOI:	10.1134/s0040577919120080
Popis:	We obtain solutions of the discrete nonlinear Schrodinger 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::504b692d7df012dcebebb96c0fd558a5 https://doi.org/10.1134/s0040577919120080 Zobrazit plný text záznamu Plný text ve formátu PDF