Asymptotic approximations for a new eigenvalue in linear problems without a threshold

Authors
Pelinovsky, DE Sulem, C
Citation
De. Pelinovsky et C. Sulem, Asymptotic approximations for a new eigenvalue in linear problems without a threshold, THEOR MATH, 122(1), 2000, pp. 98-106
Citations number
11
Categorie Soggetti
Physics
Journal title
THEORETICAL AND MATHEMATICAL PHYSICS
ISSN journal
00405779 → ACNP
Volume
122
Issue
1
Year of publication
2000
Pages
98 - 106
Database
ISI
SICI code
0040-5779(200001)122:1<98:AAFANE>2.0.ZU;2-N
Abstract
We study the criterion for a new eigenvalue to appear in the linear spectra l problem associated with the intermediate long-wave equation. We compute t he asymptotic value of the new eigenvalue in the limit of a small potential using a Fourier decomposition method. We compare the results with those fo r the Schrodinger operator with a radially symmetrical potential.