Beyond nonlinear Schrodinger equation approximation for an anharmonic chain with harmonic long range interactions

Authors
Grecu, D Visinescu, A Carstea, AS
Citation
D. Grecu et al., Beyond nonlinear Schrodinger equation approximation for an anharmonic chain with harmonic long range interactions, J NONL M PH, 8, 2001, pp. 139-144
Citations number
17
Categorie Soggetti
Physics
Journal title
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
ISSN journal
14029251 → ACNP
Volume
8
Year of publication
2001
Supplement
S
Pages
139 - 144
Database
ISI
SICI code
1402-9251(200102)8:<139:BNSEAF>2.0.ZU;2-#
Abstract
Multi-scales method is used to analyze a nonlinear differential-difference equation. In the order epsilon (3) the NLS eq. is found to determine the sp ace time evolution of the leading amplitude. In the next order this has to satisfy a complex mKdV eq. (the next in the NLS hierarchy) in order to elim inate secular terms. The zero dispersion point case is also analyzed and th e relevant equation is a modified NLS eq. with a third order derivative ter m included.