Journal of Nonlinear Mathematical Physics

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Volume 8, Issue Supplement, February 2001, Pages 139 - 144

Beyond Nonlinear Schrödinger Equation Approximation for an Anharmonic Chain with Harmonic Long Range Interactions

Authors
D. Grecu, Anca Visinescu, A.S. Cârstea
Corresponding Author
D. Grecu
Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.s.24How to use a DOI?
Abstract

Multi-scales method is used to analyze a nonlinear differential-difference equation. In the order 3 the NLS eq. is found to determine the space-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 eliminate secular terms. The zero dispersion point case is also analyzed and the relevant equation is a modified NLS eq. with a third order derivative term included.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - Supplement
Pages
139 - 144
Publication Date
2001/02/01
ISBN
91-631-0262-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.s.24How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - D. Grecu
AU  - Anca Visinescu
AU  - A.S. Cârstea
PY  - 2001
DA  - 2001/02/01
TI  - Beyond Nonlinear Schrödinger Equation Approximation for an Anharmonic Chain with Harmonic Long Range Interactions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 139
EP  - 144
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.24
DO  - 10.2991/jnmp.2001.8.s.24
ID  - Grecu2001
ER  -