Journal of Nonlinear Mathematical Physics

Volume 10, Issue Supplement 2, December 2003, Pages 77 - 94

The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions

Authors
R. Hernández Heredero, D. Levi
Corresponding Author
R. Hernández Heredero
Available Online 1 December 2003.
DOI
10.2991/jnmp.2003.10.s2.6How to use a DOI?
Abstract

The Lie algebra L(h) of symmetries of a discrete analogue of the non-linear Schrödinger equation (NLS) is studied. A five-dimensional subspace of L(h), generated by both point and generalized symmetries, transforms into the five-dimensional point symmtry algebra L(0) of the NLS equation. We use the lowest symmetries to do symmetry reduction of the equation, thus obtaining explicit solutions and discrete analogues of elliptic functions.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - Supplement 2
Pages
77 - 94
Publication Date
2003/12/01
ISBN
91-974824-0-4
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.s2.6How 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

TY  - JOUR
AU  - R. Hernández Heredero
AU  - D. Levi
PY  - 2003
DA  - 2003/12/01
TI  - The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions
JO  - Journal of Nonlinear Mathematical Physics
SP  - 77
EP  - 94
VL  - 10
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.s2.6
DO  - 10.2991/jnmp.2003.10.s2.6
ID  - Heredero2003
ER  -