The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions

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/).

Download article (PDF)

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  -