title: |
The Discrete Nonlinear Schrödinger Equation and its Lie Symmetry Reductions |
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publication: |
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| volume-issue: | 10 - Supplement 2 | |
| pages: | 77 - 94 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2003.10.s2.6 (how to use a DOI) | |
author(s): |
R HERNÁNDEZ HEREDERO, D LEVI |
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publication date: |
December 2003 |
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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. |
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copyright: |
©
Atlantis Press. This is an open-access article distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |