The Lie algebra L(h) of symmetries of a discrete analogue of the non-linear Schrodinger equation (NLS) is studied. A five-dimensional subspace of L(h), generated by both point and generalized symmetries, transforms into the five-dimensional point symmetry 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.
Heredero, R.h., Levi, D. (2003). The discrete nonlinear Schrodinger equation and its lie symmetry reductions. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 10, 77-94 [10.2991/jnmp.2003.10.s2.6].
The discrete nonlinear Schrodinger equation and its lie symmetry reductions
LEVI, Decio
2003-01-01
Abstract
The Lie algebra L(h) of symmetries of a discrete analogue of the non-linear Schrodinger equation (NLS) is studied. A five-dimensional subspace of L(h), generated by both point and generalized symmetries, transforms into the five-dimensional point symmetry 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.File in questo prodotto:
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