The Lie algebra L(h) of point symmetries of a discrete analogue of the nonlinear Schrodinger equation (NLS) is described. In the continuous limit, the discrete equation is transformed into the NLS, while the structure of the Lie algebra changes: a contraction occurs with the lattice spacing h as the contraction parameter. A live-dimensional subspace of L(h), generated by both point and generalized symmetries, transforms into the hire-dimensional point symmetry algebra of the NLS.
Heredero, R.h., Levi, D., Winternitz, P. (2001). Symmetries of the discrete nonlinear Schrodinger equation. THEORETICAL AND MATHEMATICAL PHYSICS, 127(3), 729-737.
Symmetries of the discrete nonlinear Schrodinger equation
LEVI, Decio;
2001-01-01
Abstract
The Lie algebra L(h) of point symmetries of a discrete analogue of the nonlinear Schrodinger equation (NLS) is described. In the continuous limit, the discrete equation is transformed into the NLS, while the structure of the Lie algebra changes: a contraction occurs with the lattice spacing h as the contraction parameter. A live-dimensional subspace of L(h), generated by both point and generalized symmetries, transforms into the hire-dimensional point symmetry algebra of the NLS.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
