Continuous symmetries of the lattice potential KdV equation

D Levi, M Petrera - Journal of Physics A: Mathematical and …, 2007 - iopscience.iop.org
In this paper we present a set of results on the integration and on the symmetries of the
lattice potential Korteweg–de Vries (lpKdV) equation. Using its associated spectral problem …

Affine linear and D4 symmetric lattice equations: symmetry analysis and reductions

A Tongas, D Tsoubelis, P Xenitidis - Journal of Physics A …, 2007 - iopscience.iop.org
We consider lattice equations on which are autonomous, affine linear and possess the
symmetries of the square. Some basic properties of equations of this type are derived, as …

[引用][C] Discrete systems and integrability

J Hietarinta, N Joshi, FW Nijhoff - 2016 - Cambridge university press