paper

HexaKdV

arXiv:nlin/0209041

Abstract

An analog of the lattice KdV equation of Nijhoff et al. is constructed on a hexagonal lattice. The resulting system of difference equations exhibits soliton solutions with interesting local structure: there is a nontrivial phase shift on moving between adjacent lattice sites, with the magnitude of the shift tending to zero in the continuum limit.

LaTeX, 9 pages, 2 figures, see warning at top of file

HexaKdV · wovepaper