English

HexaKdV

Exactly Solvable and Integrable Systems 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.nlin/0209041,
  title  = {HexaKdV},
  author = {Jeremy Schiff},
  journal= {arXiv preprint arXiv:nlin/0209041},
  year   = {2007}
}

Comments

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