HexaKdV

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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

Scientific paper

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.

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