Nonlinear Sciences > Exactly Solvable and Integrable Systems
[Submitted on 19 Sep 2002]
Title:HexaKdV
View PDFAbstract: 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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