HexaKdV
Jeremy Schiff
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.
Create a lesson
Related papers
Integrability of the deformed Toda systems
Mikhail Vasilev
An integrable Z22-graded extension of Camassa-Holm equation and its bi-Hamiltonian structure
N. Aizawa, Ichi Fujii, Ren Ito et al.
Maxwell's relations as Hamilton's equations: a symplectic and variational framework
Sikarin Yoo-Kong
The Nakamura Conjecture Revisited: Toda Molecules and Stationary Axisymmetric Gravity
Takeshi Fukuyama
Multivariable Painleve'-II equation: connection formulas for arbitrary system size
Nikolai A. Sinitsyn
Vector rogue wave patterns associated with generalized Hermite and Okamoto polynomials
Hejiaqi Chen, Dongwei Wu, Chengfa Wu et al.