Geodesic
Two-Dimensional Toda–Heisenberg Lattice
Symmetry, integrability and geometry: methods and applications, Tome 9 (2013) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a nonlinear model that is a combination of the anisotropic two-dimensional classical Heisenberg and Toda-like lattices. In the framework of the Hirota direct approach, we present the field equations of this model as a bilinear system, which is closely related to the Ablowitz–Ladik hierarchy, and derive its $N$-soliton solutions.
Keywords: classical Heisenberg model; Toda-like lattices; Hirota direct method; Ablowitz–Ladik hierarchy; soliton. 
@article{SIGMA_2013_9_a43,
     author = {Vadim E. Vekslerchik},
     title = {Two-Dimensional {Toda{\textendash}Heisenberg} {Lattice}},
     journal = {Symmetry, integrability and geometry: methods and applications},
     year = {2013},
     volume = {9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a43/}
}
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Vadim E. Vekslerchik. Two-Dimensional Toda–Heisenberg Lattice. Symmetry, integrability and geometry: methods and applications, Tome 9 (2013). http://geodesic.mathdoc.fr/item/SIGMA_2013_9_a43/

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