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arXiv · 1606.06470

Explicit solutions for a nonlinear model on the honeycomb and triangular lattices

V. E. Vekslerchik
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Abstract

We study a simple nonlinear model defined on the honeycomb and triangular lattices. We propose a bilinearization scheme for the field equations and demonstrate that the resulting system is closely related to the well-studied integrable models, such as the Hirota bilinear difference equation and the Ablowitz-Ladik system. This result is used to derive the two sets of explicit solutions: the N-soliton solutions and ones constructed of the Toeplitz determinants.

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V. E. Vekslerchik. 2016-06-21. Explicit solutions for a nonlinear model on the honeycomb and triangular lattices. https://doi.org/10.1080/14029251.2016.1204719

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