Abstract
We propose a system of two equations which, when some of its parameters vanish, separates into two equations describing independent one-dimensional Toda chains. The system has its foundation in the discrete transformations of the Landau-Lifshitz equation which is closely connected with elliptic curves. Nontrivial solutions of the system are found in an explicit form.
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Belov, N.A., Leznov, A.N. & Zakrzewski, W.J. Generalization of the Toda chain system to the elliptic curve case. Lett Math Phys 36, 27–34 (1996). https://doi.org/10.1007/BF00403248
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DOI: https://doi.org/10.1007/BF00403248