Generalization of the Toda chain system to the elliptic curve case
Abstract
We propose a system of two equations which, when some of its parameters vanish, separates into two equations describing independent onedimensional Toda chains. The system has its foundation in the discrete transformations of the LandauLifshitz equation which is closely connected with elliptic curves. Nontrivial solutions of the system are found in an explicit form.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 January 1996
 DOI:
 10.1007/BF00403248
 Bibcode:
 1996LMaPh..36...27B