Generalization of the Toda chain system to the elliptic curve case

✍ Scribed by N. A. Belov; A. N. Leznov; W. J. Zakrzewski

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 356 KB
• Volume: 36
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00403248

✦ Synopsis

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.