This article is cited in 2 papers

Numerical analysis of the Toda lattice equations

S. P. Popov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia

Abstract: Numerical solutions to three systems of integrable evolutionary equations from the Toda lattice hierarchy are analyzed. These are the classical Toda lattice, the second local dispersive flow, and the second extended dispersive flow. Special attention is given to the properties of soliton solutions. For the equations of the second local flow, two types of solitons interacting in a special manner are found. Solutions corresponding to various initial data are qualitatively outlined.

Key words: Toda lattice equations, numerical analysis, soliton solutions, dispersive flows.

UDC: 519.634

Received: 28.02.2005

 English version: Computational Mathematics and Mathematical Physics, 2006, 46:6, 983–994

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