On the quasi-continuous approximation of the Toda lattice

J. M. Hyman, P. Rosenau

Research output: Contribution to journalArticlepeer-review

Abstract

We study the viability of an analytic procedure for deriving a partial differential equation approximating the dynamics of a lattice, with an arbitrary interparticle potential, in close to continuum conditions. The comparison is made through a computer study of the Toda lattice. Although the exact integrability is not preserved by the approximation, the shape of the colliding solitons is extremely well preserved after many collisions.

Original languageEnglish
Pages (from-to)287-289
Number of pages3
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume124
Issue number4-5
DOIs
StatePublished - 28 Sep 1987
Externally publishedYes

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