On the quasi-continuous approximation of the Toda lattice

J. M. Hyman*, P. Rosenau

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


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
Issue number4-5
StatePublished - 28 Sep 1987
Externally publishedYes


FundersFunder number
US Department of Energy


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