TY - JOUR

T1 - On the quasi-continuous approximation of the Toda lattice

AU - Hyman, J. M.

AU - Rosenau, P.

N1 - Funding Information:
~ Work supported by the US Department of Energy under con-tract W-7405-ENG-36and KC-07-Ol-Ol. Permanent address: Department of Mechanical Engineering, Technion, Israel Institute of Technology, Haifa 32000, Israel.

PY - 1987/9/28

Y1 - 1987/9/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=45949118797&partnerID=8YFLogxK

U2 - 10.1016/0375-9601(87)90639-6

DO - 10.1016/0375-9601(87)90639-6

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AN - SCOPUS:45949118797

SN - 0375-9601

VL - 124

SP - 287

EP - 289

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 4-5

ER -