Integrable mappings derived from soliton equations

G.R.W. Quispel, H.W. Capel, V.G. Papageorgiou and F.W. Nijhoff

Physica A: Statistical Mechanics and its Applications, 1991, vol. 173, issue 1, 243-266

Abstract: We derive a hierarchy of ibtegrable mappings (integrable ordinary difference equations) corresponding to solutions of the initial-value problem of an integrable partial difference equation with periodic initial data. For each n ϵ N this hierarchy contains at least one integrable mapping Rn→Rn. The integrals of these mappings are constructed using the Lax pair of the underlying partial difference equation. Our approach is illustrated for the integrable partial difference analogues of the sine-Gordon and the (modified) Korteweg-de Vries equations.

Date: 1991
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:173:y:1991:i:1:p:243-266

DOI: 10.1016/0378-4371(91)90258-E

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