Linear r-matrix algebra for systems separable in parabolic coordinates

J. C. Eilbeck, V. Z. Enol'skii, V. B. Kuznetsov, D. V. Leykin

Research output: Contribution to journalArticlepeer-review

36 Citations (Scopus)


We consider a hierarchy of many particle systems on the line with polynomial potentials separable in parabolic coordinates. Using the Lax representation, written in terms of 2×2 matrices for the whole hierarchy, we construct the associated linear r-matrix algebra with the r-matrix dependent on the dynamical variables. A dynamical Yang-Baxter equation is discussed. © 1993.

Original languageEnglish
Pages (from-to)208-214
Number of pages7
JournalPhysics Letters A
Issue number3
Publication statusPublished - 6 Sept 1993


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