r-Matrix Structure for a Restricted Flow with Bargmann Constraint-中国期刊网

摘要 Thispaperdealswiththeintegrabilityofafinite-dimensionalHamiltoniansystemlinkedwiththegeneralizedcoupledKdVhierarchy.ForthispurposetheassociatedLaxrepresentationispresentedafteranelementarycalculation.ItisshownthattheLaxrepresentationenjoysadynamicalr-matrixformulainsteadofaclassicaloneinthePoissonbracketonR2N.Consequentlytheresultingsystemisprovedtobecompletelyintegrableinviewofitsr-matrixstructure.

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r-Matrix Structure for a Restricted Flow with Bargmann Constraint

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r-Matrix Structure for a Restricted Flow with Bargmann Constraint

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