| HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THEBOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS |
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| 作者姓名： | 曾云波 |
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| 作者单位： | Department of Applied Mathematics，Tsinghua University，Beijing 100084，China |
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| 摘 要： | 1IntroductionTheBoussinesqequationarisesinseveralphysicalapplicationandhasbeenstudiedquiteextensivelyinthepast1--3].Inarecentpaper4],itwasfoundthattheBoussinesqhierarchycanbeobtainedfromthezero-curvatureconditionassociatedwiththegroupSL(3,R).ThisshowsadirectrelationshipbetweenthegroupSL(3,R)andtheW3algebraofZamolodchikov.Recentlytherehasbeenconsiderableinterestinthedecompositionofsolitonequationsviaconstraintsrelatingpotentialandeigenfunctions,becausethedecompositionprovidesaneffectiveme…
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HOW TO CONSTRUCT LAX REPRESENTATIONFOR CONSTRAINED FLOWS OF THE BOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS |
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| Zeng Yunbo.HOW TO CONSTRUCT LAX REPRESENTATION FOR CONSTRAINED FLOWS OF THEBOUSSINESQ HIERARCHY VIA ADJOINT REPRESENTATIONS[J].Acta Mathematica Scientia,1997(1). |
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| Authors: | Zeng Yunbo |
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| Abstract: | By using the constraint relating potential and eigenfunctions, the decomposition of each equation in the Boussinesq hierarchy into two commuting finite-dimensional integrable Hamiltonian system (FDIHS) is presented. A method to construct the Lax representations for both x- and tn- constrained flows via reduction of the adjoint representations of the auxiliary linear problems is developed. |
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| Keywords: | constrained Row Lax representation decomposition adjoint representation zero-curvature equation |
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