Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry Algebras

Wen-Xiu MA; Zi-Xiang ZHOU

doi:10.1143/ptp.96.449

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arXiv · solv-int/9607003

Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry Algebras

Wen-Xiu MA·Zi-Xiang ZHOU

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Abstract

An isospectral hierarchy of commutative integrable systems associated with a polynomial spectral problem is proposed. The resulting hierarchy possesses a recursion structure controlled by a hereditary operator. The nonisospectral flows generate the time first order dependent symmetries of the isospectral hierarchy, which constitute Virasoro symmetry algebras together with commutative symmetries.

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Wen-Xiu MA, Zi-Xiang ZHOU. 1996-07-16. Coupled Integrable Systems Associated with a Polynomial Spectral Problem and their Virasoro Symmetry Algebras. https://doi.org/10.1143/ptp.96.449

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