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A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings

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  • Guangming Wang

Abstract

Tu Guizhang and Xu Baozhi once introduced an isospectral problem by a loop algebra with degree being , for which an integrable hierarchy of evolution equations (called the TX hierarchy) was derived under the frame of zero curvature equations. In the paper, we present a loop algebra whose degrees are and to simply represent the above isospectral matrix and easily derive the TX hierarchy. Specially, through enlarging the loop algebra with 3 dimensions to 6 dimensions, we generate a new integrable coupling of the TX hierarchy and its corresponding Hamiltonian structure.

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  • Guangming Wang, 2014. "A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, May.
    • Handle: RePEc:hin:jnlaaa:357621
    DOI: 10.1155/2014/357621
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