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.
Citation
Guangming Wang. "A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings." Abstr. Appl. Anal. 2014 (SI31) 1 - 6, 2014. https://doi.org/10.1155/2014/357621