A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings
Keyword(s):
Tu Guizhang and Xu Baozhi once introduced an isospectral problem by a loop algebra with degree beingλ, 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 are2λand2λ+1to 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.
2007 ◽
Vol 21
(01)
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pp. 37-44
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2008 ◽
Vol 22
(19)
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pp. 1837-1850
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2007 ◽
Vol 21
(07)
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pp. 407-413
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Keyword(s):
2006 ◽
Vol 19
(3)
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pp. 301-306
Keyword(s):