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AN UNITED APPROACH TO BOTH THE TM HIERARCHY AND THE COUPLED KdV HIERARCHY

AN UNITED APPROACH TO BOTH THE TM HIERARCHY AND THE COUPLED KdV HIERARCHY
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摘要 A united model of both the TM hierarchy and the coupled KdV hierarchy is proposed.By using the trace identity,the bi-Hamiltonian structure of the corresponding hierarchy is established. The isospectral problem is nonlinearized as a new completely integrable Hamiltonian system in Liouville sense. A united model of both the TM hierarchy and the coupled KdV hierarchy is proposed.By using the trace identity,the bi-Hamiltonian structure of the corresponding hierarchy is established. The isospectral problem is nonlinearized as a new completely integrable Hamiltonian system in Liouville sense.
作者 蒋志民
出处 《Acta Mathematica Scientia》 SCIE CSCD 1999年第S1期481-486,共6页 数学物理学报(B辑英文版)
基金 the Natural Science Foundationof Henan Province, China.
关键词 Spectral problem bi-Hamiltonian structure Bargmann system Spectral problem, bi-Hamiltonian structure, Bargmann system
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