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A hierarchy of couply nonlinear evolution equations is discussed. It is proved that any finite band solution to the hierarchy of equations has an integrable parametric representation. Through a linear isomorphism, the zero curature equation is transformed into the vector fields equation, a diffeomorphism among the eigenvalue problems is constructed, and finite dimensional Hamilton systems are derived.
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Basic Information:
China Classification Code:O175.29
Citation Information:
[1]Gu Yongwei (Institute of Survey and Mapping,Information Engineering University, Zhengzhou, 450052).Parametric Representation of the Finite-band Solution to a Hierarchy of Nonlinear Evolution Equations[J].Journal of Zhengzhou University(Natural Science Edition),2001(02):6-11.
2001-06-25
2001-06-25