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On the spectral parameter problem
"... We consider the problem whether a nonparametric zerocurvature representation can be embedded into a oneparameter family within the same Lie algebra. After introducing a computable cohomological obstruction, a method using the recursion operator to incorporate the parameter is discussed. 1 ..."
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We consider the problem whether a nonparametric zerocurvature representation can be embedded into a oneparameter family within the same Lie algebra. After introducing a computable cohomological obstruction, a method using the recursion operator to incorporate the parameter is discussed. 1
Smooth Solution to the 1Dimensional Spin Equations
"... Abstract In this paper, the global existence and uniqueness of a smooth solution to the periodic initialvalue problem of the spin equations of antiferromagnets in 1 dimension are proved. ..."
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Abstract In this paper, the global existence and uniqueness of a smooth solution to the periodic initialvalue problem of the spin equations of antiferromagnets in 1 dimension are proved.