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Abstract
A new method for transforming the Lax hierarchy of nonlinear evolution equations u t =-(∂/∂ x )(δ I n /δ u ) into bilinear forms is developed on the basis of the bilinear transformation method, and the structure of these equations is clarified, where I n is the n -th conserved quantity of some nonlinear evolution equation and δ/δ u denotes the functional derivative. The explicit calculations are carried out in the case of the higher-order Korteweg-de Vries equations.
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