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注意：本论文已在《Physics Letters A》杂志2000年第274期135-142页发表
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范恩贵
（复旦大学 数学系，上海   200433）

摘要:直接由谱问题出发并利用泛函梯度，我们给出非线性方程族零曲率表示的一种简单方法。

The zero curvature representation for hierarchies of nonlinear evolution equations

Engui Fan
 Physics Letters A 274 2000 135–142

Institute of Mathematics, Fudan Uniíersity, Shanghai 200433, PR China

Received 13 July 2000; received in revised form 1 August 2000; accepted 16 August 2000

Communicated by A.R. Bishop

Abstract:. Directly starting from the spectral problem c s U u, l cand with help of functional gradient, a simple method is x proposed for constructing zero curvature representation of the hierarchies of nonlinear evolution equations. q2000 Elsevier Science B.V. All rights reserved.
Keywords: Nonlinear evolution equation; Zero curvature representation; Lenard operator pairs

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