L–A–B representation for nonlinear evolution equations and its applications

Zhijun Qiao and Walter Strampp

Physica A: Statistical Mechanics and its Applications, 2001, vol. 293, issue 1, 143-156

Abstract: In this paper we consider the L–A–B representation of nonlinear evolution equations (NLEEs) and present an approach to determine its range. The method we adopt is that of Lie quotient algebras. As an example, we consider the Kaup–Newell spectral problem and give a category of NLEEs associated with it. Particularly, we obtain the negative order hierarchies of NLEEs by considering the inverse of recursion operator.

Keywords: L–A–B representation; Lie quotient algebra; Category; Kaup–Newell (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:293:y:2001:i:1:p:143-156

DOI: 10.1016/S0378-4371(00)00593-8

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