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2005•Chinese PhysicsRequires access

A class of integrable expanding model for the coupled AKNS–Kaup–Newell soliton hierarchy

Hongxiang Yang, Xi-Xiang Xu

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Abstract

An isospectral problem is established by means of a sub-algebra of loop Lie algebra à 1 , from which the coupled AKNS–Kaup–Newell soliton hierarchy is derived. Subsequently, the integrable expanding model, i.e. integrable coupling, is constructed through enlarging the corresponding loop algebra into the loop Lie algebra à 2 .

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What this paper is about

An isospectral problem is established by means of a sub-algebra of loop Lie algebra à 1 , from which the coupled AKNS–Kaup–Newell soliton hierarchy is derived. Subsequently, the integrable expanding model, i.e. integrable coupling, is constructed through enlarging the corresponding loop algebra into the loop Lie algebra à 2 .

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OpenAlex reports 16 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

An isospectral problem is established by means of a sub-algebra of loop Lie algebra à 1 , from which the coupled AKNS–Kaup–Newell soliton hierarchy is derived. Subsequently, the integrable expanding model, i.e. integrable coupling, is constructed through enlarging the corresponding loop algebra into the loop Lie algebra à 2 .

Key concepts: Isospectral, Integrable system, Loop algebra, Lie algebra, Hierarchy, Algebra over a field, Current algebra, Soliton

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