2016•Mathematical Methods in the Applied SciencesRequires access

New soliton hierarchies associated with the real Lie algebra

Shundong Zhu, Shoufeng Shen, Yongyang Jin, Chunxia Li, Wenxiu Ma

Abstract

We present some new matrix spectral problems, based on the real special orthogonal Lie algebra , and construct corresponding soliton hierarchies by means of zero curvature equations associated with these spectral problems. With the aid of symbolic computation by Maple, new soliton hierarchies of Kaup–Newell type, Ablowitz–Kaup–Newell–Segur type and Wadati–Konno–Ichikawa type are obtained to illustrate the use of . Copyright © 2016 John Wiley & Sons, Ltd.

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Key concepts: Mathematics, Symbolic computation, Algebra over a field, Type (biology), Lie algebra, Maple, Construct (python library), Soliton