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New soliton hierarchies associated with the real Lie algebra so(4,R)
Journal article   Peer reviewed

New soliton hierarchies associated with the real Lie algebra so(4,R)

Shundong Zhu, Shoufeng Shen, Yongyang Jin, Chunxia Li and Wen-Xiu Ma
Mathematical methods in the applied sciences, Vol.40(3), pp.680-698
01/02/2017
DOI: https://doi.org/10.1002/mma.4001

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We present some new matrix spectral problems, based on the real special orthogonal Lie algebra so(4,R), and construct corresponding soliton hierarchies bymeans 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 andWadati-Konno-Ichikawa type are obtained to illustrate the use of so. (4,R). Copyright (C) 2016 JohnWiley & Sons, Ltd.

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