Open AccessA type of expanding integrable system for NLS-mKdV hierarchy
Author(s) -
Yufeng Zhang,
Yan Qin
Publication year - 2003
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.52.2109
Subject(s) - integrable system , nls , hierarchy , type (biology) , computer science , physics , mathematical physics , neuroscience , nuclear localization sequence , psychology , geology , political science , paleontology , nucleus , law
A subalgerbra 1, which is equivalent to the subalgebra of the loop al gebra 2 in “1997 Acta Math. Sin. 40 801”, is constructed by making use of algebraic t ransformation. Then a high-dimensional loop algebra is presented in terms of 1. An isospectral problem is established following by the use of direc t sum ope rators and isomorphic relations among subalgebras. It follows that a type of exp anding integrable system for the NLS_mKdV hierarchy of evolution equations is ob tained. As in reduction cases, the integrable couplings of the famous Schrding er equation and mKdV equation are presented.