TY - JOUR
T1 - New Matrix Lax Representation for a Blaszak-Marciniak Four-Field Lattice Hierarchy and Its Infinitely Many Conservation Laws
AU - Zhu, Zuo Nong
AU - Zhu, Zuo Ming
AU - Wu, Xiaonan
AU - Xue, Weimin
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2002/8
Y1 - 2002/8
N2 - In this article, by means of considering a 4 × 4 discrete isospectral problem, and constructing a proper continuous time evolution equation, and using discrete zero curvature equation, a Blaszak-Marciniak four-field lattice hierarchy is re-derived. Thus a new matrix Lax representation for the hierarchy is obtained. From the new matrix Lax representation, we demonstrate the existence of infinitely many conservation laws for the lattice hierarchy and give the corresponding conserved densities and the associated fluxes formulaically. Thus its integrability is further confirmed.
AB - In this article, by means of considering a 4 × 4 discrete isospectral problem, and constructing a proper continuous time evolution equation, and using discrete zero curvature equation, a Blaszak-Marciniak four-field lattice hierarchy is re-derived. Thus a new matrix Lax representation for the hierarchy is obtained. From the new matrix Lax representation, we demonstrate the existence of infinitely many conservation laws for the lattice hierarchy and give the corresponding conserved densities and the associated fluxes formulaically. Thus its integrability is further confirmed.
KW - Blaszak-Marciniak four-field lattice hierarchy
KW - Infinitely many conservation laws
KW - Matrix Lax representation
UR - http://www.scopus.com/inward/record.url?scp=0036350606&partnerID=8YFLogxK
U2 - 10.1143/JPSJ.71.1864
DO - 10.1143/JPSJ.71.1864
M3 - Journal article
AN - SCOPUS:0036350606
SN - 0031-9015
VL - 71
SP - 1864
EP - 1869
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 8
ER -