TY - JOUR
T1 - Nonisospectral negative Volterra flows and mixed Volterra flows
T2 - Lax pairs, infinitely many conservation laws and integrable time discretization
AU - Zhu, Zuo Nong
AU - Tam, Hon Wah
N1 - Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2004/3/5
Y1 - 2004/3/5
N2 - In this paper, by means of the discrete zero curvature representation, nonisospectral negative Volterra flows and mixed Volterra flows are proposed. By means of solving corresponding discrete spectral equations, we demonstrate the existence of infinitely many conservation laws for the two nonisospectral flows and obtain the formulae of the corresponding conserved densities and associated fluxes. Integrable time discretizations for several isospectral equations of the two flows are also presented.
AB - In this paper, by means of the discrete zero curvature representation, nonisospectral negative Volterra flows and mixed Volterra flows are proposed. By means of solving corresponding discrete spectral equations, we demonstrate the existence of infinitely many conservation laws for the two nonisospectral flows and obtain the formulae of the corresponding conserved densities and associated fluxes. Integrable time discretizations for several isospectral equations of the two flows are also presented.
UR - http://www.scopus.com/inward/record.url?scp=1642388658&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/37/9/009
DO - 10.1088/0305-4470/37/9/009
M3 - Journal article
AN - SCOPUS:1642388658
SN - 0305-4470
VL - 37
SP - 3175
EP - 3187
JO - Journal of Physics A: Mathematical and General
JF - Journal of Physics A: Mathematical and General
IS - 9
ER -