Computation of densities and fluxes of nonlinear differential-difference equations

被引：22

作者：

Hickman, MS

Hereman, WA

机构：

[1] Univ Canterbury, Dept Math & Stat, Christchurch 1, New Zealand

[2] Colorado Sch Mines, Dept Math & Comp Sci, Golden, CO 80401 USA

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2003年 / 459卷 / 2039期

关键词：

conserved densities; DDEs; semi-discrete lattices; lattice; nonlinear chains; Miura map;

D O I：

10.1098/rspa.2003.1151

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Direct methods to find conserved densities and fluxes of differential-difference equations are presented and illustrated for the Kac-van Moerbeke (KvM) and modified Volterra lattices. A Miura map which connects both lattices is explicitly constructed based on homotopic deformation. The map is used recursively to compute conserved densities of the KvM lattice. The algorithms presented could be implemented in computer algebra systems and could be used to investigate the integrability of semi-discrete lattices.

引用

页码：2705 / 2729

页数：25

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