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A generating scheme for conservation laws of discrete zero curvature equations and its application
Journal article   Open access  Peer reviewed

A generating scheme for conservation laws of discrete zero curvature equations and its application

Wen-Xiu Ma
Computers & mathematics with applications (1987), Vol.78(10), pp.3422-3428
15/11/2019
DOI: https://doi.org/10.1016/j.camwa.2019.05.012

Abstract

Conservation law Integrable lattice equation Matrix spectral problem
A generating scheme for conservation laws of discrete integrable equations, arising as discrete zero curvature equations, is presented from pairs of associated matrix spectral problems. An illustrative application to the Volterra lattice equation is made through a pair of 2 × 2 matrix spectral problems. The general theory is not limited to 2×2 matrix spectral problems but for arbitrary-order matrix spectral problems.
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https://doi.org/10.1016/j.camwa.2019.05.012View
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