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Conservation laws of discrete Korteweg-de Vries equation

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2005) 1
DOI: 10.3842/SIGMA.2005.026
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Abstract

All three-point and five-point conservation laws for the discrete Korteweg-de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method uses computer algebra intensively, because the determining functional equation is quite complicated.

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Rasin, O. G., & Hydon, P. E. (2005). Conservation laws of discrete Korteweg-de Vries equation. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 1. https://doi.org/10.3842/SIGMA.2005.026

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