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Conservation Laws of Discrete Korteweg-de Vries Equation

Olexandr G. Rasin·Peter E. Hydon
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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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Olexandr G. Rasin, Peter E. Hydon. 2005-12-09. Conservation Laws of Discrete Korteweg-de Vries Equation. https://doi.org/10.3842/sigma.2005.026

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