Conservation Laws of Discrete Korteweg-de Vries Equation
Olexandr G. Rasin, Peter E. Hydon
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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