Conservation Laws of Discrete Korteweg-de Vries Equation

Details Conservation Laws of Discrete Korteweg-de Vries Equation Conservation Laws of Discrete Korteweg-de Vries Equation

2005-12-09

arxiv.org/abs/nlin/0512021v1

SIGMA 1 (2005), 026, 6 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.026

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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