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Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations

✍ Scribed by Ünal Göktaş; Willy Hereman

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
649 KB
Volume
24
Category
Article
ISSN
0747-7171

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✦ Synopsis

A new algorithm for the symbolic computation of polynomial conserved densities for systems of nonlinear evolution equations is presented. The algorithm is implemented in Mathematica. The program condens.m automatically carries out the lengthy symbolic computations for the construction of conserved densities. The code is tested on several well-known partial differential equations from soliton theory. For systems with parameters, condens.m can be used to determine the conditions on these parameters so that a sequence of conserved densities might exist. The existence of a large number of conservation laws is a predictor for integrability of the system.

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