Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations

Details Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations Symbolic Computation of Conserved Densities for Systems of Nonlinear Evolution Equations

1997-02-27

arxiv.org/abs/solv-int/9702008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

31 pages, Latex, uses jsc.sty, submitted to J. Symbolic Computation

Scientific paper

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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