Symmetry structure of integrable non-evolutionary equations

Details Symmetry structure of integrable non-evolutionary equations Symmetry structure of integrable non-evolutionary equations

2007-02-23

arxiv.org/abs/nlin/0702045v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Submitted to Studies in Applied Mathematics

Scientific paper

We study a class of evolutionary partial differential systems with two components related to second order (in time) non-evolutionary equations of odd order in spatial variable. We develop the formal diagonalisation method in symbolic representation, which enables us to derive an explicit set of necessary conditions of existence of higher symmetries. Using these conditions we globally classify all such homogeneous integrable systems, i.e. systems which possess a hierarchy of infinitely many higher symmetries.

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