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Perturbative Symmetry Approach

A. V. Mikhailov, V. S. Novikov

nlin.SIarXiv:nlin/0203055

Abstract

Perturbative Symmetry Approach is formulated in symbolic representation. Easily verifiable integrability conditions of a given equation are constructed in the frame of the approach. Generalisation for the case of non-local and non-evolution equations is disscused. Application of the theory to the Benjamin-Ono and Camassa-Holm type equations is considered.

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