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Perturbative Symmetry Approach

Exactly Solvable and Integrable Systems 2009-11-07 v1

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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Cite

@article{arxiv.nlin/0203055,
  title  = {Perturbative Symmetry Approach},
  author = {A. V. Mikhailov and V. S. Novikov},
  journal= {arXiv preprint arXiv:nlin/0203055},
  year   = {2009}
}

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16 pages