Symmetry classification and conservation laws for higher order Camassa-Holm equation

Mathematics – Analysis of PDEs

Scientific paper

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12 pages. arXiv admin note: substantial text overlap with arXiv:1105.0625

Scientific paper

Lie symmetry group method is applied to study for the higher order
Camassa-Holm equation. The symmetry group and its optimal system are given.
Furthermore, preliminary classification of its group invariant solutions,
symmetry reduction and nonclassical symmetries are investigated. Finally
conservation laws for the higher order Camassa-Holm equation are presented.

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