English

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

Analysis of PDEs 2011-11-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1111.5175,
  title  = {Symmetry classification and conservation laws for higher order Camassa-Holm equation},
  author = {Mehdi Nadjafikhah and Vahid Shirvani-Sh},
  journal= {arXiv preprint arXiv:1111.5175},
  year   = {2011}
}

Comments

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