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

2011/11/22 by Mehdi Nadjafikhah, Nadjafikhah, Mehdi, Vahid Shirvani-Sh +1
Mathematics · Physics and Astronomy · #53C10 #Algebraic structures and combinatorial models #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math.AP #msc:53C10

paper · pdf · doi:10.48550/arxiv.1111.5175

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

arxiv created 2011/11/22 · openalex publication_date 2011/11/22 · arxiv updated 2011/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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