Symmetry analysis and conservation laws for higher order CamassaHolm equation

Author(s):

Vahid Shirvani * , Mehdi Nadjafikhah

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In this paper, Lie symmetry group method is applied to study for the higher order Camassa-Holm equation. Complete analysis of symmetries and nonclassical symmetries is discussed. Furthermore, optimal system, preliminary classification of its group invariant solutions and symmetry reduction are investigated. Finally conservation laws for the higher order Camassa-Holm equation which conserved quantities arise from multipliers by using homotopy operator are presented.
Keywords:

Lie symmetry , Higher order Camassa-Holm equation , Optimal system , Similarity solutions , Conservation laws

Language:
English
Published:
Computational Methods for Differential Equations, Volume:8 Issue: 2, Spring 2020
Pages:
364 to 372
https://magiran.com/p2125135  
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