Symmetry analysis and conservation laws for higher order CamassaHolm equation

Document Type : Research Paper

Authors

1 Department of Mathematics, Eslamabad-E-Gharb Branch, Islamic Azad University, Eslamabad-E-Gharb, Iran.

2 Department of Pure Mathematics, School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846-13114, Iran.

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

Computational Methods for Differential Equations
Volume 8, Issue 2
April 2020
Pages 364-372

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History

  • Receive Date: 28 April 2018
  • Revise Date: 22 December 2018
  • Accept Date: 01 January 2019

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