Generalized symmetries and higher-order Conservation laws of the Camassa–Holm equation

Mathematics-Physics

Authors

  • Parastoo Kabi-Nejad Department of Mathematics, Iran University of Science and Technology, Tehran, Iran
  • Mehdi Nadjafikhah Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

DOI:

https://doi.org/10.14331/ijfps.2019.330125

Keywords:

Camassa–Holm equation, Generalized Symmetry, Optimal system, Conservation

Abstract

In the present paper, we derive generalized symmetries of order three of the Camassa–Holm equation by infinite prolongation of a generalized vector field and applying infinitesimal symmetry criterion. In addition, one-dimensional optimal system of Lie subalgebras investigated by applying the adjoint representation. Furthermore, determining equation for multipliers and the 2-dimensional homotopy formula employed to construct higher–order conservation laws for the Camassa–Holm equation.

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Author Biographies

Parastoo Kabi-Nejad, Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

Mehdi Nadjafikhah, Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

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Published

2019-06-30

Issue

Vol. 9 No. 2 (2019): IJFPS

Section

ORIGINAL ARTICLES

License

Copyright (c) 2020 International Journal of Fundamental Physical Science

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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