Generalized symmetries and higher-order Conservation laws of the Camassa–Holm equation
Mathematics-Physics
DOI:
https://doi.org/10.14331/ijfps.2019.330125Keywords:
Camassa–Holm equation, Generalized Symmetry, Optimal system, ConservationAbstract
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
Published
2019-06-30
How to Cite
Kabi-Nejad, P. ., & Nadjafikhah, M. . (2019). Generalized symmetries and higher-order Conservation laws of the Camassa–Holm equation: Mathematics-Physics. International Journal of Fundamental Physical Sciences, 9(2), 20-25. https://doi.org/10.14331/ijfps.2019.330125
Issue
Section
ORIGINAL ARTICLES
License
Copyright (c) 2020 International Journal of Fundamental Physical Science
This work is licensed under a Creative Commons Attribution 4.0 International License.
Born 12 May 1977
