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

Parastoo Kabi-Nejad, Mehdi Nadjafikhah

doi:10.14331/ijfps.2019.330125

IJFPS · Final journal article

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

Author(s): Parastoo Kabi-Nejad, Mehdi Nadjafikhah

Journal: International Journal of Fundamental Physical Sciences Year: 2019 Volume: 9 Issue: 2 Pages: 20-25 ISSN: 2231-8186

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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.

Keywords

Camassa–Holm equationGeneralized SymmetryOptimal systemConservation

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