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

Parastoo Kabi-Nejad; Mehdi Nadjafikhah

doi:10.14331/ijfps.2019.330125

Authors

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

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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References

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