Generalized symmetries and higher order conservation laws of the camassa-Holm equation

  • Parastoo Kabi-Nejad Mathematics Department, Iran University of Science and Technology, Tehran, Iran
  • Mehdi Nadjafikhah Mathematics Department, Iran University of Science and Technology, Tehran, Iran
Keywords: Camassa-Holm equation, Generalized Symmetry, Optimal System, Conservation law

Abstract

In the present paper, we derive generalized symmetries of order three of the Camassa–Holm equation. In addition, one–dimensional optimal system of Lie subalgebras are investigated. Furthermore, the 2-dimensional homotopy formula is employed to construct higher–order conservation laws for the Camassa–Holm equation.

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References

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Published
2019-06-21
How to Cite
Kabi-Nejad, P., & Nadjafikhah, M. (2019). Generalized symmetries and higher order conservation laws of the camassa-Holm equation. International Journal of Fundamental Physical Sciences (IJFPS), 9(2), 20-25. https://doi.org/10.14331/ijfps.2019.330125
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Articles