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Infinite-dimensional symmetry group, Kac–Moody–Virasoro algebras and integrability of Kac–Wakimoto equation

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Abstract

An eighth-order equation in \((3+1)\) dimension is studied for its integrability. Its symmetry group is shown to be infinite-dimensional and is checked for Virasoro-like structure. The equation is shown to have no Painlev\(\acute{\mathrm{e}}\) property. One- and two-dimensional classifications of infinite-dimensional symmetry algebra are also given.

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Authors and Affiliations

  1. Yadavindra Department of Sciences, Punjabi University Guru Kashi Campus, Talwandi Sabo, 151 302, India

    Manjit Singh

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  1. Manjit Singh
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Singh, M. Infinite-dimensional symmetry group, Kac–Moody–Virasoro algebras and integrability of Kac–Wakimoto equation. Pramana - J Phys 96, 200 (2022). https://doi.org/10.1007/s12043-022-02445-5

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  • DOI: https://doi.org/10.1007/s12043-022-02445-5

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