Infinite-dimensional symmetry group, Kac–Moody–Virasoro algebras and integrability of Kac–Wakimoto equation
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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$\grave{e}$ property. One- and two-dimensional classifications of infinite-dimensional symmetry algebra are alsogiven.
Volume 97, 2023
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