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

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 Painleve property. One- and two-dimensional classifications of infinite-dimensional symmetry algebra are also given.

Automated summary

This study examines the integrability of an eighth-order equation in (3 + 1) dimension, revealing that its symmetry group is infinite-dimensional and confirming the presence of a Virasoro-like structure. It is demonstrated that the equation does not possess the Painleve property, and provides one- and two-dimensional classifications for the infinite-dimensional symmetry algebra.