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

2020/12/30 by Manjit Singh, Singh, Manjit
Mathematics · Physics and Astronomy · #17B65 #17B67 #17B68 #70H07 #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2012.15069

openalex publication_date 2020/12/30 · openalex created_date 2022/10/12 · openalex updated_date 2026/07/28

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 not to have Painlev\acute\rm e property. One and two-dimensional classifications of infinite-dimensional symmetry algebra is also given.

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