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The subalgebras of the invariance algebra of equation 2u+λ(u 2 1 +u 2 2 +u 2 3 ) 1/2 u 0 = 0 are described with respect to the conjugation. Reduction of this equation to a differential equation in a less number of independent variables is implemented by means of every subalgebra from the obtained list.doi:10.2991/jnmp.19184.108.40.206 fatcat:vthzuglov5fn5h55yf26xkjbuq