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Symmetry classification of third-order nonlinear evolution equations. Part II: Solvable algebras (2107.06524v1)
Published 14 Jul 2021 in math.RT, math-ph, and math.MP
Abstract: We give a classification of all third-order nonlinear evolution equations which admit solvable Lie symmetry algebras $\mathsf{A}$ and which are not linearized. We have found that there are 48 types of equations for $\dim\mathsf{A}=3$, 88 types for $\dim\mathsf{A}=4$ and there are 55 equations for $\dim\mathsf{A}=5$.