Symmetry classification of KdV-type nonlinear evolution equations
作者： F Güngör , VI Lahno , RZ Zhdanov , None
DOI: 10.1063/1.1737811
关键词: Pure mathematics 、 Lie theory 、 Killing form 、 Non-associative algebra 、 Lie conformal algebra 、 Knizhnik–Zamolodchikov equations 、 Algebra 、 Mathematics 、 Lie group 、 Adjoint representation of a Lie algebra 、 Representation of a Lie group
摘要: Group classification of a class third-order nonlinear evolution equations generalizing KdV and mKdV is performed. It shown that there are two admitting simple Lie algebras dimension three. Next, we prove exist only four invariant with respect to having nontrivial Levi factors six. Our analysis shows no under which semi-direct sums factor radical. Making use these results three, nine, thirty-eight, fifty-two inequivalent KdV-type one-, two-, three-, four-dimensional solvable algebras, respectively. Finally, perform complete group the most general linear equation.
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