Maximal subalgebras of rank n-1 of the algebra AP(1,n) and reduction of nonlinear wave equations. I (Q807855)
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scientific article; zbMATH DE number 4208671
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal subalgebras of rank n-1 of the algebra AP(1,n) and reduction of nonlinear wave equations. I |
scientific article; zbMATH DE number 4208671 |
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Maximal subalgebras of rank n-1 of the algebra AP(1,n) and reduction of nonlinear wave equations. I (English)
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1990
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The concept of the canonical decomposition for an arbitrary subalgebra of the algebra AO(1,n) is introduced. By the canonical decomposition all maximal subalgebras with rank n-1 of the algebra AP(1,n) satisfying the condition \(L\cap V=(P_ 1,...,P_ n)\) can be expressed. The purpose of this paper is to find the exact solution to a nonlinear wave equation by group methods. [For part II, see the following review].
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maximal subalgebras
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nonlinear wave equation
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group methods
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