On some symmetries and invariant solutions of the equations of the dynamics of a non-Newtonian liquid. I (Q1293627)
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scientific article; zbMATH DE number 1309954
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some symmetries and invariant solutions of the equations of the dynamics of a non-Newtonian liquid. I |
scientific article; zbMATH DE number 1309954 |
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On some symmetries and invariant solutions of the equations of the dynamics of a non-Newtonian liquid. I (English)
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19 March 2000
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Equations of the form \(u_t=(u^{n+2}u_x^n)_x+\varepsilon F(t,x,u,u^nu^n_x)\) are considered in this paper. The authors represent approximate symmetries for some of that equations. Conditions for these symmetries to be exact are investigated. Wide classes of equations of the indicated form admitting algebras of exact point symmetries are found.
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Lie symmetry
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approximate symmetry
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algebras of exact point symmetries
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