Lamé function and multi-order exact solutions to nonlinear evolution equations (Q1432977)
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scientific article; zbMATH DE number 2077274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lamé function and multi-order exact solutions to nonlinear evolution equations |
scientific article; zbMATH DE number 2077274 |
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Lamé function and multi-order exact solutions to nonlinear evolution equations (English)
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1 July 2004
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The Lamé equation and Lamé functions are applied to solve nonlinear evolution equations. When the perturbation method and two kinds of Lamé functions \(L_3(x)\) and \(L_2(x)\) are considered, then the multi-order solutions are obtained for these nonlinear evolution equations. The results obtained in this paper are very useful for nonlinear instability analysis of nonlinear coherent structures.
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Lamé equation
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nonlinear instability
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coherent structures
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