A homotopy-analysis approach for nonlinear wave-like equations with variable coefficients (Q304887)
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scientific article; zbMATH DE number 6619865
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A homotopy-analysis approach for nonlinear wave-like equations with variable coefficients |
scientific article; zbMATH DE number 6619865 |
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A homotopy-analysis approach for nonlinear wave-like equations with variable coefficients (English)
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26 August 2016
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The paper aims to develop a perturbative expansion for a class of one-dimensional wave equations which generalize the D'Alembert equation, adding to it nonlinearity, a source term, and spatial and temporal dependence of coefficients. The equation is cast in a form in which the D'Alembert wave operator, acting on a perturbation added to the solutions of the usual D'Alembert equation, is equated to a source generated by additional terms in the equation. Then, the solution is constructed as a perturbative series. Applications of this method to some particular equations are elaborated too.
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perturbation theory
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expansion
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D'Alembert equation
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wave operator
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