Matched solutions of nonlinear forced equations and Rossby vortices (Q1073660)
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scientific article; zbMATH DE number 3945645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Matched solutions of nonlinear forced equations and Rossby vortices |
scientific article; zbMATH DE number 3945645 |
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Matched solutions of nonlinear forced equations and Rossby vortices (English)
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1986
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An analytical method for solving nonlinear equations with local forcing is proposed. It is shown in an example that a nonlinear forced equation may have many solutions, which generally do not turn to the solution of a linear equation in the limit of the nonlinear term becoming small. The solution of the Korteweg-de Vries equation with forcing is applied to the problem of topographic Rossby vortices in shear flow. Solutions of other nonlinear equations with forcing are also obtained.
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non-uniqueness
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lack of uniformity
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analytical method
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nonlinear equations with local forcing
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Korteweg-de Vries equation
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topographic Rossby vortices in shear flow
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