Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation (Q1109996)
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scientific article; zbMATH DE number 4071546
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation |
scientific article; zbMATH DE number 4071546 |
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Solution of a nonisospectral and variable coefficient Korteweg-de Vries equation (English)
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1987
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A new type of KdV equation with a nonisospectral Lax pair as well as variable coefficients is introduced. Its Lax pair is shown to be invariant under the Crum transformation. This leads to a Bäcklund transformation for the KdV equation and, hence, a method for solutions via an associated nonisospectral variable coefficients MKdV equation. Three generations of solutions are given. The 1-soliton solution shares the novel phenomenology associated with the boomeron, trappon, and zoomeron of Calogero and Degasperis.
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Korteweg-de Vries equation
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Lax pair
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variable coefficients
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Bäcklund transformation
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nonisospectral variable coefficients
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soliton
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