A new auto-Bäcklund transformation of the KdV equation with general variable coefficients and its application (Q1724462)
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scientific article; zbMATH DE number 7022670
| Language | Label | Description | Also known as |
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| English | A new auto-Bäcklund transformation of the KdV equation with general variable coefficients and its application |
scientific article; zbMATH DE number 7022670 |
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A new auto-Bäcklund transformation of the KdV equation with general variable coefficients and its application (English)
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14 February 2019
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Summary: First, by improving some key steps in the homogeneous balance method, a new auto-Bäcklund transformation (BT) to the KdV equation with general variable coefficients is derived. The new auto-BT in this paper does not require the coefficients of the equation to be linearly dependent. Then, based on the new auto-BT in which there is only one quadratic homogeneity equation to be solved, an exact soliton-like solution containing 2-solitary wave is given.
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