Bilinear form and two Bäcklund transformations for the \((3+1)\)-dimensional Jimbo-Miwa equation (Q1668883)
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scientific article; zbMATH DE number 6929054
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bilinear form and two Bäcklund transformations for the \((3+1)\)-dimensional Jimbo-Miwa equation |
scientific article; zbMATH DE number 6929054 |
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Bilinear form and two Bäcklund transformations for the \((3+1)\)-dimensional Jimbo-Miwa equation (English)
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29 August 2018
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Summary: With Bell polynomials and symbolic computation, this paper investigates the \((3+1)\)-dimensional Jimbo-Miwa equation, which is one of the equations in the Kadomtsev-Petviashvili hierarchy of integrable systems. We derive a bilinear form and construct a bilinear Bäcklund transformation (BT) for the \((3+1)\)-dimensional Jimbo-Miwa equation, by virtue of which the soliton solutions are obtained. Bell-polynomial-typed BT is also constructed and cast into the bilinear BT.
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