Bilinear Bäcklund transformations and explicit solutions of equation in \((3+1)\)-dimension (Q2224160)
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| Language | Label | Description | Also known as |
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| English | Bilinear Bäcklund transformations and explicit solutions of equation in \((3+1)\)-dimension |
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Bilinear Bäcklund transformations and explicit solutions of equation in \((3+1)\)-dimension (English)
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3 February 2021
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Summary: Based on Hirota's technique we have obtained two forms of bilinear Bäcklund transformations for \((3+1)\)-dimensional generalised Kadomtsev-Petviashvili equation which are not reported before. The first form involves five arbitrary parameters and second form involves eight arbitrary parameters. In addition to this, the exponential and stationary rational wave solutions are also obtained by proposed bilinear Bäcklund transformations.
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bilinear Bäcklund transformations
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Hirota's bilinear method
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bilinear form
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Kadomtsev-Petviashvili equation
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rational wave solutions
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