Bäcklund transformation and quasi-periodic solutions for a variable-coefficient integrable equation (Q1724098)
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scientific article; zbMATH DE number 7022365
| Language | Label | Description | Also known as |
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| English | Bäcklund transformation and quasi-periodic solutions for a variable-coefficient integrable equation |
scientific article; zbMATH DE number 7022365 |
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Bäcklund transformation and quasi-periodic solutions for a variable-coefficient integrable equation (English)
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14 February 2019
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Summary: Binary Bell polynomials are applied to construct bilinear formalism, bilinear Bäcklund transformation, Lax pair, and infinite conservation laws of the generalized variable-coefficient fifth-order Korteweg-de Vries equation. In the meantime, quasi-periodic wave solutions for the equation are obtained by using the Riemann theta function. The asymptotic properties of one-periodic wave solution and two-periodic wave solutions are also established, respectively.
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