Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity
We present a reciprocal transformation that links the Geng-Xue equation to a particular reduction of the first negative flow of the Boussinesq hierarchy. We discuss two reductions of the reciprocal transformation for the Degasperis-Procesi and Novikov equations, respectively. With the aid of the Dar...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211722 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity. Nianhua Li and Q.P. Liu. SIGMA 18 (2022), 066, 14 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We present a reciprocal transformation that links the Geng-Xue equation to a particular reduction of the first negative flow of the Boussinesq hierarchy. We discuss two reductions of the reciprocal transformation for the Degasperis-Procesi and Novikov equations, respectively. With the aid of the Darboux transformation and the reciprocal transformation, we obtain a compact parametric representation for the smooth soliton solutions, such as multi-kink solutions of the Geng-Xue equation.
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| ISSN: | 1815-0659 |