Smooth Multisoliton Solutions of a 2-Component Peakon System with Cubic Nonlinearity

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Authors: Li, Nianhua, Liu, Q.P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211722
• 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

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...