Comment on “Bilinear form, solitons, breathers and lumps of a -dimensional generalized Konopelchenko–Dubrovsky–Kaup–Kupershmidt equation in ocean dynamics, fluid mechanics and plasma physics” [Eur. Phys. J. Plus (2020) 135:272]
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
Accepted: 15 June 2020
Published online: 6 August 2020
Of current interest, the paper commented [i.e., Eur. Phys. J. Plus (2020) 135:272] has investigated the -dimensional generalized Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation in ocean dynamics, fluid mechanics and plasma physics. However, the story that the paper commented has caused could be made more complete. Hereby, for the same equation, via the Bell polynomials, we work out the same bilinear form as that in the paper commented, but the ways of derivation are different. With symbolic computation, we also construct two auto-Bäcklund transformations for the same equation with some solitons. Our results are with respect to the amplitude or elevation of the relevant wave in ocean dynamics, fluid mechanics and plasma physics.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020