https://doi.org/10.1140/epjp/s13360-022-02950-x
Regular Article
Auto-Bäcklund transformations, bilinear forms, multiple-soliton, quasi-soliton and hybrid solutions of a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
Received:
12
October
2021
Accepted:
14
June
2022
Published online:
10
August
2022
Electron-positron plasmas appear in the early Universe and many cosmic environments. In this paper, a (3+1)-dimensional modified Korteweg-de Vries-Zakharov-Kuznetsov equation in an electron-positron plasma is studied. Based on the truncated Painlevé expansion, auto-Bäcklund transformations are derived. Via the Hirota method, bilinear forms are derived. Based on the bilinear forms, multiple-soliton solutions are obtained. Via the two- and four-soliton solutions under the complex conjugated transformations, one- and two-quasi-soliton solutions are derived. Via the three-soliton solutions under the complex conjugated transformations, we obtain hybrid solutions composed of a soliton and a quasi-soliton wave. Via the asymptotic analysis, we derive that the interactions between these solitons are elastic.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
