Breather wave, lump-periodic solutions and some other interaction phenomena to the Caudrey–Dodd–Gibbon equation
Department of Computer Engineering, Biruni University, Istanbul, Turkey
2 Deparment of Mahematics, Faculty of Science, Federal University, Dutse, Jigawa, Nigeria
3 Department of Mathematics, Science Faculty, Firat University Turkey, Elaziǧ, Turkey
Accepted: 27 June 2020
Published online: 12 July 2020
Hirota’s bilinear method is used in this paper to obtain some breather wave and lumps solutions to the Caudrey–Dodd–Gibbon equation through the symbolic Mathematica 12 package. This equation is converted into its potential version and then the transformation of Cole–Hopf is implemented on the equation to produce its bilinear form. We then formally derive some novel solutions such as breather-wave, lump-periodic and some interaction solutions. The details explanation of the acquired solutions are also illustrated graphically in order to show the physical features of the solutions.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020