Bilinear representations and lump-type waves for a fifth-order nonlinear wave equation
Department of Mathematics, Kunming University of Science and Technology, 650500, Kunming, China
* e-mail: firstname.lastname@example.org
Accepted: 24 July 2019
Published online: 13 November 2019
In this work, we study a fifth-order nonlinear wave equation. By using the proper transformation and auxiliary parameter, two different bilinear representations are presented. We also derive a bilinear Bäcklund transformation, a Lax pair and lump-type wave solutions. The dynamics of lump-type wave solutions are investigated and exhibited mathematically and graphically. We further investigate the interaction between a kink-type solitary wave and a lump-type wave. Absorb and emit interactions between two types of solitary wave solutions are presented.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2019