Multi-wave, breather wave, and interaction solutions of the Hirota–Satsuma–Ito equation
College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi, 330004, China
2 Institute of Artificial Intelligence, Nanchang Institute of Science and Technology, Jiangxi, 330108, China
* e-mail: firstname.lastname@example.org
Accepted: 12 October 2019
Published online: 7 January 2020
Under investigation is a (2+1)-dimensional generalized Hirota–Satsuma–Ito (gHSI) equation. Multi-wave solutions are presented using the three-wave method. Breather wave solutions are derived based on the homoclinic breather approach. Interaction solutions between lump and two solitary wave solutions are constructed via Hirota direct method. Through giving some special values to the parameters, dynamical behaviors of the obtained solutions are demonstrated in some 3D and contour plots.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020