https://doi.org/10.1140/epjp/s13360-021-01588-5
Regular Article
Soliton, multiple-lump and hybrid solutions of a (2+1)-dimensional generalized Hirota-Satsuma-Ito equation for the water waves
State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, 100876, Beijing, China
Received:
27
November
2020
Accepted:
18
May
2021
Published online:
4
June
2021
In this paper, a (2+1)-dimensional generalized Hirota-Satsuma-Ito equation for the water waves is investigated. We obtain the N-soliton solutions according to the bilinear form. The M-lump solutions are obtained based on the N-soliton solutions, where N and M are the positive integers. We take 
and 3 to get the two- and three-lump solutions. Besides, three types of the hybrid solutions are discussed graphically, which contain the hybrid solutions between the one-lump wave and two-kink solitons, between the two-lump wave and one-kink soliton, and between the one-lump wave and breather wave.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
