https://doi.org/10.1140/epjp/s13360-022-02643-5
Regular Article
The mixed solutions for soliton–breather–lump in the (3+1)-dimensional nonlinear evolution equation
1
College of Mathematics Science, Inner Mongolia Normal University, 010022, Hohhot, People’s Republic of China
2
Center for Applied Mathematical Science, Inner Mongolia Normal University, 010022, Hohhot, People’s Republic of China
Received:
24
April
2021
Accepted:
22
March
2022
Published online:
7
April
2022
In this paper, a (3+1)-dimensional nonlinear evolution equation is studied. By the methods of the Hirota bilinear method and the long wave limit approach, solutions with regard to this equation have been found as soliton solutions, breather solutions, lump solutions and the mixed solutions. In order to have a better understanding about the nonlinear phenomena of this equation, we display various pictures for all kinds of solutions in this paper.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022