https://doi.org/10.1140/epjp/s13360-020-00629-9
Regular Article
Three-wave interactions in a more general (2+1)-dimensional Boussinesq equation
College of Mathematics Science, Inner Mongolia Normal University, 010022, Hohhot, People’s Republic of China
Received:
30
May
2020
Accepted:
23
July
2020
Published online:
1
August
2020
A more general (2+1)-dimensional Boussinesq equation with five arbitrary constants is studied. Multi-soliton solution, multi-breather solution, higher-order lump solution are obtained by employing the Hirota bilinear method and the long-wave limit approach. By selecting suitable value of parameters, the interaction mixed solutions are constructed, which are composed of three waves for lumps, breathers and solitons. Some novel dynamical processes are shown by figures.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2020