@Article{JNMA-3-3, author = {Xu, Huiqin and Yun, Yinshan}, title = {Lump Solutions, Lump-Soliton Interaction Phenomena and Breather-Soliton Solutions to a (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli-Like Equation}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {3}, number = {3}, pages = {365--376}, abstract = {

The (3+1)-dimensional Boiti-Leon-Manna-Pempinelli-like equation (BLMP-like equation) is introduced by the generalized bilinear operators $D_p$ associated with $p = 3.$ The lump solutions, lump-soliton interaction phenomena and breather-soliton solutions are discussed to the (3+1)-dimensional BLMP-like equation based on the generalized bilinear method with symbolic computation system Mathematica. In order to observe the behavior of those solutions, we fix the value of $z,$ then give the 3D-graphs of some solutions at different times. We find a lump solution moved in oblique direction; a lump-soliton interaction phenomenon is appeared and disappeared along with the time. We also see a kink-breather soliton moved in oblique direction.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2021.365}, url = {https://global-sci.com/article/87977/lump-solutions-lump-soliton-interaction-phenomena-and-breather-soliton-solutions-to-a-31-dimensional-boiti-leon-manna-pempinelli-like-equation} }