TY - JOUR
T1 - Lump Solutions, Lump-Soliton Interaction Phenomena and Breather-Soliton Solutions to a (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli-Like Equation
AU - Xu , Huiqin
AU - Yun , Yinshan
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 365
EP - 376
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.365
UR - https://global-sci.org/intro/article_detail/jnma/20667.html
KW - Interaction phenomena, Lump solution, (3+1)-dimensional Boiti-Leon-Manna-Pempinelli-like equation.
AB - <p style="text-align: justify;">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.</p>