Lump Solutions, Lump-Soliton Interaction Phenomena and Breather-Soliton Solutions to a (3+1)-Dimensional Boiti-Leon-Manna-Pempinelli-Like Equation
Year: 2021
Author: Huiqin Xu, Yinshan Yun
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.365
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 365–376
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Interaction phenomena Lump solution (3+1)-dimensional Boiti-Leon-Manna-Pempinelli-like equation.