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 Dp 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.