@Article{EAJAM-9-4,
author = {Guo, Ding and Tian, Shou-Fu and Zhang, Tian-Tian},
title = {Dynamics of Lump Solutions, Rogue Wave Solutions and Traveling Wave Solutions for a (3 + 1)-Dimensional VC-BKP Equation},
journal = {East Asian Journal on Applied Mathematics},
year = {2019},
volume = {9},
number = {4},
pages = {780--796},
abstract = {<p style="text-align: justify;">The (3 + 1)-dimensional variable-coefficient B-type Kadomtsev-Petviashvili
equation is studied by using the Hirota bilinear method and the graphical representations
of the solutions. Breather, lump and rogue wave solutions are obtained and the influence
of the parameter choice is analysed. Dynamical behavior of periodic solutions is visually
shown in different planes. The rogue waves are determined and localised in time by
a long wave limit of a breather with indefinitely large periods. In three dimensions
the breathers have different dynamics in different planes. The traveling wave solutions
are constructed by the Bäcklund transformation. The traveling wave method is used
in construction of exact bright-dark soliton solutions represented by hyperbolic secant
and tangent functions. The corresponding 3$D$ figures show various properties of the
solutions. The results can be used to demonstrate the interactions of shallow water
waves and the ship traffic on the surface.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.310319.040619},
url = {https://global-sci.com/article/82631/dynamics-of-lump-solutions-rogue-wave-solutions-and-traveling-wave-solutions-for-a-3-1-dimensional-vc-bkp-equation}
}