Advances in Difference Equations, cilt.2, no.11, ss.1-19, 2021 (SCI İndekslerine Giren Dergi)
KABUL EDİLDİ
The Hirota bilinear method is employed
for searching the localized waves, lump solitons, and solutions between lumps
and rogue waves for the fractional generalized
Calogero-Bogoyavlenskii-Schiff_-Bogoyavlensky- Konopelchenko (CBS-BK) equation.
We probe three
cases including lump (combination of two positive functions as polynomial),
lump-kink (combination of two positive functions as polynomial and exponential
function) called the interaction between a lump and one line soliton, and lump-soliton
(combination of two positive functions as polynomial and hyperbolic cos
function) called the interaction between a lump and two-line solitons. At the
critical point, the second-order derivative and the Hessian matrix for only one
point will be investigated and the lump solution has one maximum value. The
moving path of the lump solution and also, the moving
velocity and the
maximum amplitude will be obtained. The graphs for various fractional order _ are
plotted to contain 3D plot, contour plot, density plot, and 2D plot. The
physical phenomena of this gained lump and its interaction soliton solutions are
analyzed and indicated in _gures by selecting the suitable values. That will be
extensively used to report many attractive physical phenomena in the _elds of fluid dynamics, classical mechanics, physics, and so on.