Modern Physics Letters B,
Journal Year:
2024,
Volume and Issue:
unknown
Published: Sept. 16, 2024
This
paper
thoroughly
investigates
the
integrable
Akbota
equation,
a
Heisenberg
ferromagnet-type
equation
that
plays
crucial
role
in
exploring
curve
and
surface
geometry.
The
[Formula:
see
text]-model
expansion
method,
known
for
its
proficiency
reliability,
is
applied
to
generate
generalized
solitonic
wave
profiles,
spanning
diverse
range
of
soliton
families.
Prior
this
study,
there
no
existing
study
which
technique
utilized
ensured
existence
solution
via
development
conditions.
On
other
hand,
method
provided
with
Jacobi
elliptic
function-based
solutions
limiting
cases.
analytical
strategy
presented
notable
advantage
by
specifying
constraint
each
solution,
ensuring
existence.
Consequently,
structures
exhibit
various
attributes,
including
function,
periodicity,
brightness,
dark-brightness,
singularity,
exponential,
trigonometry,
rational
structures.
These
characteristics
emerge
under
previously
unexplored
results
are
visually
depicted
through
2D,
3D,
contour
plots,
providing
clear
illustration
behavioral
responses
pulse
propagation
allowing
inference
fitting
values
system
parameters.
visualization
offers
valuable
insights
into
dynamics
derived
from
equation.
