Page 154 - IJOCTA-15-2

Effect of diffusion parameters on traveling wave solutions of singular perturbed boussinesq equation

Figure 5. 3-2 dimension and contour graphs of the
Figure 3. 3-2 dimension and contour graphs of the equation (21) for v = 1, k = 0.2, t = 1, a = e, m = 1
equation (17) for α 0 = 0.5, k = 0.2, κ = 0.1, a = e

4. Results and discussion

In this study, which brings physics and mathe-
matics together and illuminates the fundamental
mechanisms of fluid mechanics, traveling wave
solutions of the SPBE have been successfully
generated. These solutions are obtained sub-
ject to certain conditions and include parameters
of position and time, as well as parameters that
reveal different features of the wave behavior.
These parameters are expected to provide a new
perspective on the analytical study of wave be-
havior in physical systems and contribute to the
understanding of complex phenomena. The so-
lutions presented in this work will serve as an
important tool in many application areas, espe-
cially in wave mechanics, quantum physics and
fluid dynamics. These solutions can be used as
a powerful mathematical tool to understand and
predict wave behavior in a given physical system.
The solutions presented are in exponential form
and in case “a=e” is chosen specifically, we can
conclude that the transformation of solutions in
hyperbolic form is a more general solution than
the solutions existing in the literature. This sit-
uation provides important information about the
Figure 4. 3-2 dimension and contour graphs of the
efficiency, reliability and applicability of the ap-
equation (3) for α 0 = 0.5, k = 0.2, κ = 0.1, a = e,
plied mathematical method.
v=0.2
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