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Effect of diffusion parameters on traveling wave solutions of singular perturbed boussinesq equation
the diffusion coefficient and the parameter asso- Writing – original draft: Asıf Yokus
ciated with the wave velocity are physically ana- Writing – review & editing: All authors
lyzed. It is concluded that the analytical solution
of the model can provide a deeper understanding Availability of data
of the motion of waves and the behavior of flu- There are no data associated with this manu-
ids. It is envisaged that the complex-valued so- script. Any inquiries regarding data availability
lutions produced in this study may shed light on should be directed to the authors.
phase-related propagation phenomena in the fu-
ture. 2D shapes, created by giving physical mean- References
ing to the constants in the solutions, provide de-
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Acknowledgments proximate symmetry and exact solutions of the
singularly perturbed Boussinesq equation. Com-
The authors would like to thank the anonymous mun Nonlinear Sci Numer Simul. 2017;53:1-9.
reviewers for their valuable comments. This study 7. Daripa P, Hua W. A numerical study of an ill-
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Funding
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The authors declare that they have no conflict of 12. Ershkov S, Burmasheva N, Leshchenko DD,
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beck–Boussinesq Equations for the Description
Author contributions of Shear Thermal Diffusion of Newtonian Fluid
Flows. Symmetry 2023;15(9):1730.
Conceptualization: Asıf Yokus, Mehmet Hakan
13. Barletta A, Celli M, Rees DAS. On the use and
Ekici
misuse of the Oberbeck–Boussinesq approxima-
Formal analysis: H¨ulya Durur tion. Physics 2023;5(1):298-309.
Investigation: Asıf Yokus, H¨ulya Durur 14. Zeytounian RK. Asymptotic modeling of atmo-
Methodology: Asıf Yokus, Mehmet Hakan Ekici spheric flows. Springer Science & Business Media.
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