Singular Soliton to the Hyperbolic Generalization of the Burgers Model

Computer Science & Engineering
Proceedings of the 8th International Youth Science Forum "Litteris et Artibus", November 22–24, 2018, Lviv: Lviv Polytechnic National University, 2018, pp. 31–33


First and Last Name Academic degree E-mail Affiliation
Faruk Düşünceli Ph.D. farukdusunceli [at] Faculty of Architecture and Engineering, Mardin Artuklu University
Mardin, Turkey
Haci Mehmet Baskonus Ph.D. hmbaskonus [at] Department Computer Engineering, University of Munzur
Tunceli, Turkey
Hasan Bulut Ph.D. hbulut [at] Department Mathematics, Firat University
Elazig, Turkey
Alaattin Esen Ph.D. alaattin.esen [at] Department Mathematics, Inönü University
Malatya, Turkey

I and my co-authors (if any) authorize the use of the Paper in accordance with the Creative Commons CC BY license

First published on this website: 24.10.2018 - 07:29

In this paper, new singular soliton solution is found to the hyperbolic generalization of the Burgers equation. 2D and 3D graphs are also presented. At the end of paper, a conclusion is introduced as well by mentioning novel aspects of paper.


[1] F. Dusunceli and E. Celik, “Numerical solution for high-order linear complex differential equations with variable coefficients,” Numerical Methods for Partial Differential Equations, Vol. 34(5), 2017, pp. 1645–1658.

[2] C. Cattani at al., “Solitons in an inhomogeneous Murnaghan's rod,” European Physical Journal Plus, Vol 133(228), 2018, pp. 1-12.

[3] C. Cattani and A. Ciancio, “On the fractal distribution of primes and prime-indexed primes by the binary image analysis,” Physica A, Vol. 460, 2016, pp. 222–229.

[4] F. Dusunceli and E. Celik, “An Effective Tool: Numerical Solutions by Legendre Polynomials for High-Order Linear Complex Differential Equations,” British Journal of Applied Science and Technology, Vol. 8(4), 2015, pp. 348-355.

[5] V.A. Vladimirov and C. Maczka, “Exact Solutions of Generalized Burgers Equation Describing Travelling Fronts and Their Interaction,” Reports on Mathematical Physics, Vol. 60(2), 2007, pp. 317-328.

[6] A.S. Makarenko, M.N. Moskalkov and S.P. Levkov, “On blow-up solutions in turbulence,” Physics Letters A, Vol. 235(4), 1997, pp. 391-397.

[7] A.S. Makarenko, “New differential equation model for hydrodynamics with memory effects,” Reports on Mathematical Physics, Vol. 46, 2000, pp. 183-190.

[8] M.G. Hafez, M.N. Alam and M.A. Akbar, “Travelling wave solutions for some important coupled nonlinear physical models via the coupled Higgs equation and the Maccari system,” Journal of King Saud University – Science, Vol. 27, 2015, pp. 105–112.

[9] S. Uddin et al., “Some New Exact Traveling Wave Solutions to the (3+1)-Dimensional Zakharov-Kuznetsov Equation and the Burgers Equations via Exp -Expansion Method,” Frontiers of Mathematics and Its Applications, Vol. 1(1), 2014, pp. 1-8.

Official paper


Dear Editor,

If possible, we need to revise our paper as below.

Please, if you help me, I will be very pleasure.

With my best regards 

Wed, 10/24/2018 - 12:26
Secretary CSE
researcher, secretary

Dear Authors,


Your paper has been accepted!


We are glad to inform you that your conference paper has been accepted to participate in the 8th International Joint Youth Science Forum «Litteris et Artibus» & 13th International Conference «Young Scientists Towards the Challenges of Modern Technology», particularly in "Computer Science & Engineering" conference (November 22-24, 2018, Lviv, Ukraine)! Your paper will be published in digital proceedings with ISSN and DOI on the website


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Fri, 11/16/2018 - 10:36