The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics

Volume: 4 Number: 1 May 1, 2016
S. Akçağıl , O. Gözükızıl
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The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics

Abstract

Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation. In this work we consider two important system of Sobolev type equations namely improved Boussinesq and higher-order improved Boussinesq. By using tanh-coth method, we obtain abundant new travelling wave solutions of these important physical structures.

Keywords

Sobolev equation, The tanh-coth method, The system of improved Boussinesq equations, The system of higher-order improved Boussinesq equations

References

  1. [1] P. L. Christiansen, P. S. Lomdahl and V. Muto, "On a Toda lattice model with a transversal degree of freedom", Nonlinearity, vol. 4, pp. 477-501, 1991.
  2. [2] K. R. Khusnutdinova, A. M. Samsonov and A. S. Zakharov, "Nonlinear layered lattice model and generalized solitary waves in imperfectly bonded structures", Physical Review E, pp. 1-14, vol. 79, 2009
  3. [3] J. A. D. Wattis, "Solitary waves in a diatomic lattice: analytic approximations for a wide range of speeds by quasi-continuum methods", Physics Letters A, vol. 284, pp. 16-22, 2001
  4. [4] A. De Godefroy, "Blow up of solutions of a generalized Boussinesq equation", IMA Journal of Applied Mathematics, vol. 60, pp.123-138,1998
  5. [5] S. Wang and M. Li, "The Cauchy problem for coupled IMBq equations", IMA Journal of Applied Mathematics, vol. 74 ,pp. 726-740, 2009
  6. [6] D. Rosenau, "Dynamics of dense lattice", Phys. Rev. B, vol.36, pp. 5868-5876, 1987

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

S. Akçağıl This is me

O. Gözükızıl This is me

Publication Date

May 1, 2016

Submission Date

May 1, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

IZ

https://izlik.org/JA68GX89ZF

Cite

RIS / Bibtex
APA
Akçağıl, S., & Gözükızıl, O. (2016). The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics. MANAS Journal of Engineering, 4(1), 52-62. https://izlik.org/JA68GX89ZF
AMA
1.Akçağıl S, Gözükızıl O. The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics. MJEN. 2016;4(1):52-62. https://izlik.org/JA68GX89ZF
Chicago
Akçağıl, S., and O. Gözükızıl. 2016. “The Tanh-Coth Method For Two System Of Sobolev Type Equations In Mathematical Physics”. MANAS Journal of Engineering 4 (1): 52-62. https://izlik.org/JA68GX89ZF.
EndNote
Akçağıl S, Gözükızıl O (May 1, 2016) The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics. MANAS Journal of Engineering 4 1 52–62.
IEEE
[1]S. Akçağıl and O. Gözükızıl, “The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics”, MJEN, vol. 4, no. 1, pp. 52–62, May 2016, [Online]. Available: https://izlik.org/JA68GX89ZF
ISNAD
Akçağıl, S. - Gözükızıl, O. “The Tanh-Coth Method For Two System Of Sobolev Type Equations In Mathematical Physics”. MANAS Journal of Engineering 4/1 (May 1, 2016): 52-62. https://izlik.org/JA68GX89ZF.
JAMA
1.Akçağıl S, Gözükızıl O. The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics. MJEN. 2016;4:52–62.
MLA
Akçağıl, S., and O. Gözükızıl. “The Tanh-Coth Method For Two System Of Sobolev Type Equations In Mathematical Physics”. MANAS Journal of Engineering, vol. 4, no. 1, May 2016, pp. 52-62, https://izlik.org/JA68GX89ZF.
Vancouver
1.S. Akçağıl, O. Gözükızıl. The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics. MJEN [Internet]. 2016 May 1;4(1):52-6. Available from: https://izlik.org/JA68GX89ZF

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