Araştırma Makalesi

ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD

Cilt: 5 Sayı: 2 31 Temmuz 2022
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EN

ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD

Öz

In this article, the exact solutions of the (1+1)-dimensional (DLW) equation, a fractional partial differential equation in conformable sense, which is a nonlinear, are given. Furthermore, with the aid of the mathematica program it is seen that the analytical solutions revealed with the auxiliary equation method satisfies the equation.

Anahtar Kelimeler

Kaynakça

  1. [1] S. Abbasbandy, The application of homotopy analysis method to nonlinear equations arising in heat transfer, Physics Letters A, 360(1), pp. 109-113 (2006).
  2. [2] M.A. Abdou, A generalized auxiliary equation method and its applications, Nonlinear Dynamics, 52(1), pp. 95-102 (2008).
  3. [3] M.A. Abdou, Further improved F-expansion and new exact solutions for nonlinear evolution equations, Nonlinear Dynamics, 52(3), pp. 227-288 (2008).
  4. [4] L.A. Alhakim and A.A. Moussa, The double auxiliary equations method and its application to space-time fractional nonlinear equations,Journal of Ocean Engineering and Science, 4, pp. 7-13 (2019).
  5. [5] G. Cai, Q. Wang and J. Huang, A modified F-expansion method for solving breaking soliton equation, Int J Nonlinear Sci, 2(2), 122-128 (2006).
  6. [6] Y. Chen and Z. Yan, The Weierstrass elliptic function expansion method and its applications in nonlinear wave equations, Chaos Solitons Fractals, 29(4), 948964 (2006).
  7. [7] Y. Gurefe, A. Sonmezoglu and E. Misirli, Application of trial equation method to the nonlinear partial differential equations arising in mathematical physics, Pramana J Phys, 77(6), 1023-1029 (2011).
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Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2022

Gönderilme Tarihi

17 Mart 2022

Kabul Tarihi

23 Temmuz 2022

Yayımlandığı Sayı

Yıl 2022 Cilt: 5 Sayı: 2

Kaynak Göster

APA
Göktaş, A. M., Yılmaz, K., & Taşbozan, O. (2022). ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD. Journal of Universal Mathematics, 5(2), 88-94. https://doi.org/10.33773/jum.1089362
AMA
1.Göktaş AM, Yılmaz K, Taşbozan O. ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD. JUM. 2022;5(2):88-94. doi:10.33773/jum.1089362
Chicago
Göktaş, Ahmet Mücahid, Koray Yılmaz, ve Orkun Taşbozan. 2022. “ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD”. Journal of Universal Mathematics 5 (2): 88-94. https://doi.org/10.33773/jum.1089362.
EndNote
Göktaş AM, Yılmaz K, Taşbozan O (01 Temmuz 2022) ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD. Journal of Universal Mathematics 5 2 88–94.
IEEE
[1]A. M. Göktaş, K. Yılmaz, ve O. Taşbozan, “ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD”, JUM, c. 5, sy 2, ss. 88–94, Tem. 2022, doi: 10.33773/jum.1089362.
ISNAD
Göktaş, Ahmet Mücahid - Yılmaz, Koray - Taşbozan, Orkun. “ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD”. Journal of Universal Mathematics 5/2 (01 Temmuz 2022): 88-94. https://doi.org/10.33773/jum.1089362.
JAMA
1.Göktaş AM, Yılmaz K, Taşbozan O. ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD. JUM. 2022;5:88–94.
MLA
Göktaş, Ahmet Mücahid, vd. “ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD”. Journal of Universal Mathematics, c. 5, sy 2, Temmuz 2022, ss. 88-94, doi:10.33773/jum.1089362.
Vancouver
1.Ahmet Mücahid Göktaş, Koray Yılmaz, Orkun Taşbozan. ANALYTICAL SOLUTIONS OF (1+1)- DIMENSIONAL DISTRIBUTED LONG WAVE (DLW) EQUATION WITH AUXILIARY EQUATION METHOD. JUM. 01 Temmuz 2022;5(2):88-94. doi:10.33773/jum.1089362

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