Araştırma Makalesi

Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation

Cilt: 4 Sayı: 4 31 Aralık 2016
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EN

Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation

Öz

In this study, we considered the (3+1) dimensional a B-type Kademtsev-Petviashvili (KP) equation. Using the Lie group analysis, the symmetry reductions and exact analytic solutions were obtained. Traveling wave solutions were also deduced. Lastly, local conservation laws were constructed by using the multiplier and Ibragimov’s nonlocal conservation method.

Anahtar Kelimeler

Kaynakça

  1. M. T. Darvishi, M. Najafi, S. Arbabi, L. Kavitha, Exact propagating multi-anti-kink soliton solutions of a (3+ 1)-dimensional B-type Kadomtsev–Petviashvili equation, Nonlinear Dynamics, 83(3) (2016), 1453-1462
  2. L. Na, Bäcklund transformation and multi-soliton solutions for the (3+ 1)-dimensional BKP equation with Bell polynomials and symbolic computation, Nonlinear Dynamics, 82 (2015), 311-318.
  3. W. X. Ma, E.G. Fan, Linear superposition principle applying to Hirota bilinear equations, Comput. Math. Appl, 61 (2011), 950–959
  4. W. X. Ma, Z. Zhu, Solving the (3+ 1)-dimensional generalized KP and BKP equations by the multiple exp-function algorithm, Appl. Math. Comput, 218 (2012), 11871–11879
  5. G.Q. Xu, X.Z. Huang, New variable separation solutions for two nonlinear evolution equations in higher dimensions, Chin. Phys. Lett., 30 (2013),130202
  6. E. T. Bell, Exponential polynomials, Ann. Math., 35 (1934), 258–277
  7. C. Gilson, F. Lambert, J. Nimmo, R. Willox, On the combinatorics of the Hirota D-operators, Proc. R. Soc. Lond. Ser. A, 452, (1996), 223–234
  8. A. Biswas,1-Soliton solution of the generalized Camassa-Holm Kadomtsev-Petviashvili equation, Communications in Nonlinear Science and Numerical Simulation, 14 (6), 2524-2527. (2009).

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

26 Temmuz 2016

Kabul Tarihi

29 Ekim 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Yasar, E. (2016). Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation. New Trends in Mathematical Sciences, 4(4), 163-174. https://izlik.org/JA67YJ95DU
AMA
1.Yasar E. Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation. New Trends in Mathematical Sciences. 2016;4(4):163-174. https://izlik.org/JA67YJ95DU
Chicago
Yasar, Emrullah. 2016. “Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation”. New Trends in Mathematical Sciences 4 (4): 163-74. https://izlik.org/JA67YJ95DU.
EndNote
Yasar E (01 Aralık 2016) Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation. New Trends in Mathematical Sciences 4 4 163–174.
IEEE
[1]E. Yasar, “Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation”, New Trends in Mathematical Sciences, c. 4, sy 4, ss. 163–174, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA67YJ95DU
ISNAD
Yasar, Emrullah. “Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation”. New Trends in Mathematical Sciences 4/4 (01 Aralık 2016): 163-174. https://izlik.org/JA67YJ95DU.
JAMA
1.Yasar E. Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation. New Trends in Mathematical Sciences. 2016;4:163–174.
MLA
Yasar, Emrullah. “Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation”. New Trends in Mathematical Sciences, c. 4, sy 4, Aralık 2016, ss. 163-74, https://izlik.org/JA67YJ95DU.
Vancouver
1.Emrullah Yasar. Lie group analysis, exact solutions and conservation laws of (3+1) dimensional a B-type KP equation. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2016;4(4):163-74. Erişim adresi: https://izlik.org/JA67YJ95DU