Research Article

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

Volume: 4 Number: 4 December 31, 2016
EN

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

Abstract

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.

Keywords

References

  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).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

December 31, 2016

Submission Date

July 26, 2016

Acceptance Date

October 29, 2016

Published in Issue

Year 2016 Volume: 4 Number: 4

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 (December 1, 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, vol. 4, no. 4, pp. 163–174, Dec. 2016, [Online]. Available: 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 (December 1, 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, vol. 4, no. 4, Dec. 2016, pp. 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]. 2016 Dec. 1;4(4):163-74. Available from: https://izlik.org/JA67YJ95DU