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
- 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
- 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.
- W. X. Ma, E.G. Fan, Linear superposition principle applying to Hirota bilinear equations, Comput. Math. Appl, 61 (2011), 950–959
- 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
- G.Q. Xu, X.Z. Huang, New variable separation solutions for two nonlinear evolution equations in higher dimensions, Chin. Phys. Lett., 30 (2013),130202
- E. T. Bell, Exponential polynomials, Ann. Math., 35 (1934), 258–277
- 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
- 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
Emrullah Yasar
*
Türkiye
Publication Date
December 31, 2016
Submission Date
July 26, 2016
Acceptance Date
October 29, 2016
Published in Issue
Year 2016 Volume: 4 Number: 4