Truncated series solutions to the (2+1)-dimensional perturbed Boussinesq equation by using the approximate symmetry method

doi:10.1088/1674-1056/27/10/100202

Abstract

In this paper, the (2+1)-dimensional perturbed Boussinesq equation is transformed into a series of two-dimensional (2D) similarity reduction equations by using the approximate symmetry method. A step-by-step procedure is used to acquire Jacobi elliptic function solutions to these similarity equations, which generate the truncated series solutions to the original perturbed Boussinesq equation. Aside from some singular area, the series solutions are convergent when the perturbation parameter is diminished.

Keywords: approximate symmetry method (2+1)-dimensional perturbed Boussinesq equation series solutions convergence of series solutions

Received: 06 May 2018
Revised: 18 July 2018
Accepted manuscript online:

PACS:	02.20.Hj	(Classical groups)
	02.30.Jr	(Partial differential equations)

Fund:

Project supported by the National Natural Science Foundation of China (Grant No. 11505094) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20150984).

Corresponding Authors: Xiao-Yu Jiao
E-mail: jiaoxiaoyu@njue.edu.cn

Cite this article:

Xiao-Yu Jiao(焦小玉) Truncated series solutions to the (2+1)-dimensional perturbed Boussinesq equation by using the approximate symmetry method 2018 Chin. Phys. B 27 100202

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[1]	Approximate homotopy similarity reduction for the generalized Kawahara equation via Lie symmetry method and direct method Liu Xi-Zhong(刘希忠). Chin. Phys. B, 2010, 19(8): 080202.

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Truncated series solutions to the (2+1)-dimensional perturbed Boussinesq equation by using the approximate symmetry method

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