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

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100202-100202.doi: 10.1088/1674-1056/27/10/100202

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

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

Xiao-Yu Jiao(焦小玉)

School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210046, China

收稿日期:2018-05-06 修回日期:2018-07-18 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Xiao-Yu Jiao E-mail:jiaoxiaoyu@njue.edu.cn
基金资助:
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).

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

Xiao-Yu Jiao(焦小玉)

School of Applied Mathematics, Nanjing University of Finance and Economics, Nanjing 210046, China

Received:2018-05-06 Revised:2018-07-18 Online:2018-10-05 Published:2018-10-05
Contact: Xiao-Yu Jiao E-mail:jiaoxiaoyu@njue.edu.cn
Supported by:
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).

摘要/Abstract

摘要：

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.

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

Abstract:

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

中图分类号: (Classical groups)

02.20.Hj

02.30.Jr (Partial differential equations)

焦小玉. Truncated series solutions to the (2+1)-dimensional perturbed Boussinesq equation by using the approximate symmetry method[J]. 中国物理B, 2018, 27(10): 100202-100202.

Xiao-Yu Jiao(焦小玉). Truncated series solutions to the (2+1)-dimensional perturbed Boussinesq equation by using the approximate symmetry method[J]. Chin. Phys. B, 2018, 27(10): 100202-100202.

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

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

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