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(1 + 1)维非线性色散修正本杰明-博纳-马奥尼方程和耦合克莱因-戈登方程的精确解

Exact solutions for (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony equation and coupled Klein-Gordon equations.

作者信息

Khan Kamruzzaman, Akbar M Ali, Islam S M Rayhanul

机构信息

Department of Mathematics, Pabna University of Science & Technology, Pabna, 6600 Bangladesh.

Department of Applied Mathematics, University of Rajshahi, Rajshahi, 6205 Bangladesh.

出版信息

Springerplus. 2014 Dec 10;3:724. doi: 10.1186/2193-1801-3-724. eCollection 2014.

DOI:10.1186/2193-1801-3-724
PMID:26034698
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4447750/
Abstract

ABSTRACT

In this work, recently developed modified simple equation (MSE) method is applied to find exact traveling wave solutions of nonlinear evolution equations (NLEEs). To do so, we consider the (1 + 1)-dimensional nonlinear dispersive modified Benjamin-Bona-Mahony (DMBBM) equation and coupled Klein-Gordon (cKG) equations. Two classes of explicit exact solutions-hyperbolic and trigonometric solutions of the associated equations are characterized with some free parameters. Then these exact solutions correspond to solitary waves for particular values of the parameters.

PACS NUMBERS

02.30.Jr; 02.70.Wz; 05.45.Yv; 94.05.Fg.

摘要

摘要

在这项工作中，应用最近开发的修正简单方程（MSE）方法来寻找非线性演化方程（NLEEs）的精确行波解。为此，我们考虑（1 + 1）维非线性色散修正本杰明 - 博纳 - 马奥尼（DMBBM）方程和耦合克莱因 - 戈登（cKG）方程。相关方程的两类显式精确解——双曲解和三角解，由一些自由参数表征。然后，对于参数的特定值，这些精确解对应于孤立波。

物理和天文学分类号

02.30.Jr；02.70.Wz；05.45.Yv；94.05.Fg。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/87c6f0338f87/40064_2014_1587_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/bab510305661/40064_2014_1587_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/37d95db4d1f5/40064_2014_1587_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/7621244165db/40064_2014_1587_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/87c6f0338f87/40064_2014_1587_Fig4_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/bab510305661/40064_2014_1587_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/37d95db4d1f5/40064_2014_1587_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/7621244165db/40064_2014_1587_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8b78/4447750/87c6f0338f87/40064_2014_1587_Fig4_HTML.jpg

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本文引用的文献

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Exact traveling wave solutions of modified KdV-Zakharov-Kuznetsov equation and viscous Burgers equation.修正的KdV-Zakharov-Kuznetsov方程和粘性Burgers方程的精确行波解
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Generalized and improved (G'/G)-expansion method for (3+1)-dimensional modified KdV-Zakharov-Kuznetsev equation.
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PLoS One. 2013 May 31;8(5):e64618. doi: 10.1371/journal.pone.0064618. Print 2013.