(2+1)维sine-Gordon方程的三种函数混合解

高美茹; 陈怀堂

doi:10.7498/aps.61.220509

摘要

基于一构造的Wronskian形式展开法, 获得了(2+1)维sine-Gordon方程的一系列新形式的混合解. 这些解是三角函数、双曲函数及 Jacobi 椭圆函数等三种函数的组合形式.

关键词:

Based on a constructed Wronskian form expansion method, a few new types of hybrid solutions to the (2+1)-dimensional sine-Gordon equation are obtained. These solutions are some various combinations of trigonometric functions, hyperbolic functions and Jacobi elliptic functions.

Keywords:

作者及机构信息

高美茹^{1 2 3},
陈怀堂^{1 3}

1.
临沂大学理学院, 临沂 276005;

2.
中国农业银行忻州分行忻府支行, 忻州 034000;

3.
山东师范大学数学科学院, 济南 250014

基金项目: 山东省自然科学基金 (批准号: ZR2010AM014, Y2007A26)资助的课题.

Authors and contacts

Gao Mei-Ru^{1 2 3},
Chen Huai-Tang^{1 3}

1.
School of Science, Linyi University, Linyi 276005, China;

2.
Xinzhou Branch, Agricultural Bank of China, Xinzhou 034000, China;

3.
School of Mathematical Science, Shandong Normal University, Jinan 250014, China

Funds: Project supported by the Natural Science Foundations of Shandong Province(Grant Nos. ZR2010AM014, Y2007A26).

参考文献

[1]	Wu W J 1992 Progress in Natural Science 2 1 (in Chinese) [吴文俊 1984 几何定理机械化证明的基本原理(北京:科学出版社)]
[2]	Taogetusang, Sirendaoerji 2010 Acta Phys. Sin. 59 5194 (in Chinese) [套格图桑, 斯仁道尔吉 2010 物理学报 59 5194]
[3]	Zhang D J, Deng S F, Chen D Y 2004 Acta Mathematica Scientia 24 257 (in Chinese) [张大军, 邓淑芳, 陈登远 2004 数学物理学报 24 257]
[4]	Yoshimasa Matsuno 2010 J. Phys. A: Math. Theor. 43 105204
[5]	Taogetusang 2011 Acta Phys. Sin. 60 070203 (in Chinese) [套格图桑 2011 物理学报 60 070203]
[6]	Chen H T, Yin H C 2008 Journal of Physics: Conference Series 96 012020
[7]	Freeman N C, Nimmo J J C 1983 Phys. Lett. A 95 1
[8]	Nimmo J J C 1983 Phys. Lett. A 99 279
[9]	Liu Q M 1989 J. Phys. A: Math. Gen. 22 255
[10]	Lü D Z, Cui Y Y, Wang X J 2009 Phys. Lett. A 374 218

施引文献

[1]	Wu W J 1992 Progress in Natural Science 2 1 (in Chinese) [吴文俊 1984 几何定理机械化证明的基本原理(北京:科学出版社)]
[2]	Taogetusang, Sirendaoerji 2010 Acta Phys. Sin. 59 5194 (in Chinese) [套格图桑, 斯仁道尔吉 2010 物理学报 59 5194]
[3]	Zhang D J, Deng S F, Chen D Y 2004 Acta Mathematica Scientia 24 257 (in Chinese) [张大军, 邓淑芳, 陈登远 2004 数学物理学报 24 257]
[4]	Yoshimasa Matsuno 2010 J. Phys. A: Math. Theor. 43 105204
[5]	Taogetusang 2011 Acta Phys. Sin. 60 070203 (in Chinese) [套格图桑 2011 物理学报 60 070203]
[6]	Chen H T, Yin H C 2008 Journal of Physics: Conference Series 96 012020
[7]	Freeman N C, Nimmo J J C 1983 Phys. Lett. A 95 1
[8]	Nimmo J J C 1983 Phys. Lett. A 99 279
[9]	Liu Q M 1989 J. Phys. A: Math. Gen. 22 255
[10]	Lü D Z, Cui Y Y, Wang X J 2009 Phys. Lett. A 374 218

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(2+1)维sine-Gordon方程的三种函数混合解

Hybrid solutions of three functions to the (2+1)-dimensional sine-Gordon equation

摘要

Abstract

作者及机构信息

1.
临沂大学理学院, 临沂 276005;

2.
中国农业银行忻州分行忻府支行, 忻州 034000;

3.
山东师范大学数学科学院, 济南 250014

Authors and contacts

1.
School of Science, Linyi University, Linyi 276005, China;

2.
Xinzhou Branch, Agricultural Bank of China, Xinzhou 034000, China;

3.
School of Mathematical Science, Shandong Normal University, Jinan 250014, China

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(2+1)维sine-Gordon方程的三种函数混合解

Hybrid solutions of three functions to the (2+1)-dimensional sine-Gordon equation

摘要

Abstract

作者及机构信息

1. 临沂大学理学院, 临沂 276005; 2. 中国农业银行忻州分行忻府支行, 忻州 034000; 3. 山东师范大学数学科学院, 济南 250014

Authors and contacts

1. School of Science, Linyi University, Linyi 276005, China; 2. Xinzhou Branch, Agricultural Bank of China, Xinzhou 034000, China; 3. School of Mathematical Science, Shandong Normal University, Jinan 250014, China

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关于期刊

关于我们

1.
临沂大学理学院, 临沂 276005;

2.
中国农业银行忻州分行忻府支行, 忻州 034000;

3.
山东师范大学数学科学院, 济南 250014

1.
School of Science, Linyi University, Linyi 276005, China;

2.
Xinzhou Branch, Agricultural Bank of China, Xinzhou 034000, China;

3.
School of Mathematical Science, Shandong Normal University, Jinan 250014, China