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

Gao Mei-Ru; Chen Huai-Tang

doi:10.7498/aps.61.220509

Abstract

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:

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

References

[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 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 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 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

Cited By

[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 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 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 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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Vol. 61, Issue 22 - 2012-11-20

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

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

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