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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.
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关键词:
- Wronskian 技巧 /
- 混合解 /
- sine-Gordon 方程
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:
- Wronskian technique /
- Hybrid Solution /
- sine-Gordon equation
[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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[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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