Theta-function Solutions to the (2+1)-Dimensional Breaking Soliton Equation
WANG Jun-Min1**, YANG Xiao2
1Department of Mathematics and Information Science, Henan University of Finance and Economics, Zhenzhou 450002 2Department of Mathematics, Zhengzhou University, Zhengzhou 450002
Theta-function Solutions to the (2+1)-Dimensional Breaking Soliton Equation
WANG Jun-Min1**, YANG Xiao2
1Department of Mathematics and Information Science, Henan University of Finance and Economics, Zhenzhou 450002 2Department of Mathematics, Zhengzhou University, Zhengzhou 450002
摘要A new periodic wave solution in terms of theta functions is presented for a kind of elliptic equation. Based on the results, with the help of Mathematica and the improved generalized F-expansion method, some periodic wave solutions in terms of theta functions are obtained for the (2+1)-dimensional breaking soliton equation. In addition, x-direction periodic wave solutions are derived, their properties and profiles are displayed in 3D figures. To our knowledge, these solutions are reported for the first time.
Abstract：A new periodic wave solution in terms of theta functions is presented for a kind of elliptic equation. Based on the results, with the help of Mathematica and the improved generalized F-expansion method, some periodic wave solutions in terms of theta functions are obtained for the (2+1)-dimensional breaking soliton equation. In addition, x-direction periodic wave solutions are derived, their properties and profiles are displayed in 3D figures. To our knowledge, these solutions are reported for the first time.
WANG Jun-Min**;YANG Xiao
. Theta-function Solutions to the (2+1)-Dimensional Breaking Soliton Equation[J]. 中国物理快报, 2011, 28(9): 90203-090203.
WANG Jun-Min**, YANG Xiao
. Theta-function Solutions to the (2+1)-Dimensional Breaking Soliton Equation. Chin. Phys. Lett., 2011, 28(9): 90203-090203.
[1] Porubov A V 1996 Phys. Lett. A 221 391
[2] Liu S K, Fu Z T, Liu S D and Zhao Q 2001 Phys. Lett. A 289 69
[3] Zhou Y B, Wang M L and Wang Y M 2003 Phys. Lett. A 308 31
[4] Li X Y, Yang S and Wang M L 2005 Chaos. Solitons. Fractals 25 629
[5] Liu J B and Yang K Q 2004 Chaos. Solitons. Fractals 22 111
[6] Wang J M 2011 Chin. Phys. Lett. 28 030202
[7] Dubrovin B A 1975 Funct. Anal. Appl. 9 265
[8] Nakamura A 1979 J. Phys. Soc. Jpn. 47 1701
[9] Nakamura A 1980 J. Phys. Soc. Jpn. 48 1365
[10] Fan E G 2009 J. Phys. A: Math. Gen. 42 095206
[11] Radha R and Lakshmanan M 1995 Phys. Lett. A 197 7
[12] Zhang J F and Men J P 2004 Phys. Lett. A 321 173
[13] Fan E G and Y C Hon 2008 Phys. Rev. E 78 036607
2011, Vol. 28 
