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文章研究了一类带自相容源的sine-Gordon方程(SGESCSs),利用广义双Darboux变换法,得到了该方程的complexiton解,进一步丰富了这类方程的解.
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关键词:
- sine-Gordon方程 /
- 自相容源 /
- 广义双Darboux变换 /
- complexiton解
This paper deals with one type of sine-Gordon with self-consistent source (SGESCS). The explicit exact solution of the equation is investigated using a generalized binary Darboux transformation. The complexiton solution for the equation is finally obtained.-
Keywords:
- sine-Gordon equation /
- self-consistent source /
- generalized binary Darboux transformation /
- complexiton solution
[1] Melnikov V K 1990 Inverse Probl. 6 233
[2] Leon J, Latifi A 1990 J. Phys. A 23 1385
[3] [4] Melnikov V K 1983 Lett. Math. Phys. 7 129
[5] [6] [7] Zakharov V E, Kuznetsov E A 1986 Physica. D 18 455
[8] Melnikov V K 1992 Inverse Probl. 8 133
[9] [10] [11] Doktorov E V, Vlasov R A 1983 Opt. Acta 30 223
[12] Claude C, Latifi A, Leon J 1991 J. Math. Phys. 32 3321
[13] [14] [15] Lin R L, Zeng Y B, Ma W X 2001 Physica A 291 287
[16] [17] Zeng Y B, Ma W X, Shao Y J 2001 J. Math. Phys. 42 2113
[18] [19] Zeng Y B, Shao Y J, Xue W M 2003 J. Phys. A: Math. Phys. 36 5035
[20] [21] Xiao T, Zeng Y B 2004 J. Phys. A: Math. Phys. 37 7143
[22] Ma W X 2005 Chaos, Sol. Fract. 26 1453
[23] [24] [25] Liu X J, Zeng Y B 2005 J. Phys. A: Math. Phys. 38 8951
[26] Shao Y J, Zeng Y B 2005 J. Phys. A: Math. Phys. 38 2441
[27] [28] Hu X B, Wang H Y 2006 Inverse Probl. 22 1903
[29] [30] [31] Wang H Y, Hu X B, Tam H W 2007 J. Nonlinear Math. Phys. 14 258
[32] [33] Wang H Y, Hu X B, Tam H W 2007 J. Phys. Soc. Jpn. 76 024007
[34] [35] Wang H Y, Hu X B 2007 Soliton Equations with Self-consistent Sources (Beijing: Tsinghua University Press) (in Chinese) [王 红艳、胡星标 2007 带自相容源的孤立子方程(北京: 清华大学出版社)]
[36] [37] Hu X B 1991 J. Phys. A 24 5489
[38] Hu X B 1996 Chaos, Sol. Fract. 7 211
[39] [40] [41] Zhang D J 2002 J. Phys. Soc. Jpn. 71 2649
[42] Zhang D J, Chen D Y 2003 Physica A 321 467
[43] [44] [45] Deng S F, Chen D Y, Zhang D J 2003 J. Phys. Soc. Jpn. 72 2184
[46] Wang H, Li B 2011 Chin. Phys. B 20 040203
[47] [48] Beutler R 1993 J. Math. Phys. 34 3098
[49] [50] [51] Andreev V A, Brezhnev Y V 1995 Phys. Lett. A 207 58
[52] [53] He H S, Chen J, Yang K Q 2005 Chin. Phys. 14 1926
[54] [55] Hu H C, Lou S Y 2005 Phys. Lett. A 341 422
[56] [57] Zhang Q, Yue P, Gong L X 2006 Chin. Phys. 15 35
[58] Wu H X, Fan T Y 2007 Physica A 379 471
[59] [60] [61] Zhang J W, Wang D X, Wu R H 2008 Acta Phys. Sin. 57 2021 (in Chinese) [张建文、王旦霞、吴润衡 2008 57 2021]
[62] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[63] [64] Piette B, Zakrzewski W J 2009 Phys. Rev. E 79 046603
[65] -
[1] Melnikov V K 1990 Inverse Probl. 6 233
[2] Leon J, Latifi A 1990 J. Phys. A 23 1385
[3] [4] Melnikov V K 1983 Lett. Math. Phys. 7 129
[5] [6] [7] Zakharov V E, Kuznetsov E A 1986 Physica. D 18 455
[8] Melnikov V K 1992 Inverse Probl. 8 133
[9] [10] [11] Doktorov E V, Vlasov R A 1983 Opt. Acta 30 223
[12] Claude C, Latifi A, Leon J 1991 J. Math. Phys. 32 3321
[13] [14] [15] Lin R L, Zeng Y B, Ma W X 2001 Physica A 291 287
[16] [17] Zeng Y B, Ma W X, Shao Y J 2001 J. Math. Phys. 42 2113
[18] [19] Zeng Y B, Shao Y J, Xue W M 2003 J. Phys. A: Math. Phys. 36 5035
[20] [21] Xiao T, Zeng Y B 2004 J. Phys. A: Math. Phys. 37 7143
[22] Ma W X 2005 Chaos, Sol. Fract. 26 1453
[23] [24] [25] Liu X J, Zeng Y B 2005 J. Phys. A: Math. Phys. 38 8951
[26] Shao Y J, Zeng Y B 2005 J. Phys. A: Math. Phys. 38 2441
[27] [28] Hu X B, Wang H Y 2006 Inverse Probl. 22 1903
[29] [30] [31] Wang H Y, Hu X B, Tam H W 2007 J. Nonlinear Math. Phys. 14 258
[32] [33] Wang H Y, Hu X B, Tam H W 2007 J. Phys. Soc. Jpn. 76 024007
[34] [35] Wang H Y, Hu X B 2007 Soliton Equations with Self-consistent Sources (Beijing: Tsinghua University Press) (in Chinese) [王 红艳、胡星标 2007 带自相容源的孤立子方程(北京: 清华大学出版社)]
[36] [37] Hu X B 1991 J. Phys. A 24 5489
[38] Hu X B 1996 Chaos, Sol. Fract. 7 211
[39] [40] [41] Zhang D J 2002 J. Phys. Soc. Jpn. 71 2649
[42] Zhang D J, Chen D Y 2003 Physica A 321 467
[43] [44] [45] Deng S F, Chen D Y, Zhang D J 2003 J. Phys. Soc. Jpn. 72 2184
[46] Wang H, Li B 2011 Chin. Phys. B 20 040203
[47] [48] Beutler R 1993 J. Math. Phys. 34 3098
[49] [50] [51] Andreev V A, Brezhnev Y V 1995 Phys. Lett. A 207 58
[52] [53] He H S, Chen J, Yang K Q 2005 Chin. Phys. 14 1926
[54] [55] Hu H C, Lou S Y 2005 Phys. Lett. A 341 422
[56] [57] Zhang Q, Yue P, Gong L X 2006 Chin. Phys. 15 35
[58] Wu H X, Fan T Y 2007 Physica A 379 471
[59] [60] [61] Zhang J W, Wang D X, Wu R H 2008 Acta Phys. Sin. 57 2021 (in Chinese) [张建文、王旦霞、吴润衡 2008 57 2021]
[62] Mo J Q 2009 Acta Phys. Sin. 58 2930 (in Chinese) [莫嘉琪 2009 58 2930]
[63] [64] Piette B, Zakrzewski W J 2009 Phys. Rev. E 79 046603
[65]
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