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A function transformation is presented to change a kind of nonlinear coupled system into a set of two elliptic equations of the first kind. Then new infinite sequence complexion two-soliton solutions to a kind of nonlinear coupled system are constructed by new solutions and Bäcklund transformation of elliptic equation of the first kind.
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Keywords:
- nonlinear coupled system /
- function transformation /
- Bä /
- cklund transformation /
- complexion two-soliton solution
[1] Rajaraman R 1979 Phys. Rev. Lett. 42 200
[2] Wang X Y, Zhao N 1991 Acta Phys. Sin. 40 359 (in Chinese) [王心宜, 赵南 1991 40 359]
[3] Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 1064 (in Chinese) [范恩贵, 张鸿庆 1998 47 1064]
[4] Liu C P 2000 Acta Phys. Sin. 49 1904 (in Chinese) [刘春平 2000 49 1904]
[5] Li D S, Zhang H Q 2003 Acta Phys. Sin. 52 2373 (in Chinese) [李德生, 张鸿庆 2003 52 2373]
[6] Li D S, Zhang H Q 2003 Acta Phys. Sin. 52 2379 (in Chinese) [李德生, 张鸿庆 2003 52 2379]
[7] Taogetusang, Sirendaoerji, Li S M 2011 Commun. Theor. Phys. 55 949
[8] Taogetusang, Sirendaoerji, Li S M 2010 Chin. Phys. B 19 080303
[9] Taogetusang, Bai Y M 2012 Acta Phys. Sin. 61 060201 (in Chinese) [套格图桑, 白玉梅 2012 61 060201]
[10] Wang J M 2012 Acta Phys. Sin. 61 080201 (in Chinese) [王军民 2012 61 080201]
[11] Ma S H, Fang J P 2012 Acta Phys. Sin. 61 180505 (in Chinese) [马松华, 方建平 2012 61 180505]
[12] Fu Z T, Liu S K, Liu S D 2003 Commun. Theor. Phys. 39 27
[13] Wang M L, Li X Z, Zhang J L 2008 Phys. Lett. A 372 417
[14] Chen H T, Zhang H Q 2004 Commun. Theor. Phys. 42 497
[15] Chen Y, Li B, Zhang H Q 2003 Commun. Theor. Phys. 40 137
[16] L Z S, Zhang H Q 2003 Commun. Theor. Phys. 39 405
[17] Xie F D, Chen J, L Z S 2005 Commun. Theor. Phys. 43 585
[18] Li D S, Zhang H Q 2004 Chin. Phys. 13 984
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[1] Rajaraman R 1979 Phys. Rev. Lett. 42 200
[2] Wang X Y, Zhao N 1991 Acta Phys. Sin. 40 359 (in Chinese) [王心宜, 赵南 1991 40 359]
[3] Fan E G, Zhang H Q 1998 Acta Phys. Sin. 47 1064 (in Chinese) [范恩贵, 张鸿庆 1998 47 1064]
[4] Liu C P 2000 Acta Phys. Sin. 49 1904 (in Chinese) [刘春平 2000 49 1904]
[5] Li D S, Zhang H Q 2003 Acta Phys. Sin. 52 2373 (in Chinese) [李德生, 张鸿庆 2003 52 2373]
[6] Li D S, Zhang H Q 2003 Acta Phys. Sin. 52 2379 (in Chinese) [李德生, 张鸿庆 2003 52 2379]
[7] Taogetusang, Sirendaoerji, Li S M 2011 Commun. Theor. Phys. 55 949
[8] Taogetusang, Sirendaoerji, Li S M 2010 Chin. Phys. B 19 080303
[9] Taogetusang, Bai Y M 2012 Acta Phys. Sin. 61 060201 (in Chinese) [套格图桑, 白玉梅 2012 61 060201]
[10] Wang J M 2012 Acta Phys. Sin. 61 080201 (in Chinese) [王军民 2012 61 080201]
[11] Ma S H, Fang J P 2012 Acta Phys. Sin. 61 180505 (in Chinese) [马松华, 方建平 2012 61 180505]
[12] Fu Z T, Liu S K, Liu S D 2003 Commun. Theor. Phys. 39 27
[13] Wang M L, Li X Z, Zhang J L 2008 Phys. Lett. A 372 417
[14] Chen H T, Zhang H Q 2004 Commun. Theor. Phys. 42 497
[15] Chen Y, Li B, Zhang H Q 2003 Commun. Theor. Phys. 40 137
[16] L Z S, Zhang H Q 2003 Commun. Theor. Phys. 39 405
[17] Xie F D, Chen J, L Z S 2005 Commun. Theor. Phys. 43 585
[18] Li D S, Zhang H Q 2004 Chin. Phys. 13 984
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