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With the help of the symbolic computation system Maple and a projective equation and a linear variable separation method, new exact solutions of the (3+1) -dimensional Jimbo-Miwa equation are derived. Based on the derived solitary wave solution, some novel localized excitations are investigated.
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Keywords:
- projective equation /
- Jimbo-Miwa equation /
- exact solutions /
- localized excitations
[1] Ma Y L, Li B Q 2010 J.Math.Phys. 51 063512
[2] Li B Q, Ma Y L, Xu M P 2010 Acta Phys.Sin. 59 1409 (in Chinese) [李帮庆、马玉兰、徐美萍 2010 物理学报 59 1409]
[3] [4] [5] Dai C Q, Wang Y Y, Zhang J F 2010 Opt. Lett. 35 1437
[6] [7] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[8] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 2121 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[9] [10] [11] Dai C Q, Wang Y Y, Yan C J 2010 Opt. Commun. 283 1489
[12] Dai C Q, Zhou G Q 2007 Chin. Phys. 16 1201
[13] [14] [15] Dai C Q, Zhang J F 2006 Opt. Commun. 263 309
[16] [17] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[18] Lou S Y 1996 Commun. Theor. Phys. 26 487
[19] [20] Dai C Q, Yan C J, Zhang J F 2006 Commun. Theor. Phys. 46 389
[21] [22] [23] Lai D W C, Chow K W 1999 J. Phys. Soc. Jpn. 65 1847
[24] Lai D W C, Chow K W 2001 J. Phys. Soc. Jpn. 70 666
[25] [26] [27] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[28] [29] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华、强继业、方建平 2007 物理学报 56 620]
[30] [31] Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[32] [33] Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. A 61 249
[34] [35] Lou S Y 1998 Phys. Rev. Lett. 80 5027
[36] Fang J P, Zheng C L, Zhu J M 2005 Acta Phys. Sin. 54 2990 (in Chinese) [方建平、郑春龙、朱加民 2005 物理学报 54 2990]
[37] [38] [39] Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 Acta Phys. Sin. 56 611 (in Chinese) [黄 磊、孙建安、豆福全、段文山、刘兴霞 2007 物理学报 56 611]
[40] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、方建平 2006 物理学报 55 5611]
[41] [42] [43] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. A 63 121
[44] [45] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. 17 2767
[46] Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[47] [48] [49] Bai C L, Zhao H 2004 Commun. Theor. Phys. 41 875
[50] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Solitons Fract. 40 1352
[51] -
[1] Ma Y L, Li B Q 2010 J.Math.Phys. 51 063512
[2] Li B Q, Ma Y L, Xu M P 2010 Acta Phys.Sin. 59 1409 (in Chinese) [李帮庆、马玉兰、徐美萍 2010 物理学报 59 1409]
[3] [4] [5] Dai C Q, Wang Y Y, Zhang J F 2010 Opt. Lett. 35 1437
[6] [7] Zhang S L, Lou S Y 2007 Commun. Theor. Phys. 48 385
[8] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 2121 (in Chinese) [套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[9] [10] [11] Dai C Q, Wang Y Y, Yan C J 2010 Opt. Commun. 283 1489
[12] Dai C Q, Zhou G Q 2007 Chin. Phys. 16 1201
[13] [14] [15] Dai C Q, Zhang J F 2006 Opt. Commun. 263 309
[16] [17] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[18] Lou S Y 1996 Commun. Theor. Phys. 26 487
[19] [20] Dai C Q, Yan C J, Zhang J F 2006 Commun. Theor. Phys. 46 389
[21] [22] [23] Lai D W C, Chow K W 1999 J. Phys. Soc. Jpn. 65 1847
[24] Lai D W C, Chow K W 2001 J. Phys. Soc. Jpn. 70 666
[25] [26] [27] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor. Phys. 42 175
[28] [29] Ma S H, Qiang J Y, Fang J P 2007 Acta Phys. Sin. 56 620 (in Chinese) [马松华、强继业、方建平 2007 物理学报 56 620]
[30] [31] Fang J P, Zheng C L, Zhu J M 2005 Commun. Theor. Phys. 44 203
[32] [33] Ma S H, Wu X H, Fang J P, Zheng C L 2006 Z. Naturforsch. A 61 249
[34] [35] Lou S Y 1998 Phys. Rev. Lett. 80 5027
[36] Fang J P, Zheng C L, Zhu J M 2005 Acta Phys. Sin. 54 2990 (in Chinese) [方建平、郑春龙、朱加民 2005 物理学报 54 2990]
[37] [38] [39] Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 Acta Phys. Sin. 56 611 (in Chinese) [黄 磊、孙建安、豆福全、段文山、刘兴霞 2007 物理学报 56 611]
[40] Ma S H, Fang J P 2006 Acta Phys. Sin. 55 5611 (in Chinese) [马松华、方建平 2006 物理学报 55 5611]
[41] [42] [43] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. A 63 121
[44] [45] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. 17 2767
[46] Fang J P, Zheng C L 2005 Chin. Phys. 14 670
[47] [48] [49] Bai C L, Zhao H 2004 Commun. Theor. Phys. 41 875
[50] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos Solitons Fract. 40 1352
[51]
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