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With the projective equation method and the variable separation method, new exact solutions of the (2+1)-dimensional breaking soliton equation is derived. Based on the derived solitary wave excitation, we obtain multi-quadrate soliton structures with Weierstrassp function and study the chaotic behaviours of the equation for two chaotic systems.
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Keywords:
- projective equation method /
- breaking soliton equation /
- multi-quadrate soliton /
- chaotic behaviours
[1] Fan E G, Zhang H Q 1998 Acta.Phys.Sin. 47 0353(in Chinese)[范恩贵、张鸿庆 1998 47 0353]
[2] Lou S Y 1995 J. Phys. Math. Gen A 28 7227
[3] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[4] Lou S Y 1996 Commun. Theor. 26 487
[5] Zhang J F, Huang W H, Zheng C L 2002 Acta.Phys.Sin. 51 2676(in Chinese)[张解放、黄文华、郑春龙 2002 51 2676]
[6] Zhang D J 2005 Chaos,Solitons and Fractals 23 1333
[7] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun.Theor.Phys. 49 829
[8] Zhang S L, Lou S Y 2007 Commun.Theor.Phys. 48 385
[9] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 2121(inChinese) [套格图桑、斯仁道尔吉 2009 58 2121]
[10] Taogetusang, Sirendaoerji 2009 ActaPhys.Sin. 58 5887(inChinese) [套格图桑、斯仁道尔吉 2009 58 5887]
[11] Ma Y L, Li B Q, Sun J Z 2009 ActaPhys.Sin. 58 7402(inChinese) [马玉兰、李帮庆、孙践知 2009 58 7402]
[12] Li B Q, Ma Y L, Xu M P 2010 ActaPhys.Sin. 59 1409(inChinese) [李帮庆、马玉兰、徐美萍 2010 59 1409]
[13] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor.Phys. 42 175
[14] Fang J P, Zheng C L 2005 Chin.Phys. 14 670
[15] Ma S H, Qiang J Y, Fang J P 2007 ActaPhys.Sin. 56 0620(inChinese) [马松华、强继业、方建平 2007 56 0620]
[16] Ma S H, Fang J P 2006 ActaPhys.Sin. 55 5611(inChinese)[马松华、方建平 2006 55 5611]
[17] Zheng C L, Zhang J F 2002 ActaPhys.Sin. 51 2426(inChinese)[郑春龙、张解放 2002 51 2426]
[18] Zheng C L, Fang J P, Chen L Q 2005 ActaPhys.Sin. 54 1468(inChinese)[郑春龙、方建平、陈立群 2005 54 1468]
[19] Zhu J M, Ma Z Y, Zheng C L 2004 ActaPhys.Sin. 53 3248(inChinese)[朱加民、马正义、郑春龙 2004 53 3248]
[20] Liang L W, Li X D, Li Y X 2009 ActaPhys.Sin. 58 2159(inChinese)[梁立为、李兴东、李玉霞 2009 58 2159]
[21] Fang J P, Zheng C L, Zhu J M 2005 ActaPhys.Sin. 54 2990(inChinese) [方建平、郑春龙、朱加民 2005 54 2990]
[22] Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 ActaPhys.Sin. 56 611(inChinese) [黄 磊、孙建安、豆福全、段文山、刘兴霞 2007 56 611]
[23] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos,Solitons and Fractals 40 1352
[24] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63a 121
[25] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. 17 2767
[26] Ma Y L, Li B Q 2010 Appl. Math. Comput. 216 2137
[27] Li B Q, Ma Y L 2010 Z. Naturforsch. 65a 518
[28] Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[29] Zhang J F 20073 Inter.J. Mod.Phys. B 17 4376
[30] Ma S H, Qiang J Y, Fang J P 2007 Commun. Theor.Phys. 48 662
-
[1] Fan E G, Zhang H Q 1998 Acta.Phys.Sin. 47 0353(in Chinese)[范恩贵、张鸿庆 1998 47 0353]
[2] Lou S Y 1995 J. Phys. Math. Gen A 28 7227
[3] Zhang J F, Meng J P 2004 Commun. Theor. Phys. 41 655
[4] Lou S Y 1996 Commun. Theor. 26 487
[5] Zhang J F, Huang W H, Zheng C L 2002 Acta.Phys.Sin. 51 2676(in Chinese)[张解放、黄文华、郑春龙 2002 51 2676]
[6] Zhang D J 2005 Chaos,Solitons and Fractals 23 1333
[7] Zhang S L, Zhu X N, Wang Y M, Lou S Y 2008 Commun.Theor.Phys. 49 829
[8] Zhang S L, Lou S Y 2007 Commun.Theor.Phys. 48 385
[9] Taogetusang, Sirendaoerji 2009 Acta Phys.Sin. 58 2121(inChinese) [套格图桑、斯仁道尔吉 2009 58 2121]
[10] Taogetusang, Sirendaoerji 2009 ActaPhys.Sin. 58 5887(inChinese) [套格图桑、斯仁道尔吉 2009 58 5887]
[11] Ma Y L, Li B Q, Sun J Z 2009 ActaPhys.Sin. 58 7402(inChinese) [马玉兰、李帮庆、孙践知 2009 58 7402]
[12] Li B Q, Ma Y L, Xu M P 2010 ActaPhys.Sin. 59 1409(inChinese) [李帮庆、马玉兰、徐美萍 2010 59 1409]
[13] Fang J P, Zheng C L, Chen L Q 2004 Commun. Theor.Phys. 42 175
[14] Fang J P, Zheng C L 2005 Chin.Phys. 14 670
[15] Ma S H, Qiang J Y, Fang J P 2007 ActaPhys.Sin. 56 0620(inChinese) [马松华、强继业、方建平 2007 56 0620]
[16] Ma S H, Fang J P 2006 ActaPhys.Sin. 55 5611(inChinese)[马松华、方建平 2006 55 5611]
[17] Zheng C L, Zhang J F 2002 ActaPhys.Sin. 51 2426(inChinese)[郑春龙、张解放 2002 51 2426]
[18] Zheng C L, Fang J P, Chen L Q 2005 ActaPhys.Sin. 54 1468(inChinese)[郑春龙、方建平、陈立群 2005 54 1468]
[19] Zhu J M, Ma Z Y, Zheng C L 2004 ActaPhys.Sin. 53 3248(inChinese)[朱加民、马正义、郑春龙 2004 53 3248]
[20] Liang L W, Li X D, Li Y X 2009 ActaPhys.Sin. 58 2159(inChinese)[梁立为、李兴东、李玉霞 2009 58 2159]
[21] Fang J P, Zheng C L, Zhu J M 2005 ActaPhys.Sin. 54 2990(inChinese) [方建平、郑春龙、朱加民 2005 54 2990]
[22] Huang L, Sun J A, Dou F Q, Duan W S, Liu X X 2007 ActaPhys.Sin. 56 611(inChinese) [黄 磊、孙建安、豆福全、段文山、刘兴霞 2007 56 611]
[23] Ma S H, Fang J P, Hong B H, Zheng C L 2009 Chaos,Solitons and Fractals 40 1352
[24] Ma S H, Fang J P, Zheng C L 2008 Z. Naturforsch. 63a 121
[25] Ma S H, Fang J P, Zheng C L 2008 Chin. Phys. 17 2767
[26] Ma Y L, Li B Q 2010 Appl. Math. Comput. 216 2137
[27] Li B Q, Ma Y L 2010 Z. Naturforsch. 65a 518
[28] Ma Y L, Li B Q 2010 J. Math. Phys. 51 063512
[29] Zhang J F 20073 Inter.J. Mod.Phys. B 17 4376
[30] Ma S H, Qiang J Y, Fang J P 2007 Commun. Theor.Phys. 48 662
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