Asymptotic solution for fractal soliton of disturbed Nizhnik-Novikov-Veselov system

Shi Lan-Fang; Zhou Xian-Chun; Mo Jia-Qi

doi:10.7498/aps.60.110205

Abstract

A class of nonlinear disturbed Nizhnik-Novikov-Veselov system is studied. Using the special asymptotic method, the asymptotic solution for fractal soliton of corresponding system is obtained.

Keywords:

Authors and contacts

1.
College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, China;
2.
College of Science, Hohai University, Nanjing 210098, China;
3.
College of Electronic and Information Engineering, Jiangsu Technology and Engineering Center for Meteorological Senor Network, Nanjing University of Information Science and Technology, Nanjing 210044, China;
4.
Department of Mathematics, Anhui Normal University, Wuhu 241003, China

References

[1]	Parkes E J,Duffy B R 1996 Comp. Phys. Commun. 98 288
[2]	Wang M L 1995 Phys. Lett. A 199 169
[3]
[4]	Yan Z Y,Zhang H Q 2000 Acta Phys. Sin. 49 2113 (in Chinese)[闫振亚、张鸿庆 2000 物理学报 49 2113]
[5]
[6]	Fan E G 2000 Acta Phys. Sin. 49 1409 (in Chinese)[范恩贵 2000 物理学报 49 1409]
[7]
[8]	Parkes E J,Duffy B R,Abbott P C 2001 Phys. Lett. A 295 280
[9]
[10]
[11]	Liu S K,Liu S D,Fu Z T 2001 Acta Phys. Sin. 50 2068 (in Chinese)[刘式适、刘适达、付遵涛 2001 物理学报 50 2068]
[12]	Liu S D,Fu Z T,Liu S K,Zhao Q 2002 Acta Phys. Sin. 51 718 (in Chinese)[刘式达、付遵涛、刘式适、赵强 2002 物理学报 51 718]
[13]
[14]
[15]	Wu G J,Han J H,Shi L M,Zhang M 2006 Acta Phys. Sin. 55 3858 (in Chinese)[吴国将、韩家骅、史良马、张苗 2006 物理学报 55 3858]
[16]
[17]	Sirendaoreji,Sun J 2003 Phys. Lett. A 309 387
[18]	Taogetusang,Sirenlaoerji 2006 Acta Phys. Sin. 55 13 (in Chinese)[套格图桑、斯仁道尔吉 2006 物理学报 55 13]
[19]
[20]	Taogetusang,Sirenlaoerji 2006 Acta Phys. Sin. 55 3246 (in Chinese)[套格图桑、斯仁道尔吉 2006 物理学报 55 3246]
[21]
[22]
[23]	Li X Z,Li X Y,Zhao L Y, Zhang J L 2008 Acta Phys. Sin. 57 2203 (in Chinese)[李向正、李修勇、赵丽英、张金良 2008 物理学报 57 2203]
[24]
[25]	Ying J P,Lou S Y 2003 Chin. Phys. Lett. 20 1448
[26]	Ying J P,Zheng C L,Zhu J M 2005 Commun. Theor. Phys. 44 203
[27]
[28]	Fang J P,Zheng C L 2005 Chin. Phys. 14 670
[29]
[30]	Zhen Y B,Wang M L,Miao T D 2004 Phys. Lett. A 323 77
[31]
[32]
[33]	Li X Z Zhang J L,Wang Y M,Wang M L 2004 Acta Phys,Sin. 53 4045 (in Chinese)[李向正、张金良、王跃明、王明亮 2004 物理学报 53 4045]
[34]	Wang M L,Li X Z,Zhang J L 2008 Phys. Lett. A 372 417
[35]
[36]	Ma Y L,Li B Q,Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese)[马玉兰、李帮庆、孙践知 2009 物理学报 58 7402]
[37]
[38]	Zhang S I,Zhu X N,Wang Y M,Lou S Y 2008 Commun. Theor. Phys. 49 829
[39]
[40]
[41]	Zhang S I,Lou S Y 2007 Commun. Theor. Phys. 48 385
[42]	Taogetusang,Sirenlaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese)[套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[43]
[44]	Taogetusang,Sirenlaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese)[套格图桑、斯仁道尔吉 2009 物理学报 58 5887]
[45]
[46]
[47]	Zhou Z C,Ma S H,Fang J P,Ren Q B 2010 Acta Phys. Sin. 59 7540 (in Chinese)[周振春、马松华、方建平、任清褒 2010 物理学报 59 7540]
[48]
[49]	D'Aprile T,Pistoia A 2010 J. Differ. Equations,248 556
[50]
[51]	Barbu L,Morosanu G 2007 Singularly Perturbed Boundary-Value Problems Basel: Birkhauserm Verlag AG)
[52]
[53]	Barbu L,Cosma E 2009 J. Math. Anal. Appl. 351 392
[54]
[55]	Shin-Ichiro E,Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910
[56]	Kellogg R B,Kopteva N 2010 J. Differ. Eqns. 248 184
[57]
[58]
[59]	Suzuki R 2010 Adv. Differ. Eqns. 15 283
[60]	Mo J Q 2009 Sci. in China,Ser. G 52 1007
[61]
[62]
[63]	Mo J Q,Chen X F 2010 Chin. Phys. B 19 100203
[64]	Mo J Q,Lin Y H,Lin W T 2010 Chin. Phys. B 19 030202
[65]
[66]
[67]	Mo J Q 2010 Chin. Phys. B 19 010203.
[68]
[69]	Shi L F, Mo J Q 2010 Chin. Phys. B 19 050203
[70]
[71]	Zhou X C,Lin Y H,Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603
[72]	Zhou X C,Lin Y H,Wang H, Mo J Q 2009 Acta Oceanologica Sin. 28 1
[73]
[74]
[75]	Shi L F, Mo J Q 2009 Acta Phys. Sin. 58 8123 (in Chinese)[石兰芳、莫嘉琪 2009 物理学报 58 8123]
[76]	Zhou X C,Lin W T,Lin Y H, Mo J Q 2010 Acta Phys. Sin. 59 2173 (in Chinese)[周先春、林万涛、林一骅、莫嘉琪 2010 物理学报 59 2173]
[77]
[78]
[79]	Shi L F,Zhou X C 2010 Acta Phys. Sin. 59 2915 (in Chinese)[石兰芳、周先春 2010 物理学报 59 2915]
[80]
[81]	Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York:CRC Press CO)

Cited By

[1]	Parkes E J,Duffy B R 1996 Comp. Phys. Commun. 98 288
[2]	Wang M L 1995 Phys. Lett. A 199 169
[3]
[4]	Yan Z Y,Zhang H Q 2000 Acta Phys. Sin. 49 2113 (in Chinese)[闫振亚、张鸿庆 2000 物理学报 49 2113]
[5]
[6]	Fan E G 2000 Acta Phys. Sin. 49 1409 (in Chinese)[范恩贵 2000 物理学报 49 1409]
[7]
[8]	Parkes E J,Duffy B R,Abbott P C 2001 Phys. Lett. A 295 280
[9]
[10]
[11]	Liu S K,Liu S D,Fu Z T 2001 Acta Phys. Sin. 50 2068 (in Chinese)[刘式适、刘适达、付遵涛 2001 物理学报 50 2068]
[12]	Liu S D,Fu Z T,Liu S K,Zhao Q 2002 Acta Phys. Sin. 51 718 (in Chinese)[刘式达、付遵涛、刘式适、赵强 2002 物理学报 51 718]
[13]
[14]
[15]	Wu G J,Han J H,Shi L M,Zhang M 2006 Acta Phys. Sin. 55 3858 (in Chinese)[吴国将、韩家骅、史良马、张苗 2006 物理学报 55 3858]
[16]
[17]	Sirendaoreji,Sun J 2003 Phys. Lett. A 309 387
[18]	Taogetusang,Sirenlaoerji 2006 Acta Phys. Sin. 55 13 (in Chinese)[套格图桑、斯仁道尔吉 2006 物理学报 55 13]
[19]
[20]	Taogetusang,Sirenlaoerji 2006 Acta Phys. Sin. 55 3246 (in Chinese)[套格图桑、斯仁道尔吉 2006 物理学报 55 3246]
[21]
[22]
[23]	Li X Z,Li X Y,Zhao L Y, Zhang J L 2008 Acta Phys. Sin. 57 2203 (in Chinese)[李向正、李修勇、赵丽英、张金良 2008 物理学报 57 2203]
[24]
[25]	Ying J P,Lou S Y 2003 Chin. Phys. Lett. 20 1448
[26]	Ying J P,Zheng C L,Zhu J M 2005 Commun. Theor. Phys. 44 203
[27]
[28]	Fang J P,Zheng C L 2005 Chin. Phys. 14 670
[29]
[30]	Zhen Y B,Wang M L,Miao T D 2004 Phys. Lett. A 323 77
[31]
[32]
[33]	Li X Z Zhang J L,Wang Y M,Wang M L 2004 Acta Phys,Sin. 53 4045 (in Chinese)[李向正、张金良、王跃明、王明亮 2004 物理学报 53 4045]
[34]	Wang M L,Li X Z,Zhang J L 2008 Phys. Lett. A 372 417
[35]
[36]	Ma Y L,Li B Q,Sun J Z 2009 Acta Phys. Sin. 58 7402 (in Chinese)[马玉兰、李帮庆、孙践知 2009 物理学报 58 7402]
[37]
[38]	Zhang S I,Zhu X N,Wang Y M,Lou S Y 2008 Commun. Theor. Phys. 49 829
[39]
[40]
[41]	Zhang S I,Lou S Y 2007 Commun. Theor. Phys. 48 385
[42]	Taogetusang,Sirenlaoerji 2009 Acta Phys. Sin. 58 2121 (in Chinese)[套格图桑、斯仁道尔吉 2009 物理学报 58 2121]
[43]
[44]	Taogetusang,Sirenlaoerji 2009 Acta Phys. Sin. 58 5887 (in Chinese)[套格图桑、斯仁道尔吉 2009 物理学报 58 5887]
[45]
[46]
[47]	Zhou Z C,Ma S H,Fang J P,Ren Q B 2010 Acta Phys. Sin. 59 7540 (in Chinese)[周振春、马松华、方建平、任清褒 2010 物理学报 59 7540]
[48]
[49]	D'Aprile T,Pistoia A 2010 J. Differ. Equations,248 556
[50]
[51]	Barbu L,Morosanu G 2007 Singularly Perturbed Boundary-Value Problems Basel: Birkhauserm Verlag AG)
[52]
[53]	Barbu L,Cosma E 2009 J. Math. Anal. Appl. 351 392
[54]
[55]	Shin-Ichiro E,Matsuzawa H 2010 Discrete Contin. Dyn. Syst. 26 910
[56]	Kellogg R B,Kopteva N 2010 J. Differ. Eqns. 248 184
[57]
[58]
[59]	Suzuki R 2010 Adv. Differ. Eqns. 15 283
[60]	Mo J Q 2009 Sci. in China,Ser. G 52 1007
[61]
[62]
[63]	Mo J Q,Chen X F 2010 Chin. Phys. B 19 100203
[64]	Mo J Q,Lin Y H,Lin W T 2010 Chin. Phys. B 19 030202
[65]
[66]
[67]	Mo J Q 2010 Chin. Phys. B 19 010203.
[68]
[69]	Shi L F, Mo J Q 2010 Chin. Phys. B 19 050203
[70]
[71]	Zhou X C,Lin Y H,Lin W T, Mo J Q 2009 Chin. Phys. B 18 4603
[72]	Zhou X C,Lin Y H,Wang H, Mo J Q 2009 Acta Oceanologica Sin. 28 1
[73]
[74]
[75]	Shi L F, Mo J Q 2009 Acta Phys. Sin. 58 8123 (in Chinese)[石兰芳、莫嘉琪 2009 物理学报 58 8123]
[76]	Zhou X C,Lin W T,Lin Y H, Mo J Q 2010 Acta Phys. Sin. 59 2173 (in Chinese)[周先春、林万涛、林一骅、莫嘉琪 2010 物理学报 59 2173]
[77]
[78]
[79]	Shi L F,Zhou X C 2010 Acta Phys. Sin. 59 2915 (in Chinese)[石兰芳、周先春 2010 物理学报 59 2915]
[80]
[81]	Liao S J 2004 Beyond Perturbation: Introduction to the Homotopy Analysis Method (New York:CRC Press CO)

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Vol. 60, Issue 11 - 2011-06-05

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Asymptotic solution for fractal soliton of disturbed Nizhnik-Novikov-Veselov system

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Asymptotic solution for fractal soliton of disturbed Nizhnik-Novikov-Veselov system

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References

Cited By

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