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Soliton excitation with high-oder-nonlinearity of spinor Bose-Einstein condensate in an optical lattice is studied in detail. The exact solution for bright soliton which is expressed as an elliptic integral is found, and the analytic solution for dark soliton with particular parameters is presented. The energy is also found.
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Keywords:
- spinor Bose-Einstein condensates /
- higher-oder nonlinearity /
- elliptic integral /
- soliton excitations
[1] Miesner H J, Stamper-Kurn D M, Stenger J, Inouye S, Chikkatur A P, Kettler W 1999 Phys. Rev. Lett. 82 2228
[2] Ohmi T, Machida K 1999 J. Phys. Soc. Jpn. 67 1822
[3] Pu H, Zhang W P, Meystre P 2001 Phys. Rev. Lett. 87 140405
[4] Cross K, Search C P, Pu H, Zhang W P, Meystre P 2002 Phys. Rev. Lett. 88 033603
[5] Xie Z W, Zhang W P, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[6] Xie Y D 2009 Commun. Theor. Phys. 51 445
[7] Zhang W P, Pu H, Search C, Meystre P 2002 Phys. Rev. Lett. 88 060401
[8] Yu Z X, Liang J Q, Jiao Z Y 2005 Commun. Theor. Phys. 44 837
[9] Pushkarov D I, Pushkarov K I 1977 Phys. Lett. A 61 339
[10] Xiong Y Q, He B P, Li Y N 1995 Special Subject Analysis in Modern Basic Physics (Guangzhou: South China University of Technology Press) pp285-305 (in Chinese) [熊钰庆, 何宝鹏, 李永宁 1995 近代物理学基础专题分析 (广州: 华南理工大学出版社) 第285—-305页]
[11] Tsoy E N 2010 Phys. Rev. A 82 063829
[12] Ablowitz M J, Clarkson P A 1991 Soliton, Nonlinear Evolution Equations Scattering (New York: Cambridge University Press)
[13] Xie Y D 2012 Acta Phys. Sin. 61 023201 (in Chinese) [谢元栋 2012 61 023201]
[14] Greenhill A G 1959 The Applications of Elliptic Functions (New York: Dover Pub)
[15] Byrd P F, Friedman M D 1954 Handbook of Elliptic Intergrals for Engineers and Physicists (Berlin: Springer Verlag)
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[1] Miesner H J, Stamper-Kurn D M, Stenger J, Inouye S, Chikkatur A P, Kettler W 1999 Phys. Rev. Lett. 82 2228
[2] Ohmi T, Machida K 1999 J. Phys. Soc. Jpn. 67 1822
[3] Pu H, Zhang W P, Meystre P 2001 Phys. Rev. Lett. 87 140405
[4] Cross K, Search C P, Pu H, Zhang W P, Meystre P 2002 Phys. Rev. Lett. 88 033603
[5] Xie Z W, Zhang W P, Chui S T, Liu W M 2004 Phys. Rev. A 69 053609
[6] Xie Y D 2009 Commun. Theor. Phys. 51 445
[7] Zhang W P, Pu H, Search C, Meystre P 2002 Phys. Rev. Lett. 88 060401
[8] Yu Z X, Liang J Q, Jiao Z Y 2005 Commun. Theor. Phys. 44 837
[9] Pushkarov D I, Pushkarov K I 1977 Phys. Lett. A 61 339
[10] Xiong Y Q, He B P, Li Y N 1995 Special Subject Analysis in Modern Basic Physics (Guangzhou: South China University of Technology Press) pp285-305 (in Chinese) [熊钰庆, 何宝鹏, 李永宁 1995 近代物理学基础专题分析 (广州: 华南理工大学出版社) 第285—-305页]
[11] Tsoy E N 2010 Phys. Rev. A 82 063829
[12] Ablowitz M J, Clarkson P A 1991 Soliton, Nonlinear Evolution Equations Scattering (New York: Cambridge University Press)
[13] Xie Y D 2012 Acta Phys. Sin. 61 023201 (in Chinese) [谢元栋 2012 61 023201]
[14] Greenhill A G 1959 The Applications of Elliptic Functions (New York: Dover Pub)
[15] Byrd P F, Friedman M D 1954 Handbook of Elliptic Intergrals for Engineers and Physicists (Berlin: Springer Verlag)
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