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The solition wave in Bose-Einstein condensate with disk-shaped trap is investigated in this paper. Beyond the mean field, a two-dimensional nonlinear Schrödinger equation is obtained. The modulational instability for this system is studied analytically, and the growth rate for it is given.
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Keywords:
- soliton /
- instability /
- Bose-Einstein condensate
[1] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[2] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊2007 56 4348]
[3] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[4] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[5] Wen W, Huang G X 2009 Phys. Rev. A 79 023605
[6] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰2006 55 5623]
[7] Madison K, Chevy F, Bretin V, Dalibard J 2000 Phys. Rev. Lett. 84 806
[8] Svidzinsky A A, Fetter A L 2000 Phys. Rev. Lett. 84 5919
[9] Jochin S, Bartenstein M, Altmeyer A, Hendl G, Hecker Denschlag J, Grimm R 2004 Phys. Rev. Lett. 91 240402
[10] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[11] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[12] Wu Y, Yang X X 2003 Phys. Rev. A 68 013608
[13] Hu B B, Huang G X, Ma Y L 2004 Phys. Rev. A 69 063608
[14] Legget A J 2003 Rev. Mod. Phys. 75 1083
[15] Trombettoni A, Smerzi A 2001 Phys. Rev. Lett. 86 2353
[16] Gerton J M, Strekalov D, Prodan I, Hulet R G 2001 Nature 408 692
[17] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[18] Liu J, Fu L B, Ou B Y, Chen S G, Chin D, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[19] Bradley C C, Sackett C A, Hulet R G 1997 Phys. Rev. Lett. 78 985
[20] Huang G X 2001 Chin. Phys. Lett. 18 628
[21] Yang X X, Shi Y R, Duan W S 2008 Commun. Theor. Phys. 49 119
[22] Hang G X, Zhu S H 2002 Chin. Phys. Lett. 19 17
[23] Duan W S, Chen J H, Yang H J, Shi Y R, Wang H Y 2006 Chin. Phys. Lett. 23 2000
[24] Song S W, Wang D S, Wang H Q, Liu W M 2012 Phys. Rev. A 85 063617
[25] Liang G Z, Han J N, Lin M M, Wei J N, Duan W S 2009 Phys. Plasmas 16 073705
[26] Jiang X, Gao X Y, Li S C, Shi Y R, Duan W S 2009 Appl. Math. Comp. 214 60
[27] Tian D X, He G J, Han J N, Duan W S 2009 Commun. Theor. Phys. 51 529
[28] Li S C, Han J N, Duan W S 2009 Physica B 404 1235
[29] Li S C, Duan W S 2008 Commun. Theor. Phys. 50 655
[30] Li B, Zhang X F, Li Y Q, Chen Y, Liu W M 2008 Phys. Rev. A 78 023608
[31] Hu X H, Zhang X F, Zhao D, Luo H G, Liu W M 2009 Phys. Rev. A 79 023619
[32] Han J N, Du S L, Duan W S 2008 Phys. Plasmas 15 112104
[33] Duan W S, Parkes J, Zhang L 2004 Phys. Plasmas 11 3762
[34] Gammal A, Frederico T, Tomio L, Chomaz P 2000 Phys. Rev. A 61 051602
[35] Kagan Y, Muryshev A E, Shlyapnikov G V 1998 Phys. Rev. Lett. 81 933
[36] Dalfovo F, Giorgini S, Pitaevskii L, Stringari S 1999 Rev. Mod. Phys. 71 463
[37] Duan W S, Parkes J, Lin M M 2005 Phys. Plasmas 12 022106
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[1] Wen W, Shen S Q, Huang G X 2010 Phys. Rev. B 81 014528
[2] Zang X F, Li J P, Tan L 2007 Acta Phys. Sin. 56 4348 (in Chinese) [臧小飞, 李菊萍, 谭磊2007 56 4348]
[3] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[4] Li S C, Fu L B, Duan W S, Liu J 2008 Phys. Rev. A 78 063621
[5] Wen W, Huang G X 2009 Phys. Rev. A 79 023605
[6] Ma Y, Fu L B, Yang Z A, Liu J 2006 Acta Phys. Sin. 55 5623 (in Chinese) [马云, 傅立斌, 杨志安, 刘杰2006 55 5623]
[7] Madison K, Chevy F, Bretin V, Dalibard J 2000 Phys. Rev. Lett. 84 806
[8] Svidzinsky A A, Fetter A L 2000 Phys. Rev. Lett. 84 5919
[9] Jochin S, Bartenstein M, Altmeyer A, Hendl G, Hecker Denschlag J, Grimm R 2004 Phys. Rev. Lett. 91 240402
[10] Wang G F, Fu L B, Liu J 2006 Phys. Rev. A 73 13619
[11] Liu J, Wu B, Niu Q 2003 Phys. Rev. Lett. 90 170404
[12] Wu Y, Yang X X 2003 Phys. Rev. A 68 013608
[13] Hu B B, Huang G X, Ma Y L 2004 Phys. Rev. A 69 063608
[14] Legget A J 2003 Rev. Mod. Phys. 75 1083
[15] Trombettoni A, Smerzi A 2001 Phys. Rev. Lett. 86 2353
[16] Gerton J M, Strekalov D, Prodan I, Hulet R G 2001 Nature 408 692
[17] Men F D, Liu H, Fan Z L, Zhu H Y 2009 Chin. Phys. B 18 2649
[18] Liu J, Fu L B, Ou B Y, Chen S G, Chin D, Wu B, Niu Q 2002 Phys. Rev. A 66 023404
[19] Bradley C C, Sackett C A, Hulet R G 1997 Phys. Rev. Lett. 78 985
[20] Huang G X 2001 Chin. Phys. Lett. 18 628
[21] Yang X X, Shi Y R, Duan W S 2008 Commun. Theor. Phys. 49 119
[22] Hang G X, Zhu S H 2002 Chin. Phys. Lett. 19 17
[23] Duan W S, Chen J H, Yang H J, Shi Y R, Wang H Y 2006 Chin. Phys. Lett. 23 2000
[24] Song S W, Wang D S, Wang H Q, Liu W M 2012 Phys. Rev. A 85 063617
[25] Liang G Z, Han J N, Lin M M, Wei J N, Duan W S 2009 Phys. Plasmas 16 073705
[26] Jiang X, Gao X Y, Li S C, Shi Y R, Duan W S 2009 Appl. Math. Comp. 214 60
[27] Tian D X, He G J, Han J N, Duan W S 2009 Commun. Theor. Phys. 51 529
[28] Li S C, Han J N, Duan W S 2009 Physica B 404 1235
[29] Li S C, Duan W S 2008 Commun. Theor. Phys. 50 655
[30] Li B, Zhang X F, Li Y Q, Chen Y, Liu W M 2008 Phys. Rev. A 78 023608
[31] Hu X H, Zhang X F, Zhao D, Luo H G, Liu W M 2009 Phys. Rev. A 79 023619
[32] Han J N, Du S L, Duan W S 2008 Phys. Plasmas 15 112104
[33] Duan W S, Parkes J, Zhang L 2004 Phys. Plasmas 11 3762
[34] Gammal A, Frederico T, Tomio L, Chomaz P 2000 Phys. Rev. A 61 051602
[35] Kagan Y, Muryshev A E, Shlyapnikov G V 1998 Phys. Rev. Lett. 81 933
[36] Dalfovo F, Giorgini S, Pitaevskii L, Stringari S 1999 Rev. Mod. Phys. 71 463
[37] Duan W S, Parkes J, Lin M M 2005 Phys. Plasmas 12 022106
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