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Considering the interspecies and intraspecies interactions as being repulsive, we study the dynamic behaviors of the gray-gray and black-black solitons in two-species Bose-Einstein condensates trapped in the harmonic external potentials. The results show that in the absence of the axial trapping frequencies, both the gray-gray and black-black solitons can keep localization stable. In the presence of the axial trapping frequencies, the gray-gray can be converted into bright-bright solitons.
[1] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2] Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[3] Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E 1999 Phys. Rev. Lett. 83 2498
[4] Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[5] Liu X X, Pu H, Xiong B, Liu W M, Gong J B 2009 Phys. Rev. A 79 013423
[6] Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1134
[7] Huang G X, Li X Q, Szeftel J 2004 Phys. Rev. A 69 065601
[8] Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612
[9] Yu H Y, Pan L X, Yan J R, Tang J Q 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025301
[10] Luo M, Bao C G, Li Z B 2008 J. Phys. B: At. Mol. Opt. Phys. 41 245301
[11] Liu X X, Zhang X F, Zhang P 2010 Chin. Phys. Lett. 27 070306
[12] Yan J R, Pan L X, Yu H Y, Ao S M 2009 Chin. Phys. Lett. 26 090301
[13] Li L, Malomed B A, Mihalache D, Liu W M 2006 Phys. Rev. E 73 066610
[14] Cheng Y S 2009 J. Phys. B: At. Mol. Opt. Phys. 42 205005
[15] Xiong B, Gong J B 2010 Phys. Rev. A 81 033618
[16] Xuan H N, Zuo M 2011 Commun. Theor. Phys. 56 1035
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[18] Shrestha U, Javanainen J, Ruostekosk J 2009 Phys. Rev. Lett. 103 190401
[19] Hamner C, Chang J J, Engels P, Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[20] He Z M, Wang D L, Ding J W, Yan X H 2012 Acta Phys. Sin. 61 230508 (in Chinese) [何章明, 王登龙, 丁建文, 颜晓红 2012 物理学报 61 230508]
[21] Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[22] Zhao L C, He S L 2011 Phys. Lett. A 375 3017
[23] Wen L, Liu W M, Cai Y, Zhang J M, Hu J 2012 Phys. Rev. A 85 043602
[24] He Z M, Wang D L, Ding J W, Yan X H 2012 Eur. Phys. J. D 66 139
[25] Chen Z, Wu B 2010 Phys. Rev. A 81 043611
[26] Wu L, Li L, Zhang J F 2009 Phys. Rev. A 80 013617
[27] Xue J K, Peng P 2006 Chin. Phys. B 15 1149
[28] Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 92 054101
[29] Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[30] Huang G X 2004 Chin. Phys. B 13 1866
[31] Wang S J, Jia C L, Zhao D, Luo H G, An J H 2003 Phys. Rev. A 68 015601
[32] Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[33] Wu B, Liu J, Niu Q 2002 Phys. Rev. Lett. 88 034101
[34] Li Z D, Li QY, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[35] Li Z D, Li Q Y, He P B, Bai Z G, Sun Y B 2007 Ann. Phys. 322 2945
[36] He Z M, Wang D L, Zhang W X, Wang F J, Ding J W 2008 Chin. Phys. Lett. 25 3158
[37] Papp S B, Pino J M, Wieman C E 2008 Phys. Rev. Lett. 101 040402
[38] Ronen S, Bohn J L, Halmo L E, Edwards M 2008 Phys. Rev. A 78 053613
[39] Miesner H J, Stamper-Kurn D M, Andrews M R, Durfee D S, Inouye S, Ketterle W 1998 Science 279 1005
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[1] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2] Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[3] Matthews M R, Anderson B P, Haljan P C, Hall D S, Wieman C E 1999 Phys. Rev. Lett. 83 2498
[4] Zhang X F, Hu X H, Liu X X, Liu W M 2009 Phys. Rev. A 79 033630
[5] Liu X X, Pu H, Xiong B, Liu W M, Gong J B 2009 Phys. Rev. A 79 013423
[6] Pu H, Bigelow N P 1998 Phys. Rev. Lett. 80 1134
[7] Huang G X, Li X Q, Szeftel J 2004 Phys. Rev. A 69 065601
[8] Wang D S, Hu X H, Liu W M 2010 Phys. Rev. A 82 023612
[9] Yu H Y, Pan L X, Yan J R, Tang J Q 2009 J. Phys. B: At. Mol. Opt. Phys. 42 025301
[10] Luo M, Bao C G, Li Z B 2008 J. Phys. B: At. Mol. Opt. Phys. 41 245301
[11] Liu X X, Zhang X F, Zhang P 2010 Chin. Phys. Lett. 27 070306
[12] Yan J R, Pan L X, Yu H Y, Ao S M 2009 Chin. Phys. Lett. 26 090301
[13] Li L, Malomed B A, Mihalache D, Liu W M 2006 Phys. Rev. E 73 066610
[14] Cheng Y S 2009 J. Phys. B: At. Mol. Opt. Phys. 42 205005
[15] Xiong B, Gong J B 2010 Phys. Rev. A 81 033618
[16] Xuan H N, Zuo M 2011 Commun. Theor. Phys. 56 1035
[17] Morsch O, Oberthaler M 2006 Rev. Mod. Phys. 78 179
[18] Shrestha U, Javanainen J, Ruostekosk J 2009 Phys. Rev. Lett. 103 190401
[19] Hamner C, Chang J J, Engels P, Hoefer M A 2011 Phys. Rev. Lett. 106 065302
[20] He Z M, Wang D L, Ding J W, Yan X H 2012 Acta Phys. Sin. 61 230508 (in Chinese) [何章明, 王登龙, 丁建文, 颜晓红 2012 物理学报 61 230508]
[21] Li L, Li Z D, Malomed B A, Mihalache D, Liu W M 2005 Phys. Rev. A 72 033611
[22] Zhao L C, He S L 2011 Phys. Lett. A 375 3017
[23] Wen L, Liu W M, Cai Y, Zhang J M, Hu J 2012 Phys. Rev. A 85 043602
[24] He Z M, Wang D L, Ding J W, Yan X H 2012 Eur. Phys. J. D 66 139
[25] Chen Z, Wu B 2010 Phys. Rev. A 81 043611
[26] Wu L, Li L, Zhang J F 2009 Phys. Rev. A 80 013617
[27] Xue J K, Peng P 2006 Chin. Phys. B 15 1149
[28] Zhang C W, Liu J, Raizen M G, Niu Q 2004 Phys. Rev. Lett. 92 054101
[29] Huang G X, Velarde M G, Makarov V A 2001 Phys. Rev. A 64 013617
[30] Huang G X 2004 Chin. Phys. B 13 1866
[31] Wang S J, Jia C L, Zhao D, Luo H G, An J H 2003 Phys. Rev. A 68 015601
[32] Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[33] Wu B, Liu J, Niu Q 2002 Phys. Rev. Lett. 88 034101
[34] Li Z D, Li QY, Li L, Liu W M 2007 Phys. Rev. E 76 026605
[35] Li Z D, Li Q Y, He P B, Bai Z G, Sun Y B 2007 Ann. Phys. 322 2945
[36] He Z M, Wang D L, Zhang W X, Wang F J, Ding J W 2008 Chin. Phys. Lett. 25 3158
[37] Papp S B, Pino J M, Wieman C E 2008 Phys. Rev. Lett. 101 040402
[38] Ronen S, Bohn J L, Halmo L E, Edwards M 2008 Phys. Rev. A 78 053613
[39] Miesner H J, Stamper-Kurn D M, Andrews M R, Durfee D S, Inouye S, Ketterle W 1998 Science 279 1005
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