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By using multiple-scale method, we study analytically the soliton characteristics of the two-dimensional condensates with two- and three-body interaction. The results show that a ring dark soliton can be found in the condensates when the two-body interaction is repulsive and three-body interaction is attractive. With the strength of the three-body interaction decreasing, the height of the center peak of the ring dark soliton decreases. When the three-body interaction vanishes, the ring dark soliton becomes a perfect dark soliton. If the two- and the three-body interaction are both repulsive,the width and the amplitude of the dark soliton decrease with the strength of the three-body interaction increasing. Especially, if the strength of the three-body interaction is large, which is on the order of that of the two-body interaction, the condensat collapse takes place.
[1] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2] Denschlag J, Simsarian J E, Feder D L, Clark C K, Collins L A, Deng L, Hagley E W, Helmerson K, Reinhardt W P, Rolston S L, Schneider B I, Phillips W D 2000 Science 287 97
[3] Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[4] Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y, Salomon C 2002 Science 296 1290
[5] Wang D L, Yan X H, Liu W M 2008 Phys. Rev. E 78 026606
[6] Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602
[7] Li Z D, Li Q Y, He P B, Liang J Q, Liu W M, Fu G S 2010 Phys. Rev. A 81 015602
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[9] Theocharis G, Schmelcher P, Oberthaler M K, Kevrekidis P G, Frantzeskakis D J 2005 Phys. Rev. A 72 023609
[10] Zhou Z, Yu H Y, Yan J R 2010 Chin. Phys. B 19 010103
[11] Song W W, Li Q Y, Li Z D, Fu G S, 2010 Chin. Phys. B 19 070503
[12] Zhang T, Yang Z Y, Zhao L C, Yue R H 2010 Chin. Phys. B 19 070502
[13] Ao S M, Yan J R 2006 Chin. Phys. 15 0296
[14] He Z M, Wang D L 2007 Acta Phys. Sin. 56 3088 (in Chinese) [何章明、王登龙 2007 56 3088]
[15] Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[16] Zhang W X, Wang D L, He Z M, Wang F J, Ding J W 2008 Phys. Lett. A 372 4407
[17] Huang G X, Szeftel J, Zhu S H 2002 Phys. Rev. A 65 053605
[18] Zhang W X, Wang D L, Ding J W 2008 Acta Phys. Sin. 57 6786 (in Chinese) [张蔚曦、王登龙、丁建文 2008 57 6786]
[19] Zhang A X, Xue J K 2008 Chin. Phys. Lett. 25 39
[20] Abdullaev F K, Kamchatnov A M, Konotop V V, Brazhnyi V A 2003 Phys. Rev. Lett. 90 230402
[21] Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[22] Wu L, Jiang R J, Pei Y H, Zhang J F 2007 Phys. Rev. A 75 037601
[23] Kamchatnov A M, Salerno S 2009 J. Phys. B: At. Mol. Opt. Phys. 42 185303
[24] Zhang A X, Xue J K 2007 Phys. Rev. A 75 013624
[25] Wen W, Shen S Q, Huang G X, 2010 Phys. Rev. B 81 014528
[26] She Y C, Wang D L, Zhang W X, He Z M, Ding J W 2010 J. Opt. Soc. Am. B 27 208
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[1] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K 1999 Phys. Rev. Lett. 83 5198
[2] Denschlag J, Simsarian J E, Feder D L, Clark C K, Collins L A, Deng L, Hagley E W, Helmerson K, Reinhardt W P, Rolston S L, Schneider B I, Phillips W D 2000 Science 287 97
[3] Strecker K E, Partridge G B, Truscott A G, Hulet R G 2002 Nature 417 150
[4] Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y, Salomon C 2002 Science 296 1290
[5] Wang D L, Yan X H, Liu W M 2008 Phys. Rev. E 78 026606
[6] Ji A C, Sun Q, Xie X C, Liu W M 2009 Phys. Rev. Lett. 102 023602
[7] Li Z D, Li Q Y, He P B, Liang J Q, Liu W M, Fu G S 2010 Phys. Rev. A 81 015602
[8] Li G Q, Chen H J, Xue J K, 2010 Acta Phys. Sin. 59 1449 (in Chinese)[李高清、陈海军、薛具奎 2010 59 1449]
[9] Theocharis G, Schmelcher P, Oberthaler M K, Kevrekidis P G, Frantzeskakis D J 2005 Phys. Rev. A 72 023609
[10] Zhou Z, Yu H Y, Yan J R 2010 Chin. Phys. B 19 010103
[11] Song W W, Li Q Y, Li Z D, Fu G S, 2010 Chin. Phys. B 19 070503
[12] Zhang T, Yang Z Y, Zhao L C, Yue R H 2010 Chin. Phys. B 19 070502
[13] Ao S M, Yan J R 2006 Chin. Phys. 15 0296
[14] He Z M, Wang D L 2007 Acta Phys. Sin. 56 3088 (in Chinese) [何章明、王登龙 2007 56 3088]
[15] Liang Z X, Zhang Z D, Liu W M 2005 Phys. Rev. Lett. 94 050402
[16] Zhang W X, Wang D L, He Z M, Wang F J, Ding J W 2008 Phys. Lett. A 372 4407
[17] Huang G X, Szeftel J, Zhu S H 2002 Phys. Rev. A 65 053605
[18] Zhang W X, Wang D L, Ding J W 2008 Acta Phys. Sin. 57 6786 (in Chinese) [张蔚曦、王登龙、丁建文 2008 57 6786]
[19] Zhang A X, Xue J K 2008 Chin. Phys. Lett. 25 39
[20] Abdullaev F K, Kamchatnov A M, Konotop V V, Brazhnyi V A 2003 Phys. Rev. Lett. 90 230402
[21] Zhang X F, Yang Q, Zhang J F, Chen X Z, Liu W M 2008 Phys. Rev. A 77 023613
[22] Wu L, Jiang R J, Pei Y H, Zhang J F 2007 Phys. Rev. A 75 037601
[23] Kamchatnov A M, Salerno S 2009 J. Phys. B: At. Mol. Opt. Phys. 42 185303
[24] Zhang A X, Xue J K 2007 Phys. Rev. A 75 013624
[25] Wen W, Shen S Q, Huang G X, 2010 Phys. Rev. B 81 014528
[26] She Y C, Wang D L, Zhang W X, He Z M, Ding J W 2010 J. Opt. Soc. Am. B 27 208
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