[1] Bose S N[J]. Z. Phy., 26, 178(1924).

[2] Anderson M H, Ensher J R, Matthews M R, Wieman C E, Cornell E A[J]. Science, 269, 198(1995).

[3] Tsurumi T[J]. Int. J. Mod. Phys. B, 14, 655(2000).

[4] Malomed B A[J]. Soltion Management in Periodic Systems, 1, 1-6(2006).

[5] Wang D S, Hu X H, Hu J, Liu W M[J]. Phys. Rev. A, 81, 025604(2010).

[6] Burger S, Bongs K, Dettmer S, Ertmer W, Sengstock K, Sanpera A, Shlyapnikov G V, Lewenstein M[J]. Phys. Rev. Lett., 83, 5198(1999).

[7] Khaykovich L, Schreck F, Ferrari G, Bourdel T, Cubizolles J, Carr L D, Castin Y, Salomon C[J]. Science, 296, 1290(2002).

[8] Ku M J H, Ji W, Mukherjee B, Guardado S E, Cheuk L W, Yefash T, Zwierlein M W[J]. Phys. Rev. Lett., 113, 065301(2014).

[9] Yu H Y, Yan J R, Xie Q T[J]. Chin. Phys. Lett., 21, 1881(2004).

[10] Wang Z X, Zhang X H, Shen K[J]. Chin. Phys. B, 17, 3270(2008).

[11] Li J H, Kuang L M[J]. Commun. Theor. Phys., 39, 44(2003).

[12] EtienneW B, Alidou M D, Timoléon C K[J]. Phys. Rev. E, 77, 046216(2008).

[13] Zhang W, Wright E M, Pu H, Meystre P[J]. Phys. Rev. A, 68, 023605(2003).

[14] Abdullaev F Kh, Gammal A, Tomio L, Frederico T[J]. Phys. Rev. A, 63, 043604(2001).

[15] Chang N N, Yu Z F, Zhang A X, Xue J K[J]. Chin. Phys. B, 26, 115202(2017).

[16] Etienne W, Porsezian K, Alidou M, Timoléon C K[J]. Phys. Lett. A, 377, 262(2013).

[17] Chin C, Kraemer T, Mark M, Herbig J, Waldburger P, Nagerl H C, Grimm R[J]. Phys. Rev. Lett., 94, 123201(2005).

[18] Peng P, Li G Q[J]. Chin. Phys. B, 18, 3221(2009).

[19] Ruan H Y, Chen Y X[J]. Acta. Phys. Sin., 4, 0586(2001).

[20] Saito H, Ueda M[J]. Phys. Rev. Lett., 86, 1406(2001).

[21] Fiho V S, Gammal A, Frederico T, Tomio L[J]. Phys. Rev. A, 62, 033605(2000).

[22] Meng D X, Li K Z[J]. Phys. Rev. Lett., 33, 19150123(2019).

[23] Wahlquist H D, Estabreok F B[J]. Phys. Rev. Lett., 31, 1386(1973).

[24] Radhakrishnan R, Sahadcvan R, Lakshmanan M[J]. Chaos, Solitons Fractals, 5, 2315(1995).

[25] Weiss J, Tabor M, Carneval G[J]. J. Math. Phys., 24, 6(1983).

[26] Wang D S, Liu J[J]. Appl. Math. Lett., 79, 211(2018).

[27] Wen L, Liang Y, Zhou J, Yu P, Xia L, Niu L B, Zhang X F[J]. Acta Phys. Sin., 68, 080301(2019).

[28] Dmitry E P, Andrey A S, Yuri S K[J]. Phys. Rev. E, 70, 036618(2004).

[29] Tang N, Yang X Y, Feng W X, Song L, Li X L, Xi Z H, Wang D S, Shi Y R[J]. Physica A, 528, 1(2019).

[30] Akozbek N, John S[J]. Phys. Rev. E, 57, 2287(1998).

[31] Mingaleev S F, Kivshar Yu S[J]. Phys. Rev. Lett., 86, 5474(2001).

[32] Louis P J Y, Ostrovskaya E A, Kivshar Yu S[J]. Phys. Rev. A, 71, 023612(2005).

[33] Eiermann B, Anker Th, Albiez M, Taglieber M, Treutlein M, Marzlin K P, Oberthaler M K[J]. Phys. Rev. Lett., 92, 230401(2004).

[34] Zhu J, Bian C L, Wang H C[J]. Chin. Phys. B, 28, 093701(2019).

[35] Li Y, Hai W H[J]. Commun. Theor. Phys., 44, 840(2005).

[36] Eddy T, Paolo T, Mahir H, Arthur K[J]. Phys. Rep., 315, 199(1999).

[37] Bao W[J]. Dynamics In Models Of Coarsening, Coagulation, Condensation And Quantization., 1, 147-149(2007).

[38] Yang J K[J]. Nonlinear Waves in Integrable and Nonintegrable Systems, 1, 269-283(2010).

[39] Kostov N A, Enolśkii V Z, Gerdjikov V S, [J]. Phys. Rev. E, 70, 056617(2004).

[40] Catarina C, Vitor Nistor, Yu Q[J]. Operator Theory: Advances and Applications, 1, 20-24(2017).

[41] Yang J K[J]. J. Comput. Phys., 228, 7007(2009).

[42] Tang H Y[J]. J. BJUT. Tech., 11, 69(1985).

[43] Royer C W, Neill M O’, Wright S J[J]. Math. Program., 1-38(2018).

[44] Zhang Q, Li S, Lei Y, Zhang X D[J]. J. Control Theory Appl., 10, 223(2012).

[45] Allen A J, Zuccher S, Caliari M, Proukakis N, Parker N G, Barenghi C F[J]. Phys. Rev. A, 90, 013601(2014).

[46] Adhikari S F, Malomed B A[J]. Europhys. Lett., 79, 50003(2007).