[1] Guo B, Pan X[J]. Chin. Phys. Lett., 7, 241(1990).
[2] Lou S Y, Ni G J, Huang G X[J]. Commun. Theor. Phys., 17, 67(1992).
[3] Chabchoub A, Hoffmann N P, Akhmediev N[J]. Phys. Rev. Lett., 106, 204502(2011).
[4] Chabchoub A, Hoffmann N, Onorato M, et al.[J]. Phys. Rev. X, 2, 011015(2012).
[5] Chabchoub A, Hoffmann N, Onorato M, et al.[J]. Phys. Rev. E, 86, 056601(2012).
[6] Chen Z, Segev M, et al[J]. Opt. Lett., 21, 1821(1996).
[7] Chen Z, Segev M, et al[J]. J. Opt. Soc. Am. B, 14, 1407(1997).
[8] Guo Q, Luo B, Yi F, Chi S, Xie Y[J]. Phys. Rev. E, 69, 016602(2004).
[9] Deng D, Guo Q[J]. Opt. Lett., 32, 3206(2007).
[10] Solli D R, Ropers C, Koonath P, et al.[J]. Nature, 450, 1054(2007).
[11] Kibler B, Fatome J, Finot C, et al.[J]. Nat. Phys., 6, 790(2010).
[12] Dudley J M, Genty G, Dias F, et al.[J]. Opt. Express, 17, 21497(2009).
[13] Liu X[J]. Phys. Rev. A, 84, 053828(2011).
[14] Kibler B, Fatome J, Finot C, et al.[J]. Sci. Rep., 2, 463(2012).
[15] Jia J, Lin J[J]. Opt. Express, 20, 7469(2012).
[16] Zhang Y, Belic M, Wu Z, Zheng H, Lu K, Li Y, Zhang Y[J]. Opt. Lett., 38, 4585(2013).
[17] Lin J, Chen W W, Jia J[J]. J. Opt. Soc. Am. A, 31, 188(2014).
[18] Liu W, Pang L, Han H, Shen Z, Lei M, Teng H, Wei Z[J]. Photon. Research, 4, 111(2016).
[19] Liu W, Pang L, Yan H, Ma G, Lei M, Wei Z[J]. EuroPhys. Lett., 116, 64002(2016).
[20] Liu X, Yao X, Cui Y[J]. Phys. Rev. Lett., 121, 023905(2018).
[21] Liu X, Popa D, Akhmediev N[J]. Phys. Rev. Lett., 123, 093901(2019).
[22] Bailung H, Sharma S K, Nakamura Y[J]. Phys. Rev. Lett., 107, 255005(2011).
[23] Tsai Y Y, Tsai J Y, Lin I[J]. Nat. Phys., 12, 573(2016).
[24] Zhang W, Walls D F[J]. Phys. Rev. Lett., 72, 60(1994).
[25] Zhang W, Walls D F[J]. Phys. Rev. A, 49, 3799(1994).
[26] Burger S, Bongs K, Dettmer S, et al.[J]. Phys. Rev. Lett., 83, 5198(1999).
[27] Denschlag J, Simsarian J E, Feder D L, et al.[J]. Science, 287, 97(2000).
[28] Huang G X[J]. Chin. Phys. Lett., 18, 628(2001).
[29] Khaykovich L, Schreck F, Ferrari G, et al.[J]. Science, 296, 1290(2002).
[30] Strecker K E, Partridge G B, Truscott A G, et al.[J]. Nature, 417, 150(2002).
[31] Liang Z X, Zhang Z D, Liu W M[J]. Phys. Rev. Lett., 94, 050402(2005).
[32] Bludov Y V, Konotop V V, Akhmediev N[J]. Phys. Rev. A, 80, 033610(2009).
[33] Zhao D, Luo H G, Chai H Y[J]. Phys. Lett. A, 372, 5644(2008).
[34] Feng B, Zhao D[J]. J. Differ. Equations, 260, 2973(2016).
[35] Zeng J, Malomed B A[J]. Phys. Rev. E, 95, 052214(2017).
[36] Yao Y Q, Han W, Li J, Liu W M[J]. J. Phys. B, 51, 105001(2018).
[37] Wang D S, Liu J, Wang L[J]. Phys. Lett. A, 382, 799(2018).
[39] Shats M, Punzmann H, Xia H[J]. Phys. Rev. Lett., 104, 104503(2010).
[40] Daniel M, Kavitha L, Amuda R[J]. Phys. Rev. B, 59, 13774(1999).
[41] Daniel M, Beula J[J]. Chaos, Solitons Fractals, 41, 1842(2009).
[42] Daniel M, Beula J[J]. Phys. Lett. A, 373, 2841(2009).
[43] Zhao F, Li Z D, Li Q Y, et al[J]. Ann. Phys., 327, 2085(2012).
[44] Qi J W, Li Z D, Yang Z Y, et al.[J]. Phys. Lett. A, 381, 1874(2017).
[45] Yan Z[J]. Commun. Theor. Phys., 54, 947(2010).
[46] Yan Z[J]. Phys. Lett. A, 375, 4274(2011).
[47] Wu Y, Zhao L C, Lei X K[J]. Eur. Phys. J. B, 88, 297(2015).
[48] Zheludev N I, Kivshar Y S[J]. Nat. Mater., 11, 917(2012).
[49] Wen S, Wang Y, Su W, Xiang Y, Fu X, Fan D[J]. Phys. Rev. E, 73, 036617(2006).
[50] Xiong H, Gan J, Wu Y[J]. Phys. Rev. Lett., 119, 153901(2017).
[51] Konotop V V, Yang J, Zezyulin D A[J]. Rev. Mod. Phys., 88, 035002(2016).
[52] Lou S Y, Huang F[J]. Sci. Rep., 7, 869(2017).
[53] Polo J, Ahufinger V[J]. Phys. Rev. A, 88, 053628(2013).
[54] McDonald G D, Kuhn C C N, Hardman K S, et al.[J]. Phys. Rev. Lett., 113, 013002(2014).
[55] Helm J L, Cornish S L, Gardiner S A[J]. Phys. Rev. Lett., 114, 134101(2015).
[56] Zhao L C, Ling L, Yang Z Y, Liu J[J]. Nonlinear Dyn., 83, 659(2016).
[57] Solli D R, Ropers C, Jalali B[J]. Phys. Rev. Lett., 101, 233902(2008).
[58] Frisquet B, Chabchoub A, Fatome J, et al.[J]. Phys. Rev. A, 89, 023821(2014).
[59] Gertjerenken B, Billam T P, Blackley C L, et al.[J]. Phys. Rev. Lett., 111, 100406(2013).
[60] Fatome J, Kibler B, Finot C[J]. Opt. Lett., 38, 1663(2013).
[61] Yang G, Wang Y, Qin Z, et al.[J]. Phys. Rev. E, 90, 062909(2014).
[62] Zhao L C[J]. Phys. Rev. E, 97, 062201(2018).
[63] Hasegawa A, Tappert F[J]. Appl. Phys. Lett., 23, 171(1973).
[64] Zakharov V E, Shabat A B[J]. Sov. Phys. JETP, 37, 823(1973).
[65] Kivshar Y S, Luther-Davies B[J]. Phys. Rep., 298, 81(1998).
[66] Kivshar Y S[J]. Phys. Rev. A, 43, 1677(1991).
[67] Kivshar Y S, Afanasjev V V[J]. Phys. Rev. A, 44, R1446(1991).
[68] Dong G, Liu Z[J]. Opt. Commun., 128, 8(1996).
[69] Li Z, Li L, Tian H, et al.[J]. Phys. Rev. Lett., 84, 4096(2000).
[70] Zhao L C, Li S C, Ling L[J]. Phys. Rev. E, 89, 023210(2014).
[71] Liu C, Yang Z Y, Zhao L C, et al.[J]. Phys. Rev. E, 91, 022904(2015).
[72] Ren Y, Yang Z Y, Liu C, et al.[J]. Phys. Lett. A, 379, 2991(2015).
[73] Liu C, Yang Z Y, Zhao L C, et al.[J]. Phys. Rev. E, 94, 042221(2016).
[74] Zhao L C, Li S C, Ling L[J]. Phys. Rev. E, 93, 032215(2016).
[75] Peregrine D H[J]. J. Australas. Math. Soc. Ser. B, 25, 16(1983).
[76] Akhmediev N N, Korneev V I[J]. Theor. Math. Phys., 1089(1986).
[77] Kuznetsov E A[J]. Akademiia Nauk SSSR Doklady, 236, 575(1977).
[78] Ma Y C[J]. Stud. Appl. Math., 60, 43(1979).
[79] Tajiri M, Watanabe Y[J]. Phys. Rev. E, 57, 3510(1998).
[80] Priya N V, Senthilvelan M, Lakshmanan M[J]. Phys. Rev. E, 88, 022918(2013).
[81] Liu C[J]. Ph. D. Dissertation(2016).
[82] Chowdury A, Ankiewicz A, Akhmediev N[J]. Proc. R. Soc. A, 471, 20150130(2015).
[83] Zakharov V E, Gelash A A[J]. Phys. Rev. Lett., 111, 054101(2013).
[84] Kibler B, Chabchoub A, Gelash A, Akhmediev N, Zakharov V E[J]. Phys. Rev. X, 5, 041026(2015).
[85] Zhang J H, Wang L, Liu C[J]. Proc. R. Soc. A, 473, 20160681(2017).
[86] Liu C, Ren Y, Yang Z Y, Yang W L[J]. Chaos, 27, 083120(2017).
[87] Liu C, Yang Z Y, Yang W L[J]. Chaos, 28, 083110(2018).
[88] Ren Y, Liu C, Yang Z Y, Yang W L[J]. Phys. Rev. E, 98, 062223(2018).
[90] Xu G, Gelash A, Chabchoub A, Zakharov V, Kibler B[J]. Phys. Rev. Lett., 122, 084101(2019).
[91] Liu C, Yang Z Y, Yang W L, Akhmediev N[J]. J. Opt. Soc. Am. B, 36, 1294(2019).
[92] Guo B, Ling L[J]. Chin. Phys. Lett., 28, 110202(2011).
[93] Guo B, Ling L, Liu Q P[J]. Phys. Rev. E, 85, 026607(2012).
[94] Ling L, Zhao L C[J]. Phys. Rev. E, 88, 043201(2013).
[95] Ling L, Guo B, Zhao L C[J]. Phys. Rev. E, 89, 041201(R)(2014).
[96] Zhao L C, Liu J[J]. J. Opt. Soc. Am. B, 29, 3119(2012).
[97] Zhao L C, Liu J[J]. Phys. Rev. E, 87, 013201(2013).
[98] Zhao L C, Xin G G, Yang Z Y[J]. Phys. Rev. E, 90, 022918(2014).
[99] Baronio F, Conforti M, Degasperis A, et al.[J]. Phys. Rev. Lett., 111, 114101(2013).
[100] Baronio F, Conforti M, Degasperis A, et al.[J]. Phys. Rev. Lett., 113, 034101(2014).
[101] Zhao L C, Ling L, Yang Z Y, Liu J[J]. Commun. Nonlinear Sci. Numer. Simul., 23, 21(2015).
[102] Chen S, Cai X M, Grelu P, et al.[J]. Opt. Express, 24, 5886(2016).
[103] Ling L, Zhao L C, Yang Z Y, et al.[J]. Phys. Rev. E, 96, 022211(2017).
[104] Yan Z[J]. Nonlinear Dyn., 79, 2515(2015).
[105] Wen X Y, Yang Y, Yan Z[J]. Phys. Rev. E, 92, 012917(2015).
[106] Zhao L C, Guo B, Ling L[J]. J. Math. Phys., 57, 043508(2016).
[107] Zhang G, Yan Z, Wen X Y, Chen Y[J]. Phys. Rev. E, 95, 042201(2017).
[108] Li M, Shui J J, Xu T[J]. Appl. Math. Lett., 83, 110(2018).
[109] Zhao L C, Ling L[J]. arXiv: 1410.7536; 2016 J. Opt. Soc.Am. B, 33, 850(2014).
[110] Baronio F, Chen S, Grelu P, et al.[J]. Phys. Rev. A, 91, 033804(2015).
[111] He J S, Xu S, Porsezian K[J]. J. Phys. Soc. Jpn., 81, 124007(2012).
[112] Xu S, He J S, Cheng Y, Porseizan K[J]. Math. Meth. Appl. Sci., 38, 1106?(2015).
[113] Xu S, He J S[J]. J. Math. Phys., 53, 063507(2012).
[114] Zhao L C, Yang Z Y, Ling L[J]. J. Phys. Soc. Jpn., 83, 104401(2014).
[115] Zhao L C, Liu C, Yang Z Y[J]. Commun. Nonlinear Sci. Numer. Simul., 20, 9(2015).
[116] Akhmediev N, Soto-Crespo J M, Ankiewicz A[J]. Phys. Rev. A, 80, 043818(2009).
[117] He J S, Zhang H R, Wang L H, Porsezian K, Fokas A S[J]. Phys. Rev. E, 87, 052914(2013).
[118] Wang L, He J S, Xu H, Wang J, Porsezian K[J]. Phys. Rev. E, 95, 042217(2017).
[119] Zakharov V E, Ostrovsky L A[J]. Physica D, 238, 540(2009).
[120] Hammani K, Wetzel B, Kibler B, et al.[J]. Opt. Lett., 36, 2140(2011).
[121] Soto-Crespo J M, Ankiewicz A, Devine N, et al.[J]. J. Opt. Soc. Am. B, 29, 1930(2012).
[122] Forest M G, McLaughlin D W, Muraki D J, et al.[J]. J. Nonlinear Sci., 10, 291(2000).
[123] Hirota R[J]. J. Math. Phys., 14, 805(1973).
[124] Sasa N, Satsuma J[J]. J. Phys. Soc. Jpn., 60, 409(1991).
[125] Duan L, Zhao L C, Xu W H, et al.[J]. Phys. Rev. E, 95, 042212(2017).
[126] Li P, Wang L, Kong L Q, et al.[J]. Appl. Math. Lett., 85, 110(2018).
[127] Erkintalo M, Genty G, Wetzel B, et al.[J]. Phys. Lett. A, 375, 2029(2011).
[128] Agrawal G P[J]. Nonlinear Fiber Optics(2007).
[129] Kevrekidis P G, Frantzeskakis D, Carretero-Gonzalez R[J]. Emergent Nonlinear Phenomena in BoseEinstein Condensates: Theory and Experiment(2007).
[130] Kawaguchi Y, Ueda M[J]. Phys. Rep., 520, 253(2012).
[131] Gao P, Duan L, Zhao L C, et al.[J]. Chaos, 29, 083112(2019).
[132] Duan L, Yang Z Y, Zhao L C, et al.[J]. J. Mod. Opt., 63, 1397(2016).
[133] Liu X S, Zhao L C, Duan L, et al.[J]. Chin. Phys. B, 26, 120503(2017).
[134] Liu C, Yang Z Y, Zhao L C, et al.[J]. Ann. Phys., 362, 130(2015).
[135] Wang L, Li S, Qi F H[J]. Nonlinear Dyn., 85, 389(2016).
[136] Wang X, Liu C, Wang L[J]. Chaos, 27, 093106(2017).
[137] Blanco-Redondo A, De Sterke C M, Sipe J E, et al.[J]. Nat. Commun., 7, 10427(2016).
[138] Daniel M, Kavitha L[J]. Phys. Rev. B, 63, 172302(2001).
[139] Tao Y, He J S[J]. Phys. Rev. E, 85, 026601(2012).
[140] Wang L H, Porsezian K, He J S[J]. Phys. Rev. E, 87, 053202(2013).
[141] Ankiewicz A, Wang Y, Wabnitz S, et al.[J]. Phys. Rev. E, 89, 012907(2014).
[142] Chowdury A, Kedziora D J, Ankiewicz A, et al.[J]. Phys. Rev. E, 90, 032922(2014).
[143] Yang Y, Yan Z, Malomed B A[J]. Chaos, 25, 103112(2015).
[144] Chowdury A, Kedziora D J, Ankiewicz A, et al.[J]. Phys. Rev. E, 91, 032928(2015).
[145] Ankiewicz A, Kedziora D J, Chowdury A, et al.[J]. Phys. Rev. E, 93, 012206(2016).
[146] Wang L, Zhang J H, Wang Z Q, et al.[J]. Phys. Rev. E, 93, 012214(2016).
[147] Zhao L C, Ling L, Yang Z Y[J]. Phys. Rev. E, 97, 022218(2018).
[148] Duan L, Yang Z Y, Gao P, et al.[J]. Phys. Rev. E, 99, 012216(2019).
[149] Wen X Y, Yan Z, Boris A, Malomed [J]. Chaos, 26, 123110(216).
[150] Wen X Y, Yan Z[J]. J. Math. Phys., 59, 073511(2018).
[151] Wen X Y, Yan Z[J]. Commun. Nonlinear. Sci. Numer. Simul., 43, 311(2017).
[152] Ohta Y, Yang J[J]. Phys. Rev. E, 86, 036604(2012).
[153] Yang B, Chen Y[J]. Appl. Math. Lett., 82, 43(2018).
[154] Li M, Xu T, Meng D[J]. J. Phys. Soc. Jpn., 85, 124001(2016).
[155] Xu T, Li H, Zhang H, et al.[J]. Appl. Math. Lett., 63, 88(2017).
[156] Dai C Q, Zhu H P[J]. J. Opt. Soc. Am. B, 30, 3291(2013).
[157] Chen J, Chen Y, Feng B F, Maruno K[J]. Phys. Lett. A, 379, 1510(2015).
[158] Zhang X, Chen Y, Tang X[J]. Comput. Math. Appl., 76, 1938(2018).
[159] Qian C, Rao J G, Liu Y B, He J S[J]. Chin. Phys. Lett., 33, 110201(2016).
[160] Zhang X, Chen Y[J]. Commun. Nonlinear. Sci. Numer. Simul., 52, 24(2017).
[161] Liu Y K, and Li B[J]. Chin. Phys. Lett., 34, 010202(2017).
[164] Rao J, Porsezian K, He J S[J]. Chaos, 27, 083115??(2017).
[165] Rao J, Porsezian K, He J S, Kanna T[J]. Proc. R. Soc. A, 474, 20170627(2018).
[166] Zeng L, Zeng J, Kartashov Y V, Malomed B A[J]. Opt. Lett., 44, 1206(2019).