[1] Russell J S[J]. Rep. Meet. Brit. Assoc. Adv. Sci., 7th, 417(1837).

[2] Zabusky N J, Kruskal M D[J]. Phys. Rev. Lett., 15, 240(1965).

[3] Gardner C S, Greene J M, Kruskal M D, Miura R M[J]. Phys. Rev. Lett., 19, 1095(1976).

[4] Kivshar Y S, Malomed B A[J]. Rev. Mod. Phys., 61, 763(1989).

[5] Köttig F, Tani T, Travers J C, Russell P St J[J]. Phys. Rev. Lett., 118, 263902(2017).

[6] Wright L G, Christodoulides D N, Wise F W[J]. Science, 358, 94(2017).

[7] Dudley J M, Dias F, Erkintalo M, Genty G[J]. Nat. Photonics, 8, 755(2014).

[8] Stratmann M, Pagel T, Mitschke F[J]. Phys. Rev. Lett., 95, 143902(2005).

[9] Herink G, Kurtz F, Jalali B, Solli D R, Ropers C[J]. Science,, 356, 50(2017).

[10] Liu X M, Yao X K, Cui Y D[J]. Phys. Rev. Lett., 121, 023905(2018).

[11] Strogatz S[J]. Nature (London), 410, 268(2001).

[12] Forte S[J]. Rev. Mod. Phys., 64, 193(1992).

[13] Hertog T, Horowitz G T[J]. Phys. Rev. Lett., 94, 221301(2005).

[14] Drummond P D, Kheruntsyan K V, He H[J]. Phys. Rev. Lett., 81, 3055(1998).

[15] Lou S Y, Huang F[J]. Sci. Rep., 7, 869(2017).

[16] [J].

[17] Gu C H, Hu H S, Zhou Z X[J]. Darboux Transformations in Integrable Systems: Theory and their Applications to Geommetry, 1-64(2005).

[18] Li Y Q, Chen J C, Chen Y, Lou S Y[J]. Chin. Phys. Lett., 31, 010201(2014).

[19] Chen D Y[J]. Introduction on Solitons, 14-42(2006).

[20] Lou S Y[J]. J. Math. Phys., 59, 083507(2018).

[21] Hietarinta J[J]. J. Math. Phys., 28, 1732; 2094; 2586(1987).

[22] Chen K, Deng X, Lou S Y, Zhang D J[J]. Stud. Appl. Math., 141, 113(2018).

[23] Ablowitz M J, Musslimani Z H[J]. Nonlinearity, 29, 915(2016).

[24] Ablowitz M J, Kaup D J, Newell A C, Segur H[J], 53, 249(1974).

[25] Hietarinta J, Zhang D J[J]. J. Phys. A: Math. Theor., 42, 404006(2009).

[26] [J].

[27] Li C C, Lou S Y, Jia M[J]. Nonl. Dynamics,, 93, 1799(2018).

[28] Xu D H, Lou S Y[J]. Acta Phys. Sin., 69, 014208(2020).