A rich literature of BKK equation is reviewed here as Yu and Xin
[2] analyzed PainlevȨ property and derived infinitely many symmetries of Eq. (1.1). Zhang et al.
[3] used truncated PainlevȨ expansion method and obtained some soliton solutions of generalized BK equations. With the aid of variable separation approach, H.M. LI
[4] found localized coherent structures of Eq. (1.1) and introduced its soliton solutions. H.C. Ma
[5] derived Lie symmetries and then found exact dromion solutions. Thereafter, Fang and Zheng
[6] studied BKK equation and derived nonelastic soliton solutions using extended mapping approach. Some soliton and periodic solutions were constructed by wang and Chen
[7]. Zhang and Xia
[8] proposed Fan sub-equation method and dummyTXdummy- used it to generated soliton and periodic solutions of Eq. (1.1). Continuing with same method, E. Yomba
[9] investigated some general non-traveling wave solutions. Using Exp-function method via Riccati equation, some exact solutions of BKK equation were derived by S. Zhang
[10]. Later on, Zhang et al.
[11] employed
-expansion method to Eq. (1.1) and listed some exact solutions. By means of symbolic computation and Hirota bilinear method, some soliton solutions were constructed by X.Y. Wen
[12]. Moreover, Hu and Chen
[13] derived nonlocal symmetries for BKK equation and studied its soliton and periodic solutions. By virtue of symbolic computation and Bell polynomial approach, Lan et al.
[14] investigated some soliton solutions of Eq. (1.1). Furthermore, Kassem and Rashed
[15] generated optimal system of Lie symmetries and derived some particular exact solutions. Some Wronskian solutions were introduced by Tang et al.
[16] using Hirota method and bell polynomial approach. Recently, Kumar et al. used Lie symmetry method and found some exact solutions
[17].