Binary Bell Polynomials play an important role in the characterization of
bilinear equation. The bilinear form, bilinear B?cklund transformation and Lax
pairs for the modified Kadomtsev-Petviashvili equation are derived from the
Binary Bell Polynomials.
Hu, X.B., Lou, S.Y. and Qian, X.M. (2009) Nonlocal Symmetries for Bilinear Equations and Their Applications. Studies in Applied Mathematics, 122, 305-324. http://dx.doi.org/10.1111/j.1467-9590.2009.00435.x
Fan, E.G. and Hon, Y.C. (2008) Quasiperiodic Waves and Asymptotic Behavior for Bogoyvlenskii’s Breaking Soliton Equation in (2 + 1) Dimensions. Phyical Review E, 78, Article ID: 036607. http://dx.doi.org/10.1103/PhysRevE.78.036607
Fan, E.G. (2009) Quasi-Periodic Waves and Wsymptotic Property for the Asymmetrical Nizhnik-Novikov-Veselov Equation. Journal of Physics A Mathematical and Theoretical, 42, Article ID: 095206. http://dx.doi.org/10.1088/1751-8113/42/9/095206