Residual Symmetry, Bäcklund Transformation, and Soliton Solutions of the Higher-Order Broer-Kaup System

Figure 2

Plot (a) and (b) to the resonant soliton solution of and with . (a) is a graph of , which shows that two kink solitary waves collide and fuse into a resonant soliton solution at . (b) is a graph of , which shows that two bell solitary waves collide and fuse into a resonant soliton solution at .

(a)

(b)