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

Figure 5

(a) The interaction solution between soliton and sine-cosine wave of in equation (29) by substituting (27) and (31), with parameters: {}. (b) The interaction solution between soliton-cnoidal wave of in equation (29) by substituting (27) and (32), with parameters: {}. (c) and (d) are the overhead view of the wave (a) and (b).This interaction solution reflects the elastic collision.

(a)

(b)

(c)

(d)