Figure 14: Quasi-paraxial interaction () between a lower-branch nonlinear surface wave (with ) and a unit-amplitude () soliton in regime 1 (mismatch parameters and ) with . (a) Evolution in of the peak amplitude of the solution. Parts (b), (c), and (d) show the full numerical solution of (5) when the nonlinearity exponent is , 2 and 3, respectively.