Step Soliton Generalized Solutions of the Shallow Water Equations

Figure 3

Quotient of wave celerity for two formulations. In the case (a), only nonlinear effect was simulated. In the case (b), the dispersive and nonlinear have the same order 𝜎=𝑂(𝜇).

(a) Nonlinear effect

(b) Nonlinear and dispersive of the same order 𝜎=𝑂(𝜇)