Analytical Solutions for the Elastic Circular Rod Nonlinear Wave, Boussinesq, and Dispersive Long Wave Equations

Figure 2

The solitary wave and behavior of the solutions 𝐻(𝑥,𝑡)=2−2tanh²(𝑥+𝑡) for 0⩽𝑡⩽1 and −10⩽𝑥⩽10.