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

Figure 5

The solitary wave and behavior of the solutions ℎ(𝑥,𝑦,𝑡)=−1/3+4/3csch²(𝑥−2/3𝑦+𝑡) for 𝑡=0, −4⩽𝑥⩽4, and −4⩽𝑦⩽4.