Abstract
Formation of solitary wave trains is studied within the scope of the hyperelastic rod equation. The model equation is integrated numerically for the harmonic initial conditions using the discrete Fourier transform-based pseudospectral method. Numerical simulations are carried out for a wide range of material parameters. The analysis of the temporal and spatial behaviour of numerical solutions shows that (i) under a certain condition on material parameters trains of interacting solitary waves form from initial sinusoidal wave and (ii) the behaviour of emerging solitary waves is very close to that of solitons.
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