Helmholtz-type solitary wave solutions in nonlinear elastodynamics

This paper studies two nonlinear wave models. From the dynamical systems approach and using the singular traveling wave theory developed by [Li & Chen, 2007], all possible bounded solutions (solitary wave solutions, periodic wave solutions, as well as kink and anti-kink wave solutions) are obtained under different parameter conditions. More than 27 explicit exact parametric representations are derived. The new results complete the recent studies of [Rogers et al., 2020; Zayeda et al., 2020].

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Helmholtz-type solitary wave solutions in nonlinear elastodynamics

Cited by 4 publications

References 15 publications

Nonlinear longitudinal deformations of an elastic rod under the action of a non-stationary singular source

Nonlinear longitudinal deformations of an elastic rod under the action of a non-stationary singular source

The Gardner Equation in Elastodynamics

Bifurcations and Exact Traveling Wave Solutions in Two Nonlinear Wave Systems

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