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On the convergence of the nonlocal nonlinear model to the classical elasticity equation
(Elsevier, 2021-12)
We consider a general class of convolution-type nonlocal wave equations modeling bidirectional propagation of nonlinear waves in a continuous medium. In the limit of vanishing nonlocality we study the behavior of solutions ...
Convergence of a linearly regularized nonlinear wave equation to the p-system
(TÜBİTAK, 2023)
We consider a second-order nonlinear wave equation with a linear convolution term. When the convolution operator is taken as the identity operator, our equation reduces to the classical elasticity equation which can be ...
A comparison of solutions of two convolution-type unidirectional wave equations
(Taylor and Francis, 2023)
In this work, we prove a comparison result for a general class of nonlinear dispersive unidirectional wave equations. The dispersive nature of one-dimensional waves occurs because of a convolution integral in space. For ...
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