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Numerical computation of solitary wave solutions of the Rosenau equation
(Elsevier, 2020-11)
We construct numerically solitary wave solutions of the Rosenau equation using the Petviashvili iteration method. We first summarize the theoretical results available in the literature for the existence of solitary wave ...
A semi-discrete numerical method for convolution-type unidirectional wave equations
(Elsevier, 2021-05-15)
Numerical approximation of a general class of nonlinear unidirectional wave equations with a convolution-type nonlocality in space is considered. A semi-discrete numerical method based on both a uniform space discretization ...
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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