Browsing Natural and Mathematical Sciences by Subject "Benjamin–Bona–Mahony equation"
Now showing items 1-3 of 3
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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 ... -
Unidirectional wave motion in a nonlocally and nonlinearly elastic medium: The KdV, BBM and CH equations
(Estonian Academy of Sciences, 2015)We consider unidirectional wave propagation in a nonlocally and nonlinearly elastic medium whose constitutive equation is given by a convolution integral with a suitable kernel function. We first give a brief review of ...
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