Browsing Natural and Mathematical Sciences by Subject "Double dispersion equation"
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The Camassa-Holm approximation to the double dispersion equation for arbitrarily long times
(Springer, 2022-09)In the present paper we prove the validity of the Camassa-Holm equation as a long wave limit to the double dispersion equation which describes the propagation of bidirectional weakly nonlinear and dispersive waves in an ... -
Instability and stability properties of traveling waves for the double dispersion equation
(Elsevier, 2016-03)In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation View the MathML source for View the MathML source, View the MathML source. The ... -
Some remarks on the stability and instability properties of solitary waves for the double dispersion equation
(Estonian Academy of Sciences, 2015)In this article we give a review of our recent results on the instability and stability properties of travelling wave solutions of the double dispersion equation utt − uxx + auxxxx − buxxtt = −(|u|p−1u)xx for p > 1, a ≥ b ...
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