Browsing by Subject "Double dispersion equation"
Now showing items 1-6 of 6
-
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 ... -
Existence and stability of traveling waves for a class of nonlocal nonlinear equations
(Elsevier, 2015-05-01)In this article we are concerned with the existence and orbital stability of traveling wave solutions of a general class of nonlocal wave equations: utt−Luxx=B(±|u|p−1u)xx, p>1. The main characteristic of this class of ... -
Global existence and blow-up of solutions for a general class of doubly dispersive nonlocal nonlinear wave equations
(Elsevier, 2013-01)This study deals with the analysis of the Cauchy problem of a general class of nonlocal nonlinear equations modeling the bi-directional propagation of dispersive waves in various contexts. The nonlocal nature of the problem ... -
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 ... -
Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations
(Elsevier, 2014-01)In this paper we study the global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, View the MathML source, where the nonlocality enters through two ...
Share this page