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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 ...
Derivation of generalized Camassa-Holm equations from Boussinesq-type equations
(Informa Group, 2016)
In this paper we derive generalized forms of the Camassa-Holm (CH) equation from a Boussinesq-type equation using a two-parameter asymptotic expansion based on two small parameters characterizing nonlinear and dispersive ...
On the decoupling of the improved Boussinesq equation into two uncoupled Camassa-Holm equations
(American Institute of Mathematical Sciences, 2017-06)
We rigorously establish that, in the long-wave regime characterized by the assumptions of long wavelength and small amplitude, bidirectional solutions of the improved Boussinesq equation tend to associated solutions of two ...
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