Search
Now showing items 1-6 of 6
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 ...
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 ...
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 ...
The cauchy problem for a one-dimensional nonlinear elastic peridynamic model
(Elsevier, 2012-04-15)
This paper studies the Cauchy problem for a one-dimensional nonlinear peridynamic model describing the dynamic response of an infinitely long elastic bar. The issues of local well-posedness and smoothness of the solutions ...
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 ...
Share this page