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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 ...
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 ...
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 ...
Orbital stability of periodic standing waves for the cubic fractional nonlinear Schrödinger equation
(Elsevier, 2022-12-25)
In this paper, the existence and orbital stability of the periodic standing wave solutions for the nonlinear fractional Schrödinger (fNLS) equation with cubic nonlinearity is studied. The existence is determined by using ...
On the stability of solitary wave solutions for a generalized fractional Benjamin–Bona–Mahony equation
(IOP Publishing, 2022-03-03)
In this paper we establish a rigorous spectral stability analysis for solitary waves associated to a generalized fractional Benjamin-Bona-Mahony type equation. Besides the well known smooth and positive solitary wave with ...
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