The theory is used to give a rigorous geometric sufficient condition for instability. The theory is abstract and applies to a wide range of solitary wave states ...
Abstract. We analyze the stability of periodic, traveling-wave solutions to the Kawahara equation and some of its generalizations.
Jun 21, 2018 · Abstract:We analyse the stability of periodic, travelling-wave solutions to the Kawahara equation and some of its generalizations.
Mar 3, 2022 · Abstract:The Kawahara equation is a weakly nonlinear long-wave model of dispersive waves that emerges when leading order dispersive effects ...
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The stability of spatially periodic traveling waves, generated by a long-wavelength oscillatory instability, is investigated. The modified Kawahara equation ...
In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation.
In this paper, we present the first result concerning the orbital stability of periodic traveling waves for the modified Kawahara equation. Our method is based ...
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Jun 21, 2018 · A formal perturbation method is introduced to determine the asymptotic growth rates of small-amplitude, periodic, traveling-wave solutions ...
[PDF] Spectral stability of wave trains in the Kawahara equation
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We study the stability of spatially periodic solutions to the Kawahara equation, a fifth order, nonlinear partial differential equation.
This paper investigates the orbital stability of periodic traveling wave solutions to the generalized Long-Short wave equations { i ε t + ε x x = n ε + α | ε | ...