Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation
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DOI: 10.1007/s00009-019-1361-7
Abstract: This paper studies the orbital stability and instability of solitary wave solutions of the generalized symmetric regularized long-wave-type equations. It is shown that a traveling wave may be stable or unstable depending on the range… read more here.
Keywords: regularized long; stability instability; long wave; symmetric regularized ... See more keywords
Stability of Lamb Dipoles
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DOI: 10.1007/s00205-022-01782-4
Abstract: The Lamb dipole is a traveling wave solution to the two-dimensional Euler equations introduced by S. A. Chaplygin (1903) and H. Lamb (1906) at the early 20th century. We prove orbital stability of this solution… read more here.
Keywords: stability lamb; orbital stability; lamb dipoles; stability ... See more keywords
Orbital stability of periodic traveling wave solutions for the Kawahara equation
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DOI: 10.1063/1.4980016
Abstract: In this paper, we investigate the orbital stability of periodic traveling waves for the Kawahara equation. We prove that the periodic traveling wave, under certain conditions, minimizes a convenient functional by using an adaptation of… read more here.
Keywords: stability periodic; periodic traveling; kawahara equation; orbital stability ... See more keywords
Orbital stability and spectral properties of solitary waves of Klein–Gordon equation with concentrated nonlinearity
Sign Up to like & getrecommendations! Published in 2021 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2021063
Abstract: We obtain explicit characterization of orbital and spectral stability of solitary wave solutions to the \begin{document}$ {\bf{U}}(1) $\end{document} -invariant 1D Klein–Gordon equation coupled to an anharmonic oscillator. We also give the complete analysis of the… read more here.
Keywords: gordon equation; stability spectral; klein gordon; orbital stability ... See more keywords