Orbital Stability and Instability of Solitary Waves for a Class of Dispersive Symmetric Regularized Long-Wave Equation
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
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 Smooth Solitary Waves for the Novikov Equation
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DOI: 10.1007/s00332-024-10098-4
Abstract: We study the orbital stability of smooth solitary wave solutions of the Novikov equation, which is a Camassa–Holm-type equation with cubic nonlinearities. These solitary waves are shown to exist as a one-parameter family (up to… read more here.
Keywords: equation; stability smooth; solitary waves; smooth solitary ... 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 of a chain of dark solitons for general non-integrable Schrödinger equations with non-zero condition at infinity
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DOI: 10.1088/1361-6544/ae05a8
Abstract: In this article, we focus on the stability of dark solitons for a general one-dimensional nonlinear Schrödinger equation. More precisely, we prove the orbital stability of a chain of well-prepared traveling waves whose speeds are… read more here.
Keywords: schr dinger; stability chain; stability; solitons general ... See more keywords
Low mass contact binaries: Orbital stability at extreme low mass ratios.
Sign Up to like & getrecommendations! Published in 2024 at "Monthly Notices of the Royal Astronomical Society"
DOI: 10.1093/mnras/stae2511
Abstract: With the ever-increasing number of light curve solutions of contact binary systems, an increasing number of potential bright red nova progenitors are being reported. There remains, however, only one confirmed event. In the present study,… read more here.
Keywords: contact binaries; low mass; orbital stability; mass ... 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