Linear instability criterion for the Korteweg–de Vries equation on metric star graphs
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Publication:4990902
DOI10.1088/1361-6544/abea6bzbMath1468.35164arXiv2006.12571OpenAlexW3036961979MaRDI QIDQ4990902
Jaime Angulo Pava, Márcio André Araújo Cavalcante
Publication date: 1 June 2021
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.12571
instabilityperturbation theorystar graphextension theory\(\delta\)-type interactionKorteweg-de Vries model
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Linear symmetric and selfadjoint operators (unbounded) (47B25) Soliton equations (35Q51) Perturbations in context of PDEs (35B20) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Related Items (4)
Standing waves on quantum graphs ⋮ Asymptotic Stability of KdV Solitons on the Half-Line: A Study in the Energy Space ⋮ Instability theory of kink and anti-kink profiles for the sine-Gordon equation on Josephson tricrystal boundaries ⋮ Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph
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