Unstable kink and anti-kink profile for the sine-Gordon equation on a \({\mathcal{Y}} \)-junction graph
DOI10.1007/s00209-021-02899-0zbMath1491.35389arXiv2101.02173OpenAlexW3209560981MaRDI QIDQ2114173
Ramón G. Plaza, Jaime Angulo Pava
Publication date: 15 March 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.02173
instabilityperturbation theorysine-Gordon modelmetric graphsextension theory\( \delta^{\prime}\)-type interactiontail and bump solutions
Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Soliton equations (35Q51) Perturbations in context of PDEs (35B20) Semilinear elliptic equations (35J61) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
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