Dynamics of the Korteweg-de Vries equation on a balanced metric graph

DOI10.1007/s00574-024-00429-0MaRDI QIDQ6656096

Márcio André Araújo Cavalcante, Jaime Angulo Pava

Publication date: 2 January 2025

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

zbMATH Keywords

star graphbumpsnonlinear instabilityKorteweg-de Vries model\(\delta\)-type

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) General theory of ordinary differential operators (47E05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Soliton solutions (35C08) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

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