A numerical dressing method for the nonlinear superposition of solutions of the KdV equation

DOI10.1088/0951-7715/27/1/67zbMath1302.65234arXiv1305.5616OpenAlexW3098925251MaRDI QIDQ5746370

Thomas Trogdon, Bernard Deconinck

Publication date: 18 February 2014

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5616

zbMATH Keywords

Riemann surfacesKorteweg-de Vries equationRiemann-Hilbert problemsnumerical resultfinite-genus solutionsCauchy initial value problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Riemann-Hilbert problems in context of PDEs (35Q15)

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