Qualitative analysis and calculations of finite-gap solutions of the Korteweg-de Vries equation. Automorphic approach

DOI10.1007/BF01018298zbMath0662.35116OpenAlexW2057621833MaRDI QIDQ1113391

D. A. Kubenskij, Alexander Ivanovich Bobenko

Publication date: 1987

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01018298

zbMATH Keywords

phase velocitiesPoincaré seriesKdV equationfinite-gap solutionscharacteristicswave numbersSchottky uniformisation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Partial differential equations of mathematical physics and other areas of application (35Q99) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Numerical solutions of the Korteweg-de Vries equation using the periodic scattering transform \(\mu\)-representation

Cites Work

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• A Direct Method of Calculating Periodic Wave Solutions to Nonlinear Evolution Equations. I. Exact Two-Periodic Wave Solution
• The double cnoidal wave of the Korteweg–de Vries equation: An overview