Theta functions, Gaussian series, and spatially periodic solutions of the Korteweg–de Vries equation

DOI10.1063/1.525380zbMath0502.35009OpenAlexW1978650561MaRDI QIDQ3967858

John P. Boyd

Publication date: 1982

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.525380

zbMATH Keywords

solitary wavestheta functionsspatially periodic solutionsGaussian seriesKorteweg- de Vries equationpolycnoidal waves

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Solitary waves for incompressible inviscid fluids (76B25) Series solutions to PDEs (35C10) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Cites Work

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• A New Form of Backlund Transformations and Its Relation to the Inverse Scattering Problem
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES
• The Complete Solution of the Long‐Wave–Short‐Wave Resonance Equations
• Some solutions pertaining to the resonant interaction of long and short waves