3-tangential polynomials and \(t\)-periodic solutions of the KdV equation

DOI10.1007/s11005-006-0072-8zbMath1157.14019OpenAlexW2048688332MaRDI QIDQ2457225

Pierre Flédrich

Publication date: 30 October 2007

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

Full work available at URL: https://doi.org/10.1007/s11005-006-0072-8

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) KdV equations (Korteweg-de Vries equations) (35Q53) Relationships between algebraic curves and integrable systems (14H70)

Cites Work

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• Tangential polynomials and elliptic solitons
• Elliptic solutions of the Korteweg-de Vries equation
• Loop groups and equations of KdV type
• New elliptic potentials
• Finite-gap elliptic solutions of the KdV equation
• Matrix elliptic solitons
• Treibich-Verdier potentials and the stationary (m)KdV hierarchy
• Solutions of the KdV equation elliptic in \(t\)
• Theta functions and non-linear equations
• Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem
• NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

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