On the local coordinates on the manifold of finite-gap solutions of the KdV equation

DOI10.1007/BF02405812zbMath0872.35097OpenAlexW2040361906MaRDI QIDQ677277

Ramil' F. Bikbaev

Publication date: 28 May 1997

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/68289

zbMATH Keywords

hyperelliptic curvefinite-gap solutionnondegeneracy result

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Elliptic curves (14H52)

Cites Work

• Characterization of Jacobian varieties in terms of soliton equations
• On the parametrization of finite-gap solutions by frequency and wavenumber vectors and a theorem of I. Krichever
• Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory
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