Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians

DOI10.1088/0266-5611/17/4/329zbMath0988.35139OpenAlexW1995712175MaRDI QIDQ2747541

Yuri N. Fedorov, Mark S. Alber

Publication date: 22 July 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d63eada9486902c4ae4a257dadc3b06e27ffe3a7

zbMATH Keywords

shallow-water equationDym-type equationquasi-periodic and soliton-type solutionstheta- and tau-functions

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

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