Algebraic-geometric solutions of the Krichever-Novikov equation

DOI10.1007/BF02557203zbMath0994.37037MaRDI QIDQ5930801

D. P. Novikov

Publication date: 10 October 2002

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

zbMATH Keywords

theta functionsalgebraic-geometric solutionsKP equationKrichever-Novikov equationzero-curvature representation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Theta functions and abelian varieties (14K25) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20)

Related Items (5)

On Lie algebras responsible for integrability of \((1+1)\)-dimensional scalar evolution PDEs ⋮ Lie algebras responsible for zero-curvature representations of scalar evolution equations ⋮ Peakon solutions of Alice-Bob \(b\)-family equation and Novikov equation ⋮ Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations ⋮ Exact Traveling Wave Solutions of the Krichever–Novikov Equation: A Dynamical System Approach

Cites Work

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• Landau-Lifshitz equation: solitons, quasi-periodic solutions and infinite-dimensional Lie algebras
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