On stationary problems for equations of korteweg-de vries type

DOI10.1002/cpa.3160340205zbMath0456.35075OpenAlexW2023337205MaRDI QIDQ3905844

S. I. Al'ber

Publication date: 1981

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160340205

zbMATH Keywords

Korteweg-de Vries equationstationary solutionsHamiltonian systemfirst integralspotentialsBloch eigenfunctionseigenfunctions of the periodic Schrödinger operatorLax- Novikov problemMoser-Trubowitz isomorphism

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

Stationary problems for equation of the KdV type and dynamical r-matrices ⋮ Stäckel representations of stationary KdV systems ⋮ On finite-zone solutions of relativistic Toda lattices ⋮ Parametric representation of the finite-band solution of the Heisenberg equation ⋮ The Stäckel systems and algebraic curves ⋮ Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy ⋮ An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy ⋮ A New Approach to the Boussinesq Hierarchy ⋮ Algebrotopological approach to the reality problem. Real action variables in the theory of finite-zone solutions of the sine-Gordon equation

Cites Work

• Hamiltonian formalism for the Novikov-Krichever equations for the commutativity of two operators
• Investigation of Equations of Korteweg-De Vries Type by the Method of Recurrence Relations

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