Explicit solutions to two-dimensionalized Volterra equations

DOI10.1007/BF00943429zbMath0459.35076OpenAlexW2072825838MaRDI QIDQ1152032

A. N. Leznov, V. G. Smirnov, Mikhail V. Saveliev

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00943429

zbMATH Keywords

explicit solutionsLie algebraToda latticeBäcklund transformationKorteweg-de Vries equationsVolterra equationstwo-dimensionalized Volterra equations

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Partial differential equations of mathematical physics and other areas of application (35Q99) Scattering theory of linear operators (47A40)

Related Items (2)

Lotka-Volterra-type equations and their explicit integration ⋮ Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

Cites Work

• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• A Canonical Transformation for the Exponential Lattice
• Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation

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