Discrete periodic problem for the modified nonlinear Korteweg-de Vries equation

DOI10.1007/BF01027608zbMath0549.34025OpenAlexW2037421999MaRDI QIDQ800549

Nikolai N. jun. Bogoliubov, Anatoliy K. Prykarpatsky, Valeriy H. Samoylenko

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf01027608

zbMATH Keywords

algorithmmodified Korteweg-de Vries equationperiodic probleminverse scattering problemnonlinear differential-difference equationsmultivariate Riemann theta function

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Boundary value problems for functional-differential equations (34K10) Boundary value and inverse problems for harmonic functions in two dimensions (31A25) Ordinary differential operators (34L99)

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Cites Work

• E-compact extensions of topological spaces
• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Indicators of an entire function and the regularity of the growth of the Fourier coefficients of the logarithm of its modulus
• Analogue of Inverse Scattering Theory for the Discrete Hill's Equation and Exact Solutions for the Periodic Toda Lattice
• The Modified Korteweg-de Vries Equation
• On the Toda Lattice. II: Inverse-Scattering Solution
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