Completely integrable nonlinear dynamical systems of the Langmuir chains type

DOI10.1007/BF02358982zbMath0929.34023OpenAlexW2094991804MaRDI QIDQ1277558

Vladimir N. Sorokin

Publication date: 16 January 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02358982

zbMATH Keywords

integrable systemscontinuous fractionsLangmuir chainsMarkov fractions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Additive difference equations (39A10)

Related Items (8)

Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials ⋮ Inverse spectral problem for band operators and their sparsity criterion in terms of inverse problem data ⋮ An inverse spectral problem for a special class of band matrices and Bogoyavlensky lattice ⋮ On the Links between Miura Transformations of Bogoyavlensky Lattices and Inverse Spectral Problems for Band Operators ⋮ Dynamics and interpretation of some integrable systems via multiple orthogonal polynomials ⋮ Stieltjes continued fraction and QD algorithm: scalar, vector, and matrix cases ⋮ Matrix Hermite-Padé problem and dynamical systems ⋮ Convergence conditions for vector Stieltjes continued fractions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Three integrable Hamiltonian systems connected with isospectral deformations
• Discrete analog of the Korteweg-de Vries (KdV) equation: Integration by the method of the inverse problem
• Integrations of nonlinear dynamic systems with the method of inverse spectral problems
• Perturbation theory for a Schrödinger equation containing a polynomial potential

This page was built for publication: Completely integrable nonlinear dynamical systems of the Langmuir chains type