Asymptotic transitions from discrete to continuous models

DOI10.1007/BF01016850zbMath0672.35068MaRDI QIDQ1120079

Leonid A. Kalyakin

Publication date: 1988

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

zbMATH Keywords

Korteweg-de Vries equationsnonlinear Schrödingercontinuous integrable equationsdiscrete evolution equations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theoretical approximation in context of PDEs (35A35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation, Discretization of hyperbolic type Darboux integrable equations preserving integrability

Cites Work

• Nonlinear differential–difference equations and Fourier analysis
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