Korteweg-de Vries and nonlinear equations related to the Toda lattice

DOI10.1016/0001-8708(82)90003-2zbMath0508.58025OpenAlexW1968228609MaRDI QIDQ1837966

Martin jun. Schwarz

Publication date: 1982

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(82)90003-2

zbMATH Keywords

nonlinear latticesdiscrete versions of Korteweg-de Vries equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (12)

Integral powers of the Sturm-Liouville operator and the theory of partitions ⋮ On the continuous limit of integrable lattices. I: The Kac-Moerbeke system and KdV theory ⋮ From a generalized discrete NLS equation in discrete alpha helical proteins to the fourth-order NLS equation ⋮ A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions ⋮ A fifth order semidiscrete mKdV equation ⋮ Continuum limits for rational, breather solutions, and gauge equivalent model of the generalized discrete nonlinear Schrödinger equation ⋮ Integrable semi-discrete Kundu-Eckhaus equation: Darboux transformation, breather, rogue wave and continuous limit theory ⋮ On a new semi-discrete integrable combination of Burgers and Sharma-Tasso-Olver equation ⋮ Continuous Correspondence of Conservation Laws of the Semi-discrete AKNS System ⋮ On the Continuous Limit of Integrable Lattices II. Volterra Systems and SP(N) Theories ⋮ Multisoliton, multipositon, multinegaton, and multiperiodic solutions of a coupled Volterra lattice system and their continuous limits ⋮ On the continuous limits and integrability of a new coupled semidiscrete mKdV system

Cites Work

• On an explicitly soluble system of nonlinear differential equations related to certain Toda lattices
• Elliptische Differenzenoperatoren unter Dirichlet-Randbedingungen
• Sur un problème non linéaire
• Korteweg-de Vries equation: a completely integrable Hamiltonian system

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