Linear integral transformations and hierarchies of integrable nonlinear evolution equations

DOI10.1016/0167-2789(88)90003-6zbMath0654.35086OpenAlexW1967009566MaRDI QIDQ1108492

Frank W. Nijhoff

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90003-6

zbMATH Keywords

nonlinear evolution equationslinear integral equationsHeisenberg ferromagnetnonlinear recursioninfinite-matrix structureIntegrable hierarchies

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Nonlinear higher-order PDEs (35G20) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (9)

The discrete Korteweg-de Vries equation ⋮ Fredholm determinants and the mKdV/Sinh-Gordon hierarchies ⋮ Linear integral equations, infinite matrices, and soliton hierarchies ⋮ On a coupled Kadomtsev–Petviashvili system associated with an elliptic curve ⋮ A variational approach to Lax representations ⋮ Lagrangian 3-form structure for the Darboux system and the KP hierarchy ⋮ Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies ⋮ Lagrangian multiforms on Lie groups and non-commuting flows ⋮ Linear integral equations and multicomponent nonlinear integrable systems. II

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