(L,A)-pairs and a Riccati type substitution
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Publication:1169090
DOI10.1007/BF01086571zbMath0494.35025MaRDI QIDQ1169090
A. B. Shabat, Vladimir Sokolov
Publication date: 1980
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
operator equationdifferential equation with constant coefficientsdual operator equationsubstitution of the Riccati type
General theory of PDEs and systems of PDEs with constant coefficients (35E20) Initial value problems for linear higher-order PDEs (35G10) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Higher-order parabolic equations (35K25)
Related Items (9)
Factorization of operators and completely integrable Hamiltonian systems ⋮ Non-abelian evolution systems with conservation laws ⋮ Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type ⋮ Extension of the module of invertible transformations. Classification of integrable systems ⋮ Group theoretical symmetries and generalized Bäcklund transformations for integrable systems ⋮ Modifying Lax equations and the second Hamiltonian structure ⋮ Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions ⋮ Hamiltonian structure of the integrale equations under matrix \(Z^ n\)- reduction ⋮ Loop groups and equations of KdV type
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