Almost integrable evolution equations

DOI10.1007/BF02637315zbMath1022.35062OpenAlexW2079983723MaRDI QIDQ1871753

Peter H. van der Kamp, Jan A. Sanders

Publication date: 4 May 2003

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02637315

zbMATH Keywords

evolution equationssymmetriesalmost complete integrabilitysymbolic calculus of Gel'fand-Dikii

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (11)

On the integrability of systems of second order evolution equations with two components ⋮ Classification of integrable \(\mathcal B\)-equations ⋮ Perturbative symmetry approach for differential-difference equations ⋮ Towards the complete classification of homogeneous two-component integrable equations ⋮ Lie symmetries, integrable properties and exact solutions to the variable-coefficient nonlinear evolution equations ⋮ On formal integrability of evolution equations and local geometry of surfaces ⋮ Generalized symmetry classifications, integrable properties and exact solutions to the general nonlinear diffusion equations ⋮ Infinitely many local higher symmetries without recursion operator or master symmetry: integrability of the Foursov-Burgers system revisited ⋮ Number Theory and the Symmetry Classification of Integrable Systems ⋮ Global classification of two-component approximately integrable evolution equations ⋮ Almost integrable evolution equations

Cites Work

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• Complete integrability of derivative nonlinear Schrödinger-type equations
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• On integrability of systems of evolution equations
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