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Darboux transformations and \(\mathcal D\)-modules

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Publication:1586717
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DOI10.1007/BF02551191zbMath0976.37041OpenAlexW2068107800MaRDI QIDQ1586717

R. Smith

Publication date: 23 November 2000

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

Full work available at URL: https://doi.org/10.1007/bf02551191


zbMATH Keywords

Laplace transformDarboux mapLaplace maptwist invariants


Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Second-order hyperbolic equations (35L10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)





Cites Work

  • Unnamed Item
  • Laplace transformations of hydrodynamic-type systems in Riemann invariants
  • Laplace transformation in higher dimensions
  • A \(\mathbf Z^2\times\mathbf R^3\) Toda system
  • Homomorphisms and extensions of modules over certain differential polynomial rings
  • On the Lie symmetry algebra of a general ordinary differential equation
  • Darboux theorems and factorization of second- and third-order ordinary differential operators
  • Galois groups and elementary solutions of some linear differential equations.
  • On the characterization of Moutard transformations




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