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Darboux transformation and two-dimensional Toda lattice

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Publication:1053182
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DOI10.1007/BF01084172zbMath0517.35073MaRDI QIDQ1053182

J. Blot

Publication date: 1983

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)


zbMATH Keywords

Toda latticeDarboux transformationmultisoliton solutions


Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99)


Related Items (1)

“Riemann equations” in bidifferential calculus



Cites Work

  • Unnamed Item
  • Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
  • Darboux transformation and the explicit solutions of differential- difference and difference-difference evolution equations. I
  • On a direct method of constructing multi-soliton solutions
  • Differential-difference evolution equations. II: Darboux transformation for the Toda lattice
  • Difference Equations: Disconjugacy, Principal Solutions, Green's Functions, Complete Monotonicity


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