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Theoretical and Mathematical Physics

, Volume 105, Issue 3, pp 1490–1499 | Cite as

Dual 1490-11490-11490-1-problem, (2+1)-dimensional intergrable nonlinear evolution equations and their reductions

  • A. I. Zenchuk
  • S. V. Manakov
Article

Abstract

For a compact description of integrable systems of partial derivative equations (PDE), with singular dispersion relations in (2+1)-dimensions, the dual\(\bar \partial \)-problem with arbitrary normalization is used. Symmetry reductions and the corresponding Lax representations are discussed. The singular KP-hierarchy, as well as the Schrödinger equation with a magnetic field, are considered as examples.

Keywords

Magnetic Field Dispersion Relation Evolution Equation Integrable System Nonlinear Evolution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 1996

Authors and Affiliations

  • A. I. Zenchuk
    • 1
  • S. V. Manakov
    • 1
  1. 1.Landau Institute for Theoretical PhysicsUSSR

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