Theoretical and Mathematical Physics

, Volume 118, Issue 3, pp 347–356 | Cite as

Geometry and multidimensional soliton equations

  • R. Myrzakulov
  • A. K. Danlybaeva
  • G. N. Nugmanova


The connection between the differential geometry of curves and (2+1)-dimensional integrable systems is established. The Zakharov equation, the modified Veselov-Novikov equation, the modified Kortewegde Vries equation, etc., are equivalent in the Lakshmanan sense to (2+1)-dimensional spin systems.


Soliton Spin System Topological Charge Vries Equation Spin Equation 
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

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • R. Myrzakulov
    • 1
  • A. K. Danlybaeva
    • 1
  • G. N. Nugmanova
    • 1
  1. 1.Physicotechnical InstituteMinistry of Science and Academy of Sciences of KazakhstanAlma-AtaKazakhstan

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