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Journal of Soviet Mathematics

, Volume 31, Issue 6, pp 3307–3316 | Cite as

Multidimensional nonlinear integrable systems and methods for constructing their solutions

  • V. E. Zakharov
  • S. V. Manakov
Article

Abstract

A new method for constructing multidimensional nonlinear integrable systems and their solutions by means of a nonlocal Riemann problem is presented. This is the natural generalization of the method of the local Riemann problem to the case of several space variables and includes the well-known Zakharov-Shabat method of dressing by Volterra operators.

Keywords

Integrable System Space Variable Natural Generalization Riemann Problem Volterra Operator 
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 1985

Authors and Affiliations

  • V. E. Zakharov
  • S. V. Manakov

There are no affiliations available

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