Ukrainian Mathematical Journal

, Volume 42, Issue 2, pp 197–203 | Cite as

Complex solutions of general Korteweg-de Vries equation: Inverse problem method

  • I. -P. P. Syroid
Article

Abstract

The inverse method of scattering problem has been applied to find complex solutions of the general Korteweg-de Vries equation. The direct and inverse problem have been considered for nonself-adjoint one-dimensional Schrödinger operator (with complex potential) in L2(ℝ). The used technique of inverse problems for nonself-adjoint operators has been developed by V. É. Lyantse and his disciples.

Keywords

Inverse Problem Complex Solution Inverse Method Complex Potential Vries Equation 
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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • I. -P. P. Syroid
    • 1
  1. 1.Institute of Applied Problems of Mathematics and MechanicsAcademy of Sciences of the Ukrainian SSRL'vov

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