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Integrals of motion of the reduced three-wave interaction system

Authors
Journal
Mathematical and Computer Modelling
0895-7177
Publisher
Elsevier
Publication Date
Identifiers
DOI: 10.1016/j.mcm.2009.10.018
Keywords
  • Integral Of Motion
  • Darboux Method
  • Polynomial First Integral
  • The Method Of Characteristic Curves
  • Reduced Three-Wave Interaction System
Disciplines
  • Mathematics

Abstract

Abstract By using the Darboux method of integrability and solving linear partial differential equations, the whole classification of the integrals of motion of the reduced three-wave interaction system is obtained. Rigorous proof is given.

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