Cole—Hopf like transformation for a class of coupled nonlinear Schrödinger equations

@inproceedings{Kaniadakis2002ColeHopfLT,
  title={Cole—Hopf like transformation for a class of coupled nonlinear Schr{\"o}dinger equations},
  author={Giorgio Kaniadakis and Elio Miraldi and Antonio Maria Scarfone},
  year={2002}
}
  • Giorgio Kaniadakis, Elio Miraldi, Antonio Maria Scarfone
  • Published 2002
  • Mathematics, Physics
  • Abstract In this paper we consider a class of coupled nonlinear Schrodinger equations for the fields ψ i containing complex nonlinearities, that has been obtained by requiring that the norms |ψ i | 2 are conserved densities. For this class of equations we introduce a Cole—Hopf like transformation, whose effect is to reduce the complex nonlinearities into real ones, this way reducing the continuity equations of the system to the standard bilinear form. Some examples are presented to illustrate… CONTINUE READING

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