English

CPT Symmetries and the Backlund Transformations

solv-int 2007-05-23 v1 Exactly Solvable and Integrable Systems

Abstract

We show that the auto-Backlund transformations of the sine-Gordon, Korteweg-deVries, nonlinear Schrodinger, and Ernst equations are related to their respective CPT symmetries. This is shown by applying the CPT symmetries of these equations to the Riccati equations of the corresponding pseudopotential functions where the fields are allowed to transform into new solutions while the pseudopotential functions and the Backlund parameter are held fixed.

Keywords

Cite

@article{arxiv.solv-int/9909007,
  title  = {CPT Symmetries and the Backlund Transformations},
  author = {Hans J. Wospakrik and Freddy P. Zen},
  journal= {arXiv preprint arXiv:solv-int/9909007},
  year   = {2007}
}

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12 pages