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CPT Symmetries and the Backlund Transformations

1999/09/10 by Hans J. Wospakrik, Wospakrik, Hans J., Freddy P. Zen +1
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Molecular spectroscopy and chirality #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9909007

12 pages

arxiv created 1999/09/10 · openalex publication_date 1999/09/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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