CPT Symmetries and the Backlund Transformations

Details CPT Symmetries and the Backlund Transformations CPT Symmetries and the Backlund Transformations

1999-09-10

arxiv.org/abs/solv-int/9909007v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

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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