86 citations
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math-ph2015
The Maxwell equations as a Bäcklund transformation
C. J. Papachristou
Backlund transformations (BTs) are a useful tool for integrating nonlinear partial differential equations (PDEs). However, the significance of BTs in linear problems should not be…
math-ph2008★ 2 cited
Backlund-Transformation-Related Recursion Operators: Application to the Self-Dual Yang-Mills Equation
C. J. Papachristou, B. Kent Harrison
By using the self-dual Yang-Mills (SDYM) equation as an example, we study a method for relating symmetries and recursion operators of two partial differential equations connected t…
math-ph2008★ 7 cited
Symmetry and Integrability of Classical Field Equations
C. J. Papachristou
A number of characteristics of integrable nonlinear partial differential equations (PDE's) for classical fields are reviewed, such as Backlund transformations, Lax pairs, and infin…