Abstract
Bäcklund transformations (BTs) and Lax pairs are introduced as particular examples of integrable systems of PDEs. The Maxwell equations for the electromagnetic field are shown to constitute a BT for the electromagnetic wave equations. The use of BTs as recursion operators for producing symmetries of PDEs is described.
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Papachristou, C.J. (2019). Integrable Systems of Partial Differential Equations. In: Aspects of Integrability of Differential Systems and Fields. SpringerBriefs in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-35002-4_6
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DOI: https://doi.org/10.1007/978-3-030-35002-4_6
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