= Bäcklund transformation
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{title2=$v=\mathcal B_a[u]$}
= Bäcklund transform
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{synonym}
A parameter-dependent system of differential relations maps a solution of one differential equation to a solution of another, or to a new solution of the same equation. Compatibility of the relations supplies the equations of motion. Integration constants select a particular transformed field. The <Sine-Gordon Bäcklund transformation> is an example of an auto-transformation and also generates <conserved currents>.
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