A class of Bäcklund transformations for equations of the type u xy=f(u,ux)
Date
1991Source
Journal of Mathematical PhysicsVolume
32Issue
11Pages
3176-3183Google Scholar check
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The Bäcklund transformation u = F(u′,u′x, u′y) is considered for equations of the form uxy = f(u,ux). The nonlinear forms of f(u,ux) that admit such transformations are completely classified. New Bäcklund transformations for modified sine-Gordon, modified sinh-Gordon, and modified Liouville equations are obtained. © 1991 American Institute of Physics.