Biomedical subjects
Publications and source records attributed to R Benguria.
A class of Bäcklund transformations for multidimensional sine-Gordon equations is shown to relate solutions of only one- and two-dimensional equations. Also, a proposed superposition principle is shown to be useless.
It is shown that any Bäcklund transformation of a nonlinear differential equation integrable by the multichannel Schrödinger eigenvalue problem can be written in the form V(x) = U'V - VU. This allows us to interpret the Bäcklund transformation formally as a nonlinear differential difference equation for which we can immediately construct the soliton solutions.
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