Bäcklund transformations for multidimensional sine-Gordon equations

R Benguria; K M Case

doi:10.1073/pnas.77.8.4393

Bäcklund transformations for multidimensional sine-Gordon equations

Proc Natl Acad Sci U S A. 1980 Aug;77(8):4393-4. doi: 10.1073/pnas.77.8.4393.

Authors

R Benguria¹, K M Case

Affiliation

¹ The Rockefeller University, New York, New York 10021.

Abstract

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.