Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
A new interpretation of the Bäcklund transformation of the sine-Gordon equation
Ze-Jun Hu, Zhen-Zu Sun
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Keywords: Bäcklund transformation, sine-Gordon equation, geodesic curvature, geodesic orthogonal coordinates
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2000 Volume 23 Issue 1 Pages 100-104

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Abstract
Using special geodesic orthogonal coordinates on surfaces of constant Gauss curvature −1 in R3, a new interpretation of the Bäcklund transformation of the sine-Gordon equation is given by elementary geometric procedure.
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© Department of Mathematics, Tokyo Institute of Technology
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