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Geometrical interpretations of Bäcklund transformations and certain types of partial differential equations : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematics at Massey University

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Figure

Figure 1.1: The surface S and the curve r
Figure 1.2: The normal and tangential curvature vectors
Figure 1.3: Coordinate transformation from coordinate system I to the coordinate system II
Figure 2.1: Surface I: described by the vector r( u, v).
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