منابع مشابه
Backlund Transformations and Three-dimensional Lati'ice Equations
1. The investigation of nonlinear evolution equations in multi-dimensional space-time has received much interest recently [ 1-7] . Although a lot of progress has been made in extending the inverse-scattering transform to higher-dimensional equations,such as the Kadomtsev-Petviashvili (KP) equation [1 ], some of the essential features are not completely understood. In order to obtain more insigh...
متن کاملBacklund transformations and knots of constant torsion
The BB acklund transformation for pseudospherical surfaces, which is equivalent to that of the sine-Gordon equation, can be restricted to give a transformation on space curves that preserves constant torsion. We study its eeects on closed curves (in particular, elastic rods) that generate multiphase solutions for the vortex lament ow (also known as the Localized Induction Equation). In doing so...
متن کاملNote on Transitive Transformations.
I Bridges, C. B., Science N. S., 54, 252-254 (1921). 2 Schrader, F., and Sturtevant, A. H., Am. Nat., 57, 379-381 (1923). 3 Bridges, C. B., Ibid., 59, 127-137 (1925). 4 Bridges, C. B., Proc. Nat. Acad. Sci., 11, 706-710 (1925). 5 Bridges, C. B., Science N. S., 72, 405-406 (1930). 6 Schrader, F., and Hughes-Schrader, S., Quart. Rev. Biol., 6, 411-438 (1931). 7 Whiting, P. W., Jour. Hered., 26, 2...
متن کاملA Note on Cremona Transformations
In 1883 Kantor' stated and attempted a demonstration of a theorem which asserted that the satisfaction of a system of equations by a certain set of positive integers was sufficient to assure that these integers would represent a planar Cremona transformation. Since then the theorem has been repeated several times in the literature. Recently Coolidge2 attached new significance to the theorem and...
متن کاملNote on clock synchronization and Edwards transformations
Edwards transformations relating inertial frames with arbitrary clock synchronization are reminded and put in more general setting. Their group theoretical context is described. ∗supported by Lódź.University grant no. 795 1
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1987
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/20/4/034