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Wahlquist, H. D.

Publications and source records attributed to Wahlquist, H. D..

29 records · Page 2

Response of Doppler spacecraft tracking to gravitational radiation

A calculation is made of the effect of gravity waves on the observed Doppler shift of a sinusoidal electromagnetic signal transmitted to, and transponded from, a distant spacecraft. We find that the effect of plane gravity waves on such observations is not intuitively immediate and in fact can have surprisingly different spectral signatures for different spacecraft directions and distances. We suggest the possibility of detecting such plane waves by simultaneous coherent Doppler tracking of several spacecraft.

Estabrook, F. B.

Backlund transformation for solutions of the Korteweg-de Vries equation

We present a Backlund transformation operating on solutions of the Korteweg-de Vries equation. It provides a unifying approach to the theory of solitary waves (solutions). Recursive application of the transformation to any solution of the Korteweg-de Vries equation generates a hierarchy of solutions for which an algebraic recursion relation is obtained. Every such hierarchy (one of which is the known family of pure multisoliton solutions) thus admits a nonlinear superposition principle.

Wahlquist, H. D.

Hamiltonian cosmology

Polynomial Hamiltonian for type VIII and IX vacuum cosmologies, suggesting quantized versions involving fluctuations of 3-space signature and topology

Estabrook, F. B.

Rigid motions in Einstein spaces.

General relativistic dyadic formalism applied to metrics of rigid bodies moving in Einstein space of uniform space-time curvature

SPACE-TIME METRIC