279 citations · 441 across the 12 of their papers we have counts for
12 papers
Gravitation and Special Relativity
D. H. Sattinger
A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangia…
Maxwell's Equations, Hodge Theory, and Gravitation
D. H. Sattinger
A mathematical proof is given that Maxwell's equations are an {\it artifact} of Hodge theory together with the laws of Gauss and Ampère, taken as axioms. They are thus geometric in…
Variational Principles for Water Waves
Boris Kolev, David H. Sattinger
We describe the Hamiltonian structures, including the Poisson brackets and Hamiltonians, for free boundary problems for incompressible fluid flows with vorticity. The Hamiltonian s…
Soliton Collisions in the Ion Acoustic Plasma Equations
Yi Li, D. H. Sattinger
Numerical experiments involving the interaction of two solitary waves of the ion acoustic plasma equations are described. An exact 2-soliton solution of the relevant KdV equation w…
Multipeakons and the Classical Moment Problem
Richard Beals, D. H. Sattinger, J. Szmigielski
Classical results of Stieltjes are used to obtain explicit formulas for the peakon-antipeakon solutions of the Camassa-Holm equation. The closed form solution is expressed in terms…
Multipeakons and a theorem of Stieltjes
R. Beals, D. H. Sattinger, J. Szmigielski
A closed form of the multi-peakon solutions of the Camassa-Holm equation is found using a theorem of Stieltjes on continued fractions. An explicit formula is obtained for the scatt…