279 citations · 361 across the 10 of their papers we have counts for
10 papers
A 2-component Camassa-Holm equation, Euler-Bernoulli Beam Problem and Non-Commutative Continued Fractions
Richard Beals, Jacek Szmigielski
A new approach to the Euler-Bernoulli beam based on an inhomogeneous matrix string problem is presented. Three ramifications of the approach are developed: (1) motivated by an anal…
Constructing Solutions to Two-Way Diffusion Problems
Caleb G. Wagner, Richard Beals
A variety of boundary value problems in linear transport theory are expressed as a diffusion equation of the two-way, or forward-backward, type. In such problems boundary data are…
Constructive factorization of LPDO in two variables
R. Beals, E. Kartashova
We study conditions under which a partial differential operator of arbitrary order in two variables or ordinary linear differential operator admits a factorization with a first…
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…
Acoustic Scattering and the Extended Korteweg deVries hierarchy
R. Beals, D. H. Sattinger, J. Szmigielski
The acoustic scattering operator on the real line is mapped to a Schrödinger operator under the Liouville transformation. The potentials in the image are characterized precisely in…