302 citations · 1k across the 44 of their papers we have counts for
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Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
The paper investigates the properties of certain biorthogonal polynomials appearing in a specific simultaneous Hermite-Pade' approximation scheme. Associated to any totally positiv…
Cubic String Boundary Value Problems and Cauchy Biorthogonal Polynomials
M. Bertola, M. Gekhtman, J. Szmigielski
Cauchy Biorthogonal Polynomials appear in the study of special solutions to the dispersive nonlinear partial differential equation called the Degasperis-Procesi (DP) equation, as w…
Explicit multipeakon solutions of Novikov's cubically nonlinear integrable Camassa-Holm type equation
Andrew N. W. Hone, Hans Lundmark, Jacek Szmigielski
Recently Vladimir Novikov found a new integrable analogue of the Camassa-Holm equation, admitting peaked soliton (peakon) solutions, which has nonlinear terms that are cubic, rathe…